Loading the ECCOv4 native model grid parameters¶
Objectives¶
Briefly show how to open the ECCOv4 grid file as an xarray
dataset, plot parameters, and create subsets of the grid dataset.
Introduction¶
The ECCOv4 model grid parameters are provided as a single NetCDF file. It can be downloaded using the ecco_podaac_download
function as described in the download tutorial. The ShortName for the dataset is ECCO_L4_GEOMETRY_LLC0090GRID_V4R4. The grid parameters file has no time dimension, but ecco_podaac_download
requires a StartDate and EndDate to be specified;
any date in the range 1992-2017 can be used.
Load the ECCOv4 model grid parameter NetCDF file¶
Because the ECCOv4 model grid parameter data is provided in a single file you can use the open_dataset
routine from xarray
to open it.
First set up your environment.
[1]:
import numpy as np
import xarray as xr
import sys
import matplotlib.pyplot as plt
%matplotlib inline
[2]:
## Import the ecco_v4_py library into Python
## =========================================
## -- If ecco_v4_py is not installed in your local Python library,
## tell Python where to find it. For example, if your ecco_v4_py
## files are in /Users/ifenty/ECCOv4-py/ecco_v4_py, then use:
from os.path import expanduser,join
import sys
user_home_dir = expanduser('~')
sys.path.append(join(user_home_dir,'ECCOv4-py'))
import ecco_v4_py as ecco
[3]:
## Set top-level file directory for the ECCO NetCDF files
## change ECCO_dir as needed
ECCO_dir = join(user_home_dir,'Downloads','ECCO_V4r4_PODAAC')
[4]:
# grid parameter file name and path (after it has been downloaded)
grid_params_shortname = "ECCO_L4_GEOMETRY_LLC0090GRID_V4R4"
grid_params_file = "GRID_GEOMETRY_ECCO_V4r4_native_llc0090.nc"
grid_params_file_path = join(ECCO_dir,grid_params_shortname,grid_params_file)
# open grid parameters file
grid = xr.open_dataset(grid_params_file_path)
# show contents of grid_dataset
grid
[4]:
<xarray.Dataset> Dimensions: (i: 90, i_g: 90, j: 90, j_g: 90, k: 50, k_u: 50, k_l: 50, k_p1: 51, tile: 13, nb: 4, nv: 2) Coordinates: (12/20) * i (i) int32 0 1 2 3 4 5 6 7 8 9 10 ... 80 81 82 83 84 85 86 87 88 89 * i_g (i_g) int32 0 1 2 3 4 5 6 7 8 9 ... 80 81 82 83 84 85 86 87 88 89 * j (j) int32 0 1 2 3 4 5 6 7 8 9 10 ... 80 81 82 83 84 85 86 87 88 89 * j_g (j_g) int32 0 1 2 3 4 5 6 7 8 9 ... 80 81 82 83 84 85 86 87 88 89 * k (k) int32 0 1 2 3 4 5 6 7 8 9 10 ... 40 41 42 43 44 45 46 47 48 49 * k_u (k_u) int32 0 1 2 3 4 5 6 7 8 9 ... 40 41 42 43 44 45 46 47 48 49 ... ... Zp1 (k_p1) float32 0.0 -10.0 -20.0 ... -5.244e+03 -5.678e+03 -6.134e+03 Zu (k_u) float32 -10.0 -20.0 -30.0 ... -5.678e+03 -6.134e+03 Zl (k_l) float32 0.0 -10.0 -20.0 ... -4.834e+03 -5.244e+03 -5.678e+03 XC_bnds (tile, j, i, nb) float32 ... YC_bnds (tile, j, i, nb) float32 ... Z_bnds (k, nv) float32 0.0 -10.0 -10.0 ... -5.678e+03 -6.134e+03 Dimensions without coordinates: nb, nv Data variables: (12/21) CS (tile, j, i) float32 ... SN (tile, j, i) float32 ... rA (tile, j, i) float32 ... dxG (tile, j_g, i) float32 ... dyG (tile, j, i_g) float32 ... Depth (tile, j, i) float32 ... ... ... hFacC (k, tile, j, i) float32 ... hFacW (k, tile, j, i_g) float32 ... hFacS (k, tile, j_g, i) float32 ... maskC (k, tile, j, i) bool ... maskW (k, tile, j, i_g) bool ... maskS (k, tile, j_g, i) bool ... Attributes: (12/58) acknowledgement: This research was carried out by the Jet... author: Ian Fenty and Ou Wang cdm_data_type: Grid comment: Fields provided on the curvilinear lat-l... Conventions: CF-1.8, ACDD-1.3 coordinates_comment: Note: the global 'coordinates' attribute... ... ... references: ECCO Consortium, Fukumori, I., Wang, O.,... source: The ECCO V4r4 state estimate was produce... standard_name_vocabulary: NetCDF Climate and Forecast (CF) Metadat... summary: This dataset provides geometric paramete... title: ECCO Geometry Parameters for the Lat-Lon... uuid: 87ff7d24-86e5-11eb-9c5f-f8f21e2ee3e0
- i: 90
- i_g: 90
- j: 90
- j_g: 90
- k: 50
- k_u: 50
- k_l: 50
- k_p1: 51
- tile: 13
- nb: 4
- nv: 2
- i(i)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- X
- long_name :
- grid index in x for variables at tracer and 'v' locations
- swap_dim :
- XC
- comment :
- In the Arakawa C-grid system, tracer (e.g., THETA) and 'v' variables (e.g., VVEL) have the same x coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- i_g(i_g)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- X
- long_name :
- grid index in x for variables at 'u' and 'g' locations
- c_grid_axis_shift :
- -0.5
- swap_dim :
- XG
- comment :
- In the Arakawa C-grid system, 'u' (e.g., UVEL) and 'g' variables (e.g., XG) have the same x coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- j(j)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- Y
- long_name :
- grid index in y for variables at tracer and 'u' locations
- swap_dim :
- YC
- comment :
- In the Arakawa C-grid system, tracer (e.g., THETA) and 'u' variables (e.g., UVEL) have the same y coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- j_g(j_g)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- Y
- long_name :
- grid index in y for variables at 'v' and 'g' locations
- c_grid_axis_shift :
- -0.5
- swap_dim :
- YG
- comment :
- In the Arakawa C-grid system, 'v' (e.g., VVEL) and 'g' variables (e.g., XG) have the same y coordinate.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- k(k)int320 1 2 3 4 5 6 ... 44 45 46 47 48 49
- axis :
- Z
- long_name :
- grid index in z for tracer variables
- swap_dim :
- Z
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])
- k_u(k_u)int320 1 2 3 4 5 6 ... 44 45 46 47 48 49
- axis :
- Z
- long_name :
- grid index in z corresponding to the bottom face of tracer grid cells ('w' locations)
- c_grid_axis_shift :
- 0.5
- swap_dim :
- Zu
- comment :
- First index corresponds to the bottom face of the uppermost tracer grid cell. The use of 'u' in the variable name follows the MITgcm convention for naming the bottom face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])
- k_l(k_l)int320 1 2 3 4 5 6 ... 44 45 46 47 48 49
- axis :
- Z
- long_name :
- grid index in z corresponding to the top face of tracer grid cells ('w' locations)
- c_grid_axis_shift :
- -0.5
- swap_dim :
- Zl
- comment :
- First index corresponds to the top face of the uppermost tracer grid cell. The use of 'l' in the variable name follows the MITgcm convention for naming the top face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])
- k_p1(k_p1)int320 1 2 3 4 5 6 ... 45 46 47 48 49 50
- axis :
- Z
- long_name :
- grid index in z for variables at 'w' locations
- c_grid_axis_shift :
- [-0.5 0.5]
- swap_dim :
- Zp1
- comment :
- Includes top of uppermost model tracer cell (k_p1=0) and bottom of lowermost tracer cell (k_p1=51).
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50])
- tile(tile)int320 1 2 3 4 5 6 7 8 9 10 11 12
- long_name :
- lat-lon-cap tile index
- comment :
- The ECCO V4 horizontal model grid is divided into 13 tiles of 90x90 cells for convenience.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12])
- XC(tile, j, i)float32...
- long_name :
- longitude of tracer grid cell center
- units :
- degrees_east
- coordinate :
- YC XC
- bounds :
- XC_bnds
- comment :
- nonuniform grid spacing
- coverage_content_type :
- coordinate
- standard_name :
- longitude
[105300 values with dtype=float32]
- YC(tile, j, i)float32...
- long_name :
- latitude of tracer grid cell center
- units :
- degrees_north
- coordinate :
- YC XC
- bounds :
- YC_bnds
- comment :
- nonuniform grid spacing
- coverage_content_type :
- coordinate
- standard_name :
- latitude
[105300 values with dtype=float32]
- XG(tile, j_g, i_g)float32...
- long_name :
- longitude of 'southwest' corner of tracer grid cell
- units :
- degrees_east
- coordinate :
- YG XG
- comment :
- Nonuniform grid spacing. Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- standard_name :
- longitude
[105300 values with dtype=float32]
- YG(tile, j_g, i_g)float32...
- long_name :
- latitude of 'southwest' corner of tracer grid cell
- units :
- degrees_north
- comment :
- Nonuniform grid spacing. Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- standard_name :
- latitude
[105300 values with dtype=float32]
- Z(k)float32...
- long_name :
- depth of tracer grid cell center
- units :
- m
- positive :
- up
- bounds :
- Z_bnds
- comment :
- Non-uniform vertical spacing.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([-5.000000e+00, -1.500000e+01, -2.500000e+01, -3.500000e+01, -4.500000e+01, -5.500000e+01, -6.500000e+01, -7.500500e+01, -8.502500e+01, -9.509500e+01, -1.053100e+02, -1.158700e+02, -1.271500e+02, -1.397400e+02, -1.544700e+02, -1.724000e+02, -1.947350e+02, -2.227100e+02, -2.574700e+02, -2.999300e+02, -3.506800e+02, -4.099300e+02, -4.774700e+02, -5.527100e+02, -6.347350e+02, -7.224000e+02, -8.144700e+02, -9.097400e+02, -1.007155e+03, -1.105905e+03, -1.205535e+03, -1.306205e+03, -1.409150e+03, -1.517095e+03, -1.634175e+03, -1.765135e+03, -1.914150e+03, -2.084035e+03, -2.276225e+03, -2.491250e+03, -2.729250e+03, -2.990250e+03, -3.274250e+03, -3.581250e+03, -3.911250e+03, -4.264250e+03, -4.640250e+03, -5.039250e+03, -5.461250e+03, -5.906250e+03], dtype=float32)
- Zp1(k_p1)float32...
- long_name :
- depth of top/bottom face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- Contains one element more than the number of vertical layers. First element is 0m, the depth of the top face of the uppermost grid cell. Last element is the depth of the bottom face of the deepest grid cell.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ 0. , -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. , -6134.5 ], dtype=float32)
- Zu(k_u)float32...
- long_name :
- depth of bottom face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- First element is -10m, the depth of the bottom face of the uppermost tracer grid cell. Last element is the depth of the bottom face of the deepest grid cell. The use of 'u' in the variable name follows the MITgcm convention for naming the bottom face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. , -6134.5 ], dtype=float32)
- Zl(k_l)float32...
- long_name :
- depth of top face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- First element is 0m, the depth of the top face of the uppermost tracer grid cell (i.e., the ocean surface). Last element is the depth of the top face of the deepest grid cell. The use of 'l' in the variable name follows the MITgcm convention for naming the top face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ 0. , -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. ], dtype=float32)
- XC_bnds(tile, j, i, nb)float32...
- comment :
- Bounds array follows CF conventions. XC_bnds[i,j,0] = 'southwest' corner (j-1, i-1), XC_bnds[i,j,1] = 'southeast' corner (j-1, i+1), XC_bnds[i,j,2] = 'northeast' corner (j+1, i+1), XC_bnds[i,j,3] = 'northwest' corner (j+1, i-1). Note: 'southwest', 'southeast', northwest', and 'northeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- long_name :
- longitudes of tracer grid cell corners
[421200 values with dtype=float32]
- YC_bnds(tile, j, i, nb)float32...
- comment :
- Bounds array follows CF conventions. YC_bnds[i,j,0] = 'southwest' corner (j-1, i-1), YC_bnds[i,j,1] = 'southeast' corner (j-1, i+1), YC_bnds[i,j,2] = 'northeast' corner (j+1, i+1), YC_bnds[i,j,3] = 'northwest' corner (j+1, i-1). Note: 'southwest', 'southeast', northwest', and 'northeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- long_name :
- latitudes of tracer grid cell corners
[421200 values with dtype=float32]
- Z_bnds(k, nv)float32...
- comment :
- One pair of depths for each vertical level.
- coverage_content_type :
- coordinate
- long_name :
- depths of top and bottom faces of tracer grid cell
array([[ 0. , -10. ], [ -10. , -20. ], [ -20. , -30. ], [ -30. , -40. ], [ -40. , -50. ], [ -50. , -60. ], [ -60. , -70. ], [ -70. , -80.01 ], [ -80.01 , -90.04 ], [ -90.04 , -100.15 ], [ -100.15 , -110.47 ], [ -110.47 , -121.270004], [ -121.270004, -133.03 ], [ -133.03 , -146.45 ], [ -146.45 , -162.48999 ], [ -162.48999 , -182.31 ], [ -182.31 , -207.16 ], [ -207.16 , -238.26001 ], [ -238.26001 , -276.68 ], [ -276.68 , -323.18 ], [ -323.18 , -378.18 ], [ -378.18 , -441.68 ], [ -441.68 , -513.26 ], [ -513.26 , -592.16003 ], [ -592.16003 , -677.31006 ], [ -677.31006 , -767.49005 ], [ -767.49005 , -861.4501 ], [ -861.4501 , -958.0301 ], [ -958.0301 , -1056.28 ], [-1056.28 , -1155.53 ], [-1155.53 , -1255.54 ], [-1255.54 , -1356.87 ], [-1356.87 , -1461.4299 ], [-1461.4299 , -1572.7599 ], [-1572.7599 , -1695.5898 ], [-1695.5898 , -1834.6798 ], [-1834.6798 , -1993.6199 ], [-1993.6199 , -2174.45 ], [-2174.45 , -2378. ], [-2378. , -2604.5 ], [-2604.5 , -2854. ], [-2854. , -3126.5 ], [-3126.5 , -3422. ], [-3422. , -3740.5 ], [-3740.5 , -4082. ], [-4082. , -4446.5 ], [-4446.5 , -4834. ], [-4834. , -5244.5 ], [-5244.5 , -5678. ], [-5678. , -6134.5 ]], dtype=float32)
- CS(tile, j, i)float32...
- long_name :
- cosine of tracer grid cell orientation vs geographical north
- units :
- 1
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- comment :
- CS and SN are required to calculate the geographic (meridional, zonal) components of vectors on the curvilinear model grid. Note: for vector R with components R_x and R_y: R_{east} = CS R_x - SN R_y. R_{north} = SN R_x + CS R_y
[105300 values with dtype=float32]
- SN(tile, j, i)float32...
- long_name :
- sine of tracer grid cell orientation vs geographical north
- units :
- 1
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- comment :
- CS and SN are required to calculate the geographic (meridional, zonal) components of vectors on the curvilinear model grid. Note: for vector R with components R_x and R_y in local grid directions x and y, the geographical eastward component R_{east} = CS R_x - SN R_y. The geographical northward component R_{north} = SN R_x + CS R_y.
[105300 values with dtype=float32]
- rA(tile, j, i)float32...
- long_name :
- area of tracer grid cell
- units :
- m2
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
[105300 values with dtype=float32]
- dxG(tile, j_g, i)float32...
- long_name :
- distance between 'southwest' and 'southeast' corners of the tracer grid cell
- units :
- m
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'south' side of tracer grid cell. Note: 'south', 'southwest', and 'southeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm documentation for details.
[105300 values with dtype=float32]
- dyG(tile, j, i_g)float32...
- long_name :
- distance between 'southwest' and 'northwest' corners of the tracer grid cell
- units :
- m
- coordinate :
- YC XG
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'west' side of tracer grid cell. Note: 'west, 'southwest', and 'northwest' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm documentation for details.
[105300 values with dtype=float32]
- Depth(tile, j, i)float32...
- long_name :
- model seafloor depth below ocean surface at rest
- units :
- m
- coordinate :
- XC YC
- coverage_content_type :
- modelResult
- standard_name :
- sea_floor_depth_below_geoid
- comment :
- Model sea surface height (SSH) of 0m corresponds to an ocean surface at rest relative to the geoid. Depth corresponds to seafloor depth below geoid. Note: the MITgcm used by ECCO V4r4 implements 'partial cells' so the actual model seafloor depth may differ from the seafloor depth provided by the input bathymetry file.
[105300 values with dtype=float32]
- rAz(tile, j_g, i_g)float32...
- long_name :
- area of vorticity 'g' grid cell
- units :
- m2
- coordinate :
- YG XG
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Vorticity cells are staggered in space relative to tracer cells, nominally situated on tracer cell corners. Vorticity cell (i,j) is located at the 'southwest' corner of tracer grid cell (i, j). Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
[105300 values with dtype=float32]
- dxC(tile, j, i_g)float32...
- long_name :
- distance between centers of adjacent tracer grid cells in the 'x' direction
- units :
- m
- coordinate :
- YC XG
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'north' side of vorticity grid cells. Note: 'north' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
[105300 values with dtype=float32]
- dyC(tile, j_g, i)float32...
- long_name :
- distance between centers of adjacent tracer grid cells in the 'y' direction
- units :
- m
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'east' side of vorticity grid cells. Note: 'east' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
[105300 values with dtype=float32]
- rAw(tile, j, i_g)float32...
- long_name :
- area of 'v' grid cell
- units :
- m2
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Model 'v' grid cells are staggered in space between adjacent tracer grid cells in the 'x' direction. 'v' grid cell (i,j) is situated at the 'west' edge of tracer grid cell (i, j). Note: 'west' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
[105300 values with dtype=float32]
- rAs(tile, j_g, i)float32...
- long_name :
- area of 'u' grid cell
- units :
- m2
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Model 'u' grid cells are staggered in space between adjacent tracer grid cells in the 'y' direction. 'u' grid cell (i,j) is situated at the 'south' edge of tracer grid cell (i, j). Note: 'south' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
[105300 values with dtype=float32]
- drC(k_p1)float32...
- long_name :
- distance between the centers of adjacent tracer grid cells in the 'z' direction
- units :
- m
- coverage_content_type :
- modelResult
- comment :
- The first element corresponds to the distance between the depth of the center of the uppermost model grid cell and the surface.
array([ 5. , 10. , 10. , 10. , 10. , 10. , 10. , 10.005, 10.02 , 10.07 , 10.215, 10.56 , 11.28 , 12.59 , 14.73 , 17.93 , 22.335, 27.975, 34.76 , 42.46 , 50.75 , 59.25 , 67.54 , 75.24 , 82.025, 87.665, 92.07 , 95.27 , 97.415, 98.75 , 99.63 , 100.67 , 102.945, 107.945, 117.08 , 130.96 , 149.015, 169.885, 192.19 , 215.025, 238. , 261. , 284. , 307. , 330. , 353. , 376. , 399. , 422. , 445. , 228.25 ], dtype=float32)
- drF(k)float32...
- long_name :
- distance between the upper and lower interfaces of the model grid cell
- units :
- m
- coverage_content_type :
- modelResult
- standard_name :
- cell_thickness
- comment :
- Nominal grid cell thickness. Note: in the z* coordinate system used in ECCO V4, actual tracer grid cell thickness, h, varies through time as h(i,j,k,t)= drF(k) hfacC(i,j,k,t).
array([ 10. , 10. , 10. , 10. , 10. , 10. , 10. , 10.01, 10.03, 10.11, 10.32, 10.8 , 11.76, 13.42, 16.04, 19.82, 24.85, 31.1 , 38.42, 46.5 , 55. , 63.5 , 71.58, 78.9 , 85.15, 90.18, 93.96, 96.58, 98.25, 99.25, 100.01, 101.33, 104.56, 111.33, 122.83, 139.09, 158.94, 180.83, 203.55, 226.5 , 249.5 , 272.5 , 295.5 , 318.5 , 341.5 , 364.5 , 387.5 , 410.5 , 433.5 , 456.5 ], dtype=float32)
- PHrefC(k)float32...
- long_name :
- reference ocean hydrostatic pressure at tracer grid cell center
- units :
- m2 s-2
- coverage_content_type :
- modelResult
- comment :
- PHrefC = p_ref (k) / rhoConst = rhoConst g z(k) / rhoConst = g z(k), where p_ref(k) is reference hydrostatic ocean pressure at center of tracer grid cell k, rhoConst is reference density (1029 kg m-3), g is acceleration due to gravity (9.81 m s-2), and z(k) is depth at center of tracer grid cell k. Units: p:[kg m-1 s-2], rhoConst:[kg m-3], g:[m s-2], z_m(t):[m]. Note: does not include atmospheric pressure loading. Quantity referred to in some contexts as hydrostatic pressure potential. PHIHYDcR is anomaly of PHrefC.
array([4.905000e+01, 1.471500e+02, 2.452500e+02, 3.433500e+02, 4.414500e+02, 5.395500e+02, 6.376500e+02, 7.357991e+02, 8.340953e+02, 9.328820e+02, 1.033091e+03, 1.136685e+03, 1.247342e+03, 1.370849e+03, 1.515351e+03, 1.691244e+03, 1.910350e+03, 2.184785e+03, 2.525781e+03, 2.942313e+03, 3.440171e+03, 4.021413e+03, 4.683980e+03, 5.422085e+03, 6.226750e+03, 7.086744e+03, 7.989951e+03, 8.924550e+03, 9.880190e+03, 1.084893e+04, 1.182630e+04, 1.281387e+04, 1.382376e+04, 1.488270e+04, 1.603126e+04, 1.731597e+04, 1.877781e+04, 2.044438e+04, 2.232977e+04, 2.443916e+04, 2.677394e+04, 2.933435e+04, 3.212039e+04, 3.513206e+04, 3.836936e+04, 4.183229e+04, 4.552085e+04, 4.943504e+04, 5.357486e+04, 5.794031e+04], dtype=float32)
- PHrefF(k_p1)float32...
- long_name :
- reference ocean hydrostatic pressure at tracer grid cell top/bottom interface
- units :
- m2 s-2
- coverage_content_type :
- modelResult
- comment :
- PHrefF = p_ref (k_l) / rhoConst = rhoConst g z(k_l) / rhoConst = g z(k_l), where p_ref(k_l) is reference hydrostatic ocean pressure at lower interface of tracer grid cell k, rhoConst is reference density (1029 kg m-3), g is acceleration due to gravity (9.81 m s-2), and z(k) is depth at center of tracer grid cell k. Units: p:[kg m-1 s-2], rhoConst:[kg m-3], g:[m s-2], z_m(t):[m]. Note: does not include atmospheric pressure loading. Quantity referred to in some contexts as hydrostatic pressure potential. See PHrefC
array([ 0. , 98.1 , 196.2 , 294.3 , 392.4 , 490.5 , 588.6 , 686.7 , 784.8981, 883.2924, 982.4715, 1083.7107, 1189.6587, 1305.0243, 1436.6746, 1594.0269, 1788.461 , 2032.2396, 2337.3306, 2714.2307, 3170.3958, 3709.9458, 4332.881 , 5035.0806, 5809.09 , 6644.411 , 7529.0767, 8450.824 , 9398.274 , 10362.106 , 11335.749 , 12316.848 , 13310.895 , 14336.628 , 15428.775 , 16633.738 , 17998.21 , 19557.412 , 21331.355 , 23328.18 , 25550.145 , 27997.74 , 30670.965 , 33569.82 , 36694.305 , 40044.42 , 43620.164 , 47421.54 , 51448.547 , 55701.18 , 60179.445 ], dtype=float32)
- hFacC(k, tile, j, i)float32...
- long_name :
- vertical open fraction of tracer grid cell
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- Tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacC. The model allows for partially-filled cells to represent topographic variations more smoothly (hFacC < 1). Completely closed (dry) tracer grid cells have hFacC = 0. Note: the model z* coordinate system allows hFacC to vary through time. A time-invariant hFacC field is provided for reference.
[5265000 values with dtype=float32]
- hFacW(k, tile, j, i_g)float32...
- long_name :
- vertical open fraction of tracer grid cell 'west' face
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- The 'west' face of tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacW. The model allows for partially-filled cells for smoother representation of seafloor topography. Tracer grid cells adjacent in the 'x' direction that are partially closed in the vertical have hFacW < 1. The model z* coordinate system used by the model permits hFacC, and therefore hFacW, to vary through time. A time-invariant hFacW field is provided for reference. Note: The term 'west' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
[5265000 values with dtype=float32]
- hFacS(k, tile, j_g, i)float32...
- long_name :
- vertical open fraction of tracer grid cell 'south' face
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- The 'south' face of tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacS. The model allows for partially-filled cells for smoother representation of seafloor topography. Tracer grid cells adjacent in the 'y' direction that are partially closed in the vertical have hFacS < 1. The model z* coordinate system used by the model permits hFacC, and therefore hFacS, to vary through time. A time-invariant hFacS field is provided for reference. Note: The term 'south' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
[5265000 values with dtype=float32]
- maskC(k, tile, j, i)bool...
- long_name :
- wet/dry boolean mask for tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for tracer grid cells with nonzero open vertical fraction (hFacC > 0), otherwise False. Although hFacC can vary though time, cells will never close if starting open and will never open if starting closed: hFacC(i,j,k,t) > 0 for all t, if hFacC(i,j,k,t=0) and hFacC(i,j,k,t) = 0 for all t, if hFacC(i,j,k,t=0) = 0. Therefore, maskC is time invariant.
[5265000 values with dtype=bool]
- maskW(k, tile, j, i_g)bool...
- long_name :
- wet/dry boolean mask for 'west' face of tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for grid cells with nonzero open vertical fraction along their 'west' face (hFacW > 0), otherwise False. Although hFacW can vary though time, cells will never close if starting open and will never open if starting closed: hFacW(i,j,k,t) > 0 for all t, if hFacW(i,j,k,t=0) and hFacW(i,j,k,t) = 0 for all t, if hFacW(i,j,k,t=0) = 0. Therefore, maskW is time invariant. Note:
[5265000 values with dtype=bool]
- maskS(k, tile, j_g, i)bool...
- long_name :
- wet/dry boolean mask for 'south' face of tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for grid cells with nonzero open vertical fraction along their 'south' face (hFacS > 0), otherwise False. Although hFacS can vary though time, cells will never close if starting open and will never open if starting closed: hFacS(i,j,k,t) > 0 for all t, if hFacS(i,j,k,t=0) and hFacS(i,j,k,t) = 0 for all t, if hFacS(i,j,k,t=0) = 0. Therefore, maskS is time invariant. Note:
[5265000 values with dtype=bool]
- acknowledgement :
- This research was carried out by the Jet Propulsion Laboratory, managed by the California Institute of Technology under a contract with the National Aeronautics and Space Administration.
- author :
- Ian Fenty and Ou Wang
- cdm_data_type :
- Grid
- comment :
- Fields provided on the curvilinear lat-lon-cap 90 (llc90) native grid used in the ECCO model.
- Conventions :
- CF-1.8, ACDD-1.3
- coordinates_comment :
- Note: the global 'coordinates' attribute describes auxillary coordinates.
- creator_email :
- ecco-group@mit.edu
- creator_institution :
- NASA Jet Propulsion Laboratory (JPL)
- creator_name :
- ECCO Consortium
- creator_type :
- group
- creator_url :
- https://ecco-group.org
- date_created :
- 2021-03-16T22:56:35
- date_issued :
- 2021-03-16T22:56:35
- date_metadata_modified :
- 2021-03-16T22:56:35
- date_modified :
- 2021-03-16T22:56:35
- geospatial_bounds_crs :
- EPSG:4326
- geospatial_lat_max :
- 90.0
- geospatial_lat_min :
- -90.0
- geospatial_lat_resolution :
- variable
- geospatial_lat_units :
- degrees_north
- geospatial_lon_max :
- 180.0
- geospatial_lon_min :
- -180.0
- geospatial_lon_resolution :
- variable
- geospatial_lon_units :
- degrees_east
- geospatial_vertical_max :
- 0.0
- geospatial_vertical_min :
- -6134.5
- geospatial_vertical_positive :
- up
- geospatial_vertical_resolution :
- variable
- geospatial_vertical_units :
- meter
- history :
- Inaugural release of an ECCO Central Estimate solution to PO.DAAC
- id :
- 10.5067/ECL5A-GRD44
- institution :
- NASA Jet Propulsion Laboratory (JPL)
- instrument_vocabulary :
- GCMD instrument keywords
- keywords :
- EARTH SCIENCE SERVICES > MODELS > EARTH SCIENCE REANALYSES/ASSIMILATION MODELS
- keywords_vocabulary :
- NASA Global Change Master Directory (GCMD) Science Keywords
- license :
- Public Domain
- metadata_link :
- https://cmr.earthdata.nasa.gov/search/collections.umm_json?ShortName=ECCO_L4_GEOMETRY_LLC0090GRID_V4R4
- naming_authority :
- gov.nasa.jpl
- platform :
- ERS-1/2, TOPEX/Poseidon, Geosat Follow-On (GFO), ENVISAT, Jason-1, Jason-2, CryoSat-2, SARAL/AltiKa, Jason-3, AVHRR, Aquarius, SSM/I, SSMIS, GRACE, DTU17MDT, Argo, WOCE, GO-SHIP, MEOP, Ice Tethered Profilers (ITP)
- platform_vocabulary :
- GCMD platform keywords
- processing_level :
- L4
- product_name :
- GRID_GEOMETRY_ECCO_V4r4_native_llc0090.nc
- product_time_coverage_end :
- 2018-01-01T00:00:00
- product_time_coverage_start :
- 1992-01-01T12:00:00
- product_version :
- Version 4, Release 4
- program :
- NASA Physical Oceanography, Cryosphere, Modeling, Analysis, and Prediction (MAP)
- project :
- Estimating the Circulation and Climate of the Ocean (ECCO)
- publisher_email :
- podaac@podaac.jpl.nasa.gov
- publisher_institution :
- PO.DAAC
- publisher_name :
- Physical Oceanography Distributed Active Archive Center (PO.DAAC)
- publisher_type :
- institution
- publisher_url :
- https://podaac.jpl.nasa.gov
- references :
- ECCO Consortium, Fukumori, I., Wang, O., Fenty, I., Forget, G., Heimbach, P., & Ponte, R. M. 2020. Synopsis of the ECCO Central Production Global Ocean and Sea-Ice State Estimate (Version 4 Release 4). doi:10.5281/zenodo.3765928
- source :
- The ECCO V4r4 state estimate was produced by fitting a free-running solution of the MITgcm (checkpoint 66g) to satellite and in situ observational data in a least squares sense using the adjoint method
- standard_name_vocabulary :
- NetCDF Climate and Forecast (CF) Metadata Convention
- summary :
- This dataset provides geometric parameters for the lat-lon-cap 90 (llc90) native model grid from the ECCO Version 4 Release 4 (V4r4) ocean and sea-ice state estimate. Parameters include areas and lengths of grid cell sides, horizontal and vertical coordinates of grid cell centers and corners, grid rotation angles, and global domain geometry including bathymetry and land/ocean masks. Estimating the Circulation and Climate of the Ocean (ECCO) state estimates are dynamically and kinematically-consistent reconstructions of the three-dimensional, time-evolving ocean, sea-ice, and surface atmospheric states. ECCO V4r4 is a free-running solution of a global, nominally 1-degree configuration of the MIT general circulation model (MITgcm) that has been fit to observations in a least-squares sense. Observational data constraints used in V4r4 include sea surface height (SSH) from satellite altimeters [ERS-1/2, TOPEX/Poseidon, GFO, ENVISAT, Jason-1,2,3, CryoSat-2, and SARAL/AltiKa]; sea surface temperature (SST) from satellite radiometers [AVHRR], sea surface salinity (SSS) from the Aquarius satellite radiometer/scatterometer, ocean bottom pressure (OBP) from the GRACE satellite gravimeter; sea-ice concentration from satellite radiometers [SSM/I and SSMIS], and in-situ ocean temperature and salinity measured with conductivity-temperature-depth (CTD) sensors and expendable bathythermographs (XBTs) from several programs [e.g., WOCE, GO-SHIP, Argo, and others] and platforms [e.g., research vessels, gliders, moorings, ice-tethered profilers, and instrumented pinnipeds]. V4r4 covers the period 1992-01-01T12:00:00 to 2018-01-01T00:00:00.
- title :
- ECCO Geometry Parameters for the Lat-Lon-Cap 90 (llc90) Native Model Grid (Version 4 Release 4)
- uuid :
- 87ff7d24-86e5-11eb-9c5f-f8f21e2ee3e0
Plot grid parameters using plot_tiles function¶
Let’s plot two of the model grid parameter fields hFacC
(tracer cell thickness factor) and rA
(grid cell surface area)
First we plot hFac
:
[5]:
ecco.plot_tiles(grid.hFacC.isel(k=0), cmap='gray', show_colorbar=True,);

[6]:
ecco.plot_tiles(grid.rA, cmap='jet', show_colorbar=True);
plt.suptitle('Model grid cell surface area [m^2]')
plt.show()

Plot subset of global domain¶
Once the file has been “opened” using open_dataset
, we can use Dataset.isel
to subset the file if we don’t want to plot the full global domain.
[7]:
grid_subset = grid.isel(tile=[1,10,12],k=[0,1,2,3])
grid_subset
[7]:
<xarray.Dataset> Dimensions: (i: 90, i_g: 90, j: 90, j_g: 90, k: 4, k_u: 50, k_l: 50, k_p1: 51, tile: 3, nb: 4, nv: 2) Coordinates: (12/20) * i (i) int32 0 1 2 3 4 5 6 7 8 9 10 ... 80 81 82 83 84 85 86 87 88 89 * i_g (i_g) int32 0 1 2 3 4 5 6 7 8 9 ... 80 81 82 83 84 85 86 87 88 89 * j (j) int32 0 1 2 3 4 5 6 7 8 9 10 ... 80 81 82 83 84 85 86 87 88 89 * j_g (j_g) int32 0 1 2 3 4 5 6 7 8 9 ... 80 81 82 83 84 85 86 87 88 89 * k (k) int32 0 1 2 3 * k_u (k_u) int32 0 1 2 3 4 5 6 7 8 9 ... 40 41 42 43 44 45 46 47 48 49 ... ... Zp1 (k_p1) float32 0.0 -10.0 -20.0 ... -5.244e+03 -5.678e+03 -6.134e+03 Zu (k_u) float32 -10.0 -20.0 -30.0 ... -5.678e+03 -6.134e+03 Zl (k_l) float32 0.0 -10.0 -20.0 ... -4.834e+03 -5.244e+03 -5.678e+03 XC_bnds (tile, j, i, nb) float32 -38.0 -37.0 -37.0 ... -115.0 -115.0 -108.5 YC_bnds (tile, j, i, nb) float32 -57.01 -57.01 -56.47 ... -88.18 -88.16 Z_bnds (k, nv) float32 0.0 -10.0 -10.0 -20.0 -20.0 -30.0 -30.0 -40.0 Dimensions without coordinates: nb, nv Data variables: (12/21) CS (tile, j, i) float32 1.0 1.0 1.0 1.0 ... -0.9601 -0.9854 -0.9984 SN (tile, j, i) float32 -0.0 6.524e-15 -6.524e-15 ... -0.1705 -0.05718 rA (tile, j, i) float32 3.625e+09 3.625e+09 ... 3.685e+08 3.611e+08 dxG (tile, j_g, i) float32 6.054e+04 6.054e+04 ... 2.36e+04 2.314e+04 dyG (tile, j, i_g) float32 5.944e+04 5.944e+04 ... 1.56e+04 1.558e+04 Depth (tile, j, i) float32 3.284e+03 3.486e+03 3.486e+03 ... 0.0 0.0 0.0 ... ... hFacC (k, tile, j, i) float32 1.0 1.0 1.0 1.0 1.0 ... 0.0 0.0 0.0 0.0 0.0 hFacW (k, tile, j, i_g) float32 1.0 1.0 1.0 1.0 1.0 ... 0.0 0.0 0.0 0.0 hFacS (k, tile, j_g, i) float32 1.0 1.0 1.0 1.0 1.0 ... 0.0 0.0 0.0 0.0 maskC (k, tile, j, i) bool True True True True ... False False False maskW (k, tile, j, i_g) bool True True True True ... False False False maskS (k, tile, j_g, i) bool True True True True ... False False False Attributes: (12/58) acknowledgement: This research was carried out by the Jet... author: Ian Fenty and Ou Wang cdm_data_type: Grid comment: Fields provided on the curvilinear lat-l... Conventions: CF-1.8, ACDD-1.3 coordinates_comment: Note: the global 'coordinates' attribute... ... ... references: ECCO Consortium, Fukumori, I., Wang, O.,... source: The ECCO V4r4 state estimate was produce... standard_name_vocabulary: NetCDF Climate and Forecast (CF) Metadat... summary: This dataset provides geometric paramete... title: ECCO Geometry Parameters for the Lat-Lon... uuid: 87ff7d24-86e5-11eb-9c5f-f8f21e2ee3e0
- i: 90
- i_g: 90
- j: 90
- j_g: 90
- k: 4
- k_u: 50
- k_l: 50
- k_p1: 51
- tile: 3
- nb: 4
- nv: 2
- i(i)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- X
- long_name :
- grid index in x for variables at tracer and 'v' locations
- swap_dim :
- XC
- comment :
- In the Arakawa C-grid system, tracer (e.g., THETA) and 'v' variables (e.g., VVEL) have the same x coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- i_g(i_g)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- X
- long_name :
- grid index in x for variables at 'u' and 'g' locations
- c_grid_axis_shift :
- -0.5
- swap_dim :
- XG
- comment :
- In the Arakawa C-grid system, 'u' (e.g., UVEL) and 'g' variables (e.g., XG) have the same x coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- j(j)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- Y
- long_name :
- grid index in y for variables at tracer and 'u' locations
- swap_dim :
- YC
- comment :
- In the Arakawa C-grid system, tracer (e.g., THETA) and 'u' variables (e.g., UVEL) have the same y coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- j_g(j_g)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- Y
- long_name :
- grid index in y for variables at 'v' and 'g' locations
- c_grid_axis_shift :
- -0.5
- swap_dim :
- YG
- comment :
- In the Arakawa C-grid system, 'v' (e.g., VVEL) and 'g' variables (e.g., XG) have the same y coordinate.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- k(k)int320 1 2 3
- axis :
- Z
- long_name :
- grid index in z for tracer variables
- swap_dim :
- Z
- coverage_content_type :
- coordinate
array([0, 1, 2, 3])
- k_u(k_u)int320 1 2 3 4 5 6 ... 44 45 46 47 48 49
- axis :
- Z
- long_name :
- grid index in z corresponding to the bottom face of tracer grid cells ('w' locations)
- c_grid_axis_shift :
- 0.5
- swap_dim :
- Zu
- comment :
- First index corresponds to the bottom face of the uppermost tracer grid cell. The use of 'u' in the variable name follows the MITgcm convention for naming the bottom face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])
- k_l(k_l)int320 1 2 3 4 5 6 ... 44 45 46 47 48 49
- axis :
- Z
- long_name :
- grid index in z corresponding to the top face of tracer grid cells ('w' locations)
- c_grid_axis_shift :
- -0.5
- swap_dim :
- Zl
- comment :
- First index corresponds to the top face of the uppermost tracer grid cell. The use of 'l' in the variable name follows the MITgcm convention for naming the top face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])
- k_p1(k_p1)int320 1 2 3 4 5 6 ... 45 46 47 48 49 50
- axis :
- Z
- long_name :
- grid index in z for variables at 'w' locations
- c_grid_axis_shift :
- [-0.5 0.5]
- swap_dim :
- Zp1
- comment :
- Includes top of uppermost model tracer cell (k_p1=0) and bottom of lowermost tracer cell (k_p1=51).
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50])
- tile(tile)int321 10 12
- long_name :
- lat-lon-cap tile index
- comment :
- The ECCO V4 horizontal model grid is divided into 13 tiles of 90x90 cells for convenience.
- coverage_content_type :
- coordinate
array([ 1, 10, 12])
- XC(tile, j, i)float32...
- long_name :
- longitude of tracer grid cell center
- units :
- degrees_east
- coordinate :
- YC XC
- bounds :
- XC_bnds
- comment :
- nonuniform grid spacing
- coverage_content_type :
- coordinate
- standard_name :
- longitude
array([[[ -37.5 , -36.5 , ..., 50.5 , 51.5 ], [ -37.5 , -36.5 , ..., 50.5 , 51.5 ], ..., [ -37.5 , -36.5 , ..., 50.5 , 51.5 ], [ -37.5 , -36.5 , ..., 50.5 , 51.5 ]], [[-127.83792 , -127.77199 , ..., -127.5 , -127.5 ], [-127.44421 , -127.29195 , ..., -126.5 , -126.5 ], ..., [ -38.55579 , -38.708057, ..., -39.5 , -39.5 ], [ -38.162075, -38.228012, ..., -38.5 , -38.5 ]], [[-127.5 , -127.5 , ..., -115.50567 , -115.166985], [-126.5 , -126.5 , ..., -115.464066, -115.153244], ..., [ -39.5 , -39.5 , ..., -106.24874 , -112.090065], [ -38.5 , -38.5 , ..., -105.58465 , -111.86579 ]]], dtype=float32)
- YC(tile, j, i)float32...
- long_name :
- latitude of tracer grid cell center
- units :
- degrees_north
- coordinate :
- YC XC
- bounds :
- YC_bnds
- comment :
- nonuniform grid spacing
- coverage_content_type :
- coordinate
- standard_name :
- latitude
array([[[-56.73891 , -56.73891 , ..., -56.73891 , -56.73891 ], [-56.2021 , -56.2021 , ..., -56.2021 , -56.2021 ], ..., [ 8.516253, 8.516253, ..., 8.516253, 8.516253], [ 9.482398, 9.482398, ..., 9.482398, 9.482398]], [[ 67.47211 , 67.33552 , ..., 11.438585, 10.458642], [ 67.53387 , 67.37607 , ..., 11.438585, 10.458642], ..., [ 67.53387 , 67.37607 , ..., 11.438585, 10.458642], [ 67.47211 , 67.33552 , ..., 11.438585, 10.458642]], [[-57.271408, -57.79962 , ..., -80.3745 , -80.37896 ], [-57.271408, -57.79962 , ..., -80.317726, -80.32216 ], ..., [-57.271408, -57.79962 , ..., -87.94044 , -87.96276 ], [-57.271408, -57.79962 , ..., -88.07871 , -88.10267 ]]], dtype=float32)
- XG(tile, j_g, i_g)float32...
- long_name :
- longitude of 'southwest' corner of tracer grid cell
- units :
- degrees_east
- coordinate :
- YG XG
- comment :
- Nonuniform grid spacing. Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- standard_name :
- longitude
array([[[ -38. , -37. , ..., 50. , 51. ], [ -38. , -37. , ..., 50. , 51. ], ..., [ -38. , -37. , ..., 50. , 51. ], [ -38. , -37. , ..., 50. , 51. ]], [[-128. , -128. , ..., -128. , -128. ], [-127.73445 , -127.588936, ..., -127. , -127. ], ..., [ -38.675385, -38.881042, ..., -40. , -40. ], [ -38.265545, -38.411068, ..., -39. , -39. ]], [[-128. , -128. , ..., -115.70526 , -115.34945 ], [-127. , -127. , ..., -115.64933 , -115.32173 ], ..., [ -40. , -40. , ..., -103.74563 , -109.36924 ], [ -39. , -39. , ..., -102.928925, -108.95171 ]]], dtype=float32)
- YG(tile, j_g, i_g)float32...
- long_name :
- latitude of 'southwest' corner of tracer grid cell
- units :
- degrees_north
- comment :
- Nonuniform grid spacing. Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- standard_name :
- latitude
array([[[-57.005695, -57.005695, ..., -57.005695, -57.005695], [-56.471046, -56.471046, ..., -56.471046, -56.471046], ..., [ 8.039881, 8.039881, ..., 8.039881, 8.039881], [ 8.997536, 8.997536, ..., 8.997536, 8.997536]], [[ 67.5 , 67.40169 , ..., 11.928692, 10.948437], [ 67.560646, 67.42869 , ..., 11.928692, 10.948437], ..., [ 67.6532 , 67.49435 , ..., 11.928692, 10.948437], [ 67.560646, 67.42869 , ..., 11.928692, 10.948437]], [[-57.005695, -57.53605 , ..., -80.400444, -80.40726 ], [-57.005695, -57.53605 , ..., -80.34161 , -80.34837 ], ..., [-57.005695, -57.53605 , ..., -87.85214 , -87.884766], [-57.005695, -57.53605 , ..., -87.9892 , -88.02409 ]]], dtype=float32)
- Z(k)float32-5.0 -15.0 -25.0 -35.0
- long_name :
- depth of tracer grid cell center
- units :
- m
- positive :
- up
- bounds :
- Z_bnds
- comment :
- Non-uniform vertical spacing.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ -5., -15., -25., -35.], dtype=float32)
- Zp1(k_p1)float320.0 -10.0 ... -5.678e+03 -6.134e+03
- long_name :
- depth of top/bottom face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- Contains one element more than the number of vertical layers. First element is 0m, the depth of the top face of the uppermost grid cell. Last element is the depth of the bottom face of the deepest grid cell.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ 0. , -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. , -6134.5 ], dtype=float32)
- Zu(k_u)float32-10.0 -20.0 ... -6.134e+03
- long_name :
- depth of bottom face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- First element is -10m, the depth of the bottom face of the uppermost tracer grid cell. Last element is the depth of the bottom face of the deepest grid cell. The use of 'u' in the variable name follows the MITgcm convention for naming the bottom face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. , -6134.5 ], dtype=float32)
- Zl(k_l)float320.0 -10.0 ... -5.244e+03 -5.678e+03
- long_name :
- depth of top face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- First element is 0m, the depth of the top face of the uppermost tracer grid cell (i.e., the ocean surface). Last element is the depth of the top face of the deepest grid cell. The use of 'l' in the variable name follows the MITgcm convention for naming the top face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ 0. , -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. ], dtype=float32)
- XC_bnds(tile, j, i, nb)float32...
- comment :
- Bounds array follows CF conventions. XC_bnds[i,j,0] = 'southwest' corner (j-1, i-1), XC_bnds[i,j,1] = 'southeast' corner (j-1, i+1), XC_bnds[i,j,2] = 'northeast' corner (j+1, i+1), XC_bnds[i,j,3] = 'northwest' corner (j+1, i-1). Note: 'southwest', 'southeast', northwest', and 'northeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- long_name :
- longitudes of tracer grid cell corners
array([[[[ -38. , ..., -38. ], ..., [ 51. , ..., 51. ]], ..., [[ -38. , ..., -38. ], ..., [ 51. , ..., 51. ]]], ..., [[[-128. , ..., -127. ], ..., [-115.34945, ..., -115.32173]], ..., [[ -39. , ..., -38. ], ..., [-108.95171, ..., -108.47213]]]], dtype=float32)
- YC_bnds(tile, j, i, nb)float32...
- comment :
- Bounds array follows CF conventions. YC_bnds[i,j,0] = 'southwest' corner (j-1, i-1), YC_bnds[i,j,1] = 'southeast' corner (j-1, i+1), YC_bnds[i,j,2] = 'northeast' corner (j+1, i+1), YC_bnds[i,j,3] = 'northwest' corner (j+1, i-1). Note: 'southwest', 'southeast', northwest', and 'northeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- long_name :
- latitudes of tracer grid cell corners
array([[[[-57.005695, ..., -56.471046], ..., [-57.005695, ..., -56.471046]], ..., [[ 8.997536, ..., 9.96973 ], ..., [ 8.997536, ..., 9.96973 ]]], ..., [[[-57.005695, ..., -57.005695], ..., [-80.40726 , ..., -80.34837 ]], ..., [[-57.005695, ..., -57.005695], ..., [-88.02409 , ..., -88.16335 ]]]], dtype=float32)
- Z_bnds(k, nv)float320.0 -10.0 -10.0 ... -30.0 -40.0
- comment :
- One pair of depths for each vertical level.
- coverage_content_type :
- coordinate
- long_name :
- depths of top and bottom faces of tracer grid cell
array([[ 0., -10.], [-10., -20.], [-20., -30.], [-30., -40.]], dtype=float32)
- CS(tile, j, i)float32...
- long_name :
- cosine of tracer grid cell orientation vs geographical north
- units :
- 1
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- comment :
- CS and SN are required to calculate the geographic (meridional, zonal) components of vectors on the curvilinear model grid. Note: for vector R with components R_x and R_y: R_{east} = CS R_x - SN R_y. R_{north} = SN R_x + CS R_y
array([[[ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00], [ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00], ..., [ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00], [ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00]], [[ 3.344208e-01, 1.301878e-01, ..., -9.046443e-16, -1.806440e-15], [ 4.250556e-01, 2.863229e-01, ..., -3.137114e-18, 9.046443e-16], ..., [-4.250556e-01, -2.863229e-01, ..., 3.137114e-18, -9.046443e-16], [-3.344208e-01, -1.301878e-01, ..., 9.046443e-16, 1.806440e-15]], [[-0.000000e+00, 1.343171e-14, ..., 9.929879e-01, 9.992237e-01], [ 6.524060e-15, -1.343171e-14, ..., 9.918978e-01, 9.991017e-01], ..., [-6.524060e-15, 1.343171e-14, ..., -9.872005e-01, -9.985729e-01], [-0.000000e+00, -1.343171e-14, ..., -9.853618e-01, -9.983638e-01]]], dtype=float32)
- SN(tile, j, i)float32...
- long_name :
- sine of tracer grid cell orientation vs geographical north
- units :
- 1
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- comment :
- CS and SN are required to calculate the geographic (meridional, zonal) components of vectors on the curvilinear model grid. Note: for vector R with components R_x and R_y in local grid directions x and y, the geographical eastward component R_{east} = CS R_x - SN R_y. The geographical northward component R_{north} = SN R_x + CS R_y.
array([[[-0.000000e+00, 6.524060e-15, ..., -6.524060e-15, -0.000000e+00], [-0.000000e+00, -0.000000e+00, ..., -0.000000e+00, -0.000000e+00], ..., [ 8.992435e-16, -1.796239e-15, ..., 1.796239e-15, -8.992435e-16], [-2.552571e-18, -8.992435e-16, ..., 8.992435e-16, 2.552571e-18]], [[-9.424238e-01, -9.914894e-01, ..., -1.000000e+00, -1.000000e+00], [-9.051672e-01, -9.581332e-01, ..., -1.000000e+00, -1.000000e+00], ..., [-9.051672e-01, -9.581332e-01, ..., -1.000000e+00, -1.000000e+00], [-9.424238e-01, -9.914894e-01, ..., -1.000000e+00, -1.000000e+00]], [[-1.000000e+00, -1.000000e+00, ..., -1.182161e-01, -3.939564e-02], [-1.000000e+00, -1.000000e+00, ..., -1.270383e-01, -4.237737e-02], ..., [-1.000000e+00, -1.000000e+00, ..., -1.594841e-01, -5.340466e-02], [-1.000000e+00, -1.000000e+00, ..., -1.704766e-01, -5.718203e-02]]], dtype=float32)
- rA(tile, j, i)float323.625e+09 3.625e+09 ... 3.611e+08
- long_name :
- area of tracer grid cell
- units :
- m2
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
array([[[3.624512e+09, 3.624512e+09, ..., 3.624512e+09, 3.624512e+09], [3.707821e+09, 3.707821e+09, ..., 3.707821e+09, 3.707821e+09], ..., [1.170630e+10, 1.170630e+10, ..., 1.170630e+10, 1.170630e+10], [1.185236e+10, 1.185236e+10, ..., 1.185236e+10, 1.185236e+10]], [[2.126339e+08, 3.510164e+08, ..., 1.187557e+10, 1.189609e+10], [3.709757e+08, 4.430613e+08, ..., 1.187557e+10, 1.189609e+10], ..., [3.709757e+08, 4.430613e+08, ..., 1.187557e+10, 1.189609e+10], [2.126339e+08, 3.510164e+08, ..., 1.187557e+10, 1.189609e+10]], [[3.544267e+09, 3.463198e+09, ..., 4.219393e+07, 4.092850e+07], [3.544267e+09, 3.463198e+09, ..., 3.624433e+07, 3.508904e+07], ..., [3.544267e+09, 3.463198e+09, ..., 3.671963e+08, 3.598875e+08], [3.544267e+09, 3.463198e+09, ..., 3.684513e+08, 3.611191e+08]]], dtype=float32)
- dxG(tile, j_g, i)float32...
- long_name :
- distance between 'southwest' and 'southeast' corners of the tracer grid cell
- units :
- m
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'south' side of tracer grid cell. Note: 'south', 'southwest', and 'southeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 60542.324 , 60542.324 , ..., 60542.324 , 60542.324 ], [ 61409.805 , 61409.805 , ..., 61409.805 , 61409.805 ], ..., [110084.7 , 110084.7 , ..., 110084.7 , 110084.7 ], [109809.445 , 109809.445 , ..., 109809.445 , 109809.445 ]], [[ 10930.409 , 16981.354 , ..., 108982.29 , 108810.11 ], [ 15965.378 , 18448.256 , ..., 108982.29 , 108810.11 ], ..., [ 19713.574 , 20970.678 , ..., 108982.29 , 108810.11 ], [ 15965.378 , 18448.256 , ..., 108982.29 , 108810.11 ]], [[ 58963.117 , 58455.164 , ..., 6639.343 , 6479.438 ], [ 58963.117 , 58455.164 , ..., 6156.099 , 6002.6626], ..., [ 58963.117 , 58455.164 , ..., 23525.693 , 23068.766 ], [ 58963.117 , 58455.164 , ..., 23600.436 , 23142.107 ]]], dtype=float32)
- dyG(tile, j, i_g)float32...
- long_name :
- distance between 'southwest' and 'northwest' corners of the tracer grid cell
- units :
- m
- coordinate :
- YC XG
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'west' side of tracer grid cell. Note: 'west, 'southwest', and 'northwest' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 59441.125 , 59441.125 , ..., 59441.125 , 59441.125 ], [ 59953.41 , 59953.41 , ..., 59953.41 , 59953.41 ], ..., [106469.66 , 106469.66 , ..., 106469.66 , 106469.66 ], [108086.08 , 108086.08 , ..., 108086.08 , 108086.08 ]], [[ 13144.49 , 17873.049 , ..., 108776.664 , 109153.875 ], [ 20178.707 , 21326.564 , ..., 108776.664 , 109153.875 ], ..., [ 20178.707 , 21326.564 , ..., 108776.664 , 109153.875 ], [ 13144.49 , 17873.049 , ..., 108776.664 , 109153.875 ]], [[ 60542.324 , 59676.61 , ..., 6623.084 , 6566.8154], [ 60542.324 , 59676.61 , ..., 6160.646 , 6099.426 ], ..., [ 60542.324 , 59676.61 , ..., 15589.719 , 15578.099 ], [ 60542.324 , 59676.61 , ..., 15595.26 , 15583.685 ]]], dtype=float32)
- Depth(tile, j, i)float32...
- long_name :
- model seafloor depth below ocean surface at rest
- units :
- m
- coordinate :
- XC YC
- coverage_content_type :
- modelResult
- standard_name :
- sea_floor_depth_below_geoid
- comment :
- Model sea surface height (SSH) of 0m corresponds to an ocean surface at rest relative to the geoid. Depth corresponds to seafloor depth below geoid. Note: the MITgcm used by ECCO V4r4 implements 'partial cells' so the actual model seafloor depth may differ from the seafloor depth provided by the input bathymetry file.
array([[[3284.1084 , 3485.7 , ..., 5444.462 , 5387.942 ], [3350.4321 , 3403.6208 , ..., 5379.0474 , 5359.3574 ], ..., [3931.512 , 4203.5933 , ..., 645.98663, 4068.4116 ], [4220.781 , 4446.5 , ..., 0. , 1310.237 ]], [[ 0. , 0. , ..., 4795.424 , 4704.2793 ], [ 0. , 0. , ..., 4747.4746 , 4680.251 ], ..., [ 0. , 0. , ..., 4699.697 , 4650. ], [ 0. , 0. , ..., 4824.544 , 4407.9893 ]], [[3920.2725 , 3809.5889 , ..., 0. , 0. ], [3984.9038 , 3906.704 , ..., 0. , 0. ], ..., [2949.6958 , 3126.5 , ..., 0. , 0. ], [3076.3447 , 3119.1152 , ..., 0. , 0. ]]], dtype=float32)
- rAz(tile, j_g, i_g)float32...
- long_name :
- area of vorticity 'g' grid cell
- units :
- m2
- coordinate :
- YG XG
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Vorticity cells are staggered in space relative to tracer cells, nominally situated on tracer cell corners. Vorticity cell (i,j) is located at the 'southwest' corner of tracer grid cell (i, j). Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[3.584245e+09, 3.584245e+09, ..., 3.584245e+09, 3.584245e+09], [3.665067e+09, 3.665067e+09, ..., 3.665067e+09, 3.665067e+09], ..., [1.158138e+10, 1.158138e+10, ..., 1.158138e+10, 1.158138e+10], [1.179482e+10, 1.179482e+10, ..., 1.179482e+10, 1.179482e+10]], [[1.041340e+08, 2.567802e+08, ..., 1.185007e+10, 1.189190e+10], [2.896392e+08, 3.352925e+08, ..., 1.185007e+10, 1.189190e+10], ..., [4.549490e+08, 4.675251e+08, ..., 1.185007e+10, 1.189190e+10], [2.896392e+08, 3.352925e+08, ..., 1.185007e+10, 1.189190e+10]], [[3.584245e+09, 3.504577e+09, ..., 4.614146e+07, 4.457433e+07], [3.584245e+09, 3.504577e+09, ..., 3.996748e+07, 3.851063e+07], ..., [3.584245e+09, 3.504577e+09, ..., 3.702565e+08, 3.628590e+08], [3.584245e+09, 3.504577e+09, ..., 3.715720e+08, 3.641506e+08]]], dtype=float32)
- dxC(tile, j, i_g)float32...
- long_name :
- distance between centers of adjacent tracer grid cells in the 'x' direction
- units :
- m
- coordinate :
- YC XG
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'north' side of vorticity grid cells. Note: 'north' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 60975.85 , 60975.85 , ..., 60975.85 , 60975.85 ], [ 61844.16 , 61844.16 , ..., 61844.16 , 61844.16 ], ..., [109951.62 , 109951.62 , ..., 109951.62 , 109951.62 ], [109658.375 , 109658.375 , ..., 109658.375 , 109658.375 ]], [[ 13362.789 , 15461.596 , ..., 108940.72 , 108947.625 ], [ 18557.398 , 18723.23 , ..., 108940.72 , 108947.625 ], ..., [ 18557.398 , 18723.23 , ..., 108940.72 , 108947.625 ], [ 13362.789 , 15461.596 , ..., 108940.72 , 108947.625 ]], [[ 59201.66 , 58725.49 , ..., 6489.9375, 6315.64 ], [ 59201.66 , 58725.49 , ..., 6002.6147, 5832.9194], ..., [ 59201.66 , 58725.49 , ..., 23792.676 , 23334.83 ], [ 59201.66 , 58725.49 , ..., 23865.428 , 23406.256 ]]], dtype=float32)
- dyC(tile, j_g, i)float32...
- long_name :
- distance between centers of adjacent tracer grid cells in the 'y' direction
- units :
- m
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'east' side of vorticity grid cells. Note: 'east' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 59201.66 , 59201.66 , ..., 59201.66 , 59201.66 ], [ 59681.477 , 59681.477 , ..., 59681.477 , 59681.477 ], ..., [105206.3 , 105206.3 , ..., 105206.3 , 105206.3 ], [107413.53 , 107413.53 , ..., 107413.53 , 107413.53 ]], [[ 14067.07 , 19590.729 , ..., 108969.25 , 109330.39 ], [ 18116.71 , 21062.102 , ..., 108969.25 , 109330.39 ], ..., [ 22498.332 , 23828.547 , ..., 108969.25 , 109330.39 ], [ 18116.71 , 21062.102 , ..., 108969.25 , 109330.39 ]], [[ 60109.234 , 59244.46 , ..., 6818.0396, 6782.365 ], [ 60109.234 , 59244.46 , ..., 6359.012 , 6320.301 ], ..., [ 60109.234 , 59244.46 , ..., 15579.867 , 15572.209 ], [ 60109.234 , 59244.46 , ..., 15585.765 , 15578.138 ]]], dtype=float32)
- rAw(tile, j, i_g)float32...
- long_name :
- area of 'v' grid cell
- units :
- m2
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Model 'v' grid cells are staggered in space between adjacent tracer grid cells in the 'x' direction. 'v' grid cell (i,j) is situated at the 'west' edge of tracer grid cell (i, j). Note: 'west' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[3.624512e+09, 3.624512e+09, ..., 3.624512e+09, 3.624512e+09], [3.707821e+09, 3.707821e+09, ..., 3.707821e+09, 3.707821e+09], ..., [1.170630e+10, 1.170630e+10, ..., 1.170630e+10, 1.170630e+10], [1.185236e+10, 1.185236e+10, ..., 1.185236e+10, 1.185236e+10]], [[1.930606e+08, 2.800269e+08, ..., 1.185007e+10, 1.189190e+10], [3.766032e+08, 4.009158e+08, ..., 1.185007e+10, 1.189190e+10], ..., [3.766032e+08, 4.009158e+08, ..., 1.185007e+10, 1.189190e+10], [1.930606e+08, 2.800269e+08, ..., 1.185007e+10, 1.189190e+10]], [[3.584245e+09, 3.504577e+09, ..., 4.301258e+07, 4.150135e+07], [3.584245e+09, 3.504577e+09, ..., 3.701013e+07, 3.560611e+07], ..., [3.584245e+09, 3.504577e+09, ..., 3.709266e+08, 3.635169e+08], [3.584245e+09, 3.504577e+09, ..., 3.721930e+08, 3.647604e+08]]], dtype=float32)
- rAs(tile, j_g, i)float32...
- long_name :
- area of 'u' grid cell
- units :
- m2
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Model 'u' grid cells are staggered in space between adjacent tracer grid cells in the 'y' direction. 'u' grid cell (i,j) is situated at the 'south' edge of tracer grid cell (i, j). Note: 'south' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[3.584245e+09, 3.584245e+09, ..., 3.584245e+09, 3.584245e+09], [3.665067e+09, 3.665067e+09, ..., 3.665067e+09, 3.665067e+09], ..., [1.158138e+10, 1.158138e+10, ..., 1.158138e+10, 1.158138e+10], [1.179482e+10, 1.179482e+10, ..., 1.179482e+10, 1.179482e+10]], [[1.736957e+08, 3.358812e+08, ..., 1.187557e+10, 1.189609e+10], [2.921858e+08, 3.904717e+08, ..., 1.187557e+10, 1.189609e+10], ..., [4.447714e+08, 5.007964e+08, ..., 1.187557e+10, 1.189609e+10], [2.921858e+08, 3.904717e+08, ..., 1.187557e+10, 1.189609e+10]], [[3.544267e+09, 3.463198e+09, ..., 4.529525e+07, 4.397241e+07], [3.544267e+09, 3.463198e+09, ..., 3.917564e+07, 3.796608e+07], ..., [3.544267e+09, 3.463198e+09, ..., 3.665322e+08, 3.592359e+08], [3.544267e+09, 3.463198e+09, ..., 3.678359e+08, 3.605152e+08]]], dtype=float32)
- drC(k_p1)float325.0 10.0 10.0 ... 422.0 445.0 228.2
- long_name :
- distance between the centers of adjacent tracer grid cells in the 'z' direction
- units :
- m
- coverage_content_type :
- modelResult
- comment :
- The first element corresponds to the distance between the depth of the center of the uppermost model grid cell and the surface.
array([ 5. , 10. , 10. , 10. , 10. , 10. , 10. , 10.005, 10.02 , 10.07 , 10.215, 10.56 , 11.28 , 12.59 , 14.73 , 17.93 , 22.335, 27.975, 34.76 , 42.46 , 50.75 , 59.25 , 67.54 , 75.24 , 82.025, 87.665, 92.07 , 95.27 , 97.415, 98.75 , 99.63 , 100.67 , 102.945, 107.945, 117.08 , 130.96 , 149.015, 169.885, 192.19 , 215.025, 238. , 261. , 284. , 307. , 330. , 353. , 376. , 399. , 422. , 445. , 228.25 ], dtype=float32)
- drF(k)float3210.0 10.0 10.0 10.0
- long_name :
- distance between the upper and lower interfaces of the model grid cell
- units :
- m
- coverage_content_type :
- modelResult
- standard_name :
- cell_thickness
- comment :
- Nominal grid cell thickness. Note: in the z* coordinate system used in ECCO V4, actual tracer grid cell thickness, h, varies through time as h(i,j,k,t)= drF(k) hfacC(i,j,k,t).
array([10., 10., 10., 10.], dtype=float32)
- PHrefC(k)float3249.05 147.1 245.2 343.4
- long_name :
- reference ocean hydrostatic pressure at tracer grid cell center
- units :
- m2 s-2
- coverage_content_type :
- modelResult
- comment :
- PHrefC = p_ref (k) / rhoConst = rhoConst g z(k) / rhoConst = g z(k), where p_ref(k) is reference hydrostatic ocean pressure at center of tracer grid cell k, rhoConst is reference density (1029 kg m-3), g is acceleration due to gravity (9.81 m s-2), and z(k) is depth at center of tracer grid cell k. Units: p:[kg m-1 s-2], rhoConst:[kg m-3], g:[m s-2], z_m(t):[m]. Note: does not include atmospheric pressure loading. Quantity referred to in some contexts as hydrostatic pressure potential. PHIHYDcR is anomaly of PHrefC.
array([ 49.05, 147.15, 245.25, 343.35], dtype=float32)
- PHrefF(k_p1)float320.0 98.1 ... 5.57e+04 6.018e+04
- long_name :
- reference ocean hydrostatic pressure at tracer grid cell top/bottom interface
- units :
- m2 s-2
- coverage_content_type :
- modelResult
- comment :
- PHrefF = p_ref (k_l) / rhoConst = rhoConst g z(k_l) / rhoConst = g z(k_l), where p_ref(k_l) is reference hydrostatic ocean pressure at lower interface of tracer grid cell k, rhoConst is reference density (1029 kg m-3), g is acceleration due to gravity (9.81 m s-2), and z(k) is depth at center of tracer grid cell k. Units: p:[kg m-1 s-2], rhoConst:[kg m-3], g:[m s-2], z_m(t):[m]. Note: does not include atmospheric pressure loading. Quantity referred to in some contexts as hydrostatic pressure potential. See PHrefC
array([ 0. , 98.1 , 196.2 , 294.3 , 392.4 , 490.5 , 588.6 , 686.7 , 784.8981, 883.2924, 982.4715, 1083.7107, 1189.6587, 1305.0243, 1436.6746, 1594.0269, 1788.461 , 2032.2396, 2337.3306, 2714.2307, 3170.3958, 3709.9458, 4332.881 , 5035.0806, 5809.09 , 6644.411 , 7529.0767, 8450.824 , 9398.274 , 10362.106 , 11335.749 , 12316.848 , 13310.895 , 14336.628 , 15428.775 , 16633.738 , 17998.21 , 19557.412 , 21331.355 , 23328.18 , 25550.145 , 27997.74 , 30670.965 , 33569.82 , 36694.305 , 40044.42 , 43620.164 , 47421.54 , 51448.547 , 55701.18 , 60179.445 ], dtype=float32)
- hFacC(k, tile, j, i)float32...
- long_name :
- vertical open fraction of tracer grid cell
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- Tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacC. The model allows for partially-filled cells to represent topographic variations more smoothly (hFacC < 1). Completely closed (dry) tracer grid cells have hFacC = 0. Note: the model z* coordinate system allows hFacC to vary through time. A time-invariant hFacC field is provided for reference.
array([[[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]], ..., [[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]]], dtype=float32)
- hFacW(k, tile, j, i_g)float32...
- long_name :
- vertical open fraction of tracer grid cell 'west' face
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- The 'west' face of tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacW. The model allows for partially-filled cells for smoother representation of seafloor topography. Tracer grid cells adjacent in the 'x' direction that are partially closed in the vertical have hFacW < 1. The model z* coordinate system used by the model permits hFacC, and therefore hFacW, to vary through time. A time-invariant hFacW field is provided for reference. Note: The term 'west' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[[1., ..., 1.], ..., [1., ..., 0.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]], ..., [[[1., ..., 1.], ..., [1., ..., 0.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]]], dtype=float32)
- hFacS(k, tile, j_g, i)float32...
- long_name :
- vertical open fraction of tracer grid cell 'south' face
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- The 'south' face of tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacS. The model allows for partially-filled cells for smoother representation of seafloor topography. Tracer grid cells adjacent in the 'y' direction that are partially closed in the vertical have hFacS < 1. The model z* coordinate system used by the model permits hFacC, and therefore hFacS, to vary through time. A time-invariant hFacS field is provided for reference. Note: The term 'south' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]], ..., [[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]]], dtype=float32)
- maskC(k, tile, j, i)bool...
- long_name :
- wet/dry boolean mask for tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for tracer grid cells with nonzero open vertical fraction (hFacC > 0), otherwise False. Although hFacC can vary though time, cells will never close if starting open and will never open if starting closed: hFacC(i,j,k,t) > 0 for all t, if hFacC(i,j,k,t=0) and hFacC(i,j,k,t) = 0 for all t, if hFacC(i,j,k,t=0) = 0. Therefore, maskC is time invariant.
array([[[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]], ..., [[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]]])
- maskW(k, tile, j, i_g)bool...
- long_name :
- wet/dry boolean mask for 'west' face of tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for grid cells with nonzero open vertical fraction along their 'west' face (hFacW > 0), otherwise False. Although hFacW can vary though time, cells will never close if starting open and will never open if starting closed: hFacW(i,j,k,t) > 0 for all t, if hFacW(i,j,k,t=0) and hFacW(i,j,k,t) = 0 for all t, if hFacW(i,j,k,t=0) = 0. Therefore, maskW is time invariant. Note:
array([[[[ True, ..., True], ..., [ True, ..., False]], ..., [[ True, ..., False], ..., [ True, ..., False]]], ..., [[[ True, ..., True], ..., [ True, ..., False]], ..., [[ True, ..., False], ..., [ True, ..., False]]]])
- maskS(k, tile, j_g, i)bool...
- long_name :
- wet/dry boolean mask for 'south' face of tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for grid cells with nonzero open vertical fraction along their 'south' face (hFacS > 0), otherwise False. Although hFacS can vary though time, cells will never close if starting open and will never open if starting closed: hFacS(i,j,k,t) > 0 for all t, if hFacS(i,j,k,t=0) and hFacS(i,j,k,t) = 0 for all t, if hFacS(i,j,k,t=0) = 0. Therefore, maskS is time invariant. Note:
array([[[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]], ..., [[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]]])
- acknowledgement :
- This research was carried out by the Jet Propulsion Laboratory, managed by the California Institute of Technology under a contract with the National Aeronautics and Space Administration.
- author :
- Ian Fenty and Ou Wang
- cdm_data_type :
- Grid
- comment :
- Fields provided on the curvilinear lat-lon-cap 90 (llc90) native grid used in the ECCO model.
- Conventions :
- CF-1.8, ACDD-1.3
- coordinates_comment :
- Note: the global 'coordinates' attribute describes auxillary coordinates.
- creator_email :
- ecco-group@mit.edu
- creator_institution :
- NASA Jet Propulsion Laboratory (JPL)
- creator_name :
- ECCO Consortium
- creator_type :
- group
- creator_url :
- https://ecco-group.org
- date_created :
- 2021-03-16T22:56:35
- date_issued :
- 2021-03-16T22:56:35
- date_metadata_modified :
- 2021-03-16T22:56:35
- date_modified :
- 2021-03-16T22:56:35
- geospatial_bounds_crs :
- EPSG:4326
- geospatial_lat_max :
- 90.0
- geospatial_lat_min :
- -90.0
- geospatial_lat_resolution :
- variable
- geospatial_lat_units :
- degrees_north
- geospatial_lon_max :
- 180.0
- geospatial_lon_min :
- -180.0
- geospatial_lon_resolution :
- variable
- geospatial_lon_units :
- degrees_east
- geospatial_vertical_max :
- 0.0
- geospatial_vertical_min :
- -6134.5
- geospatial_vertical_positive :
- up
- geospatial_vertical_resolution :
- variable
- geospatial_vertical_units :
- meter
- history :
- Inaugural release of an ECCO Central Estimate solution to PO.DAAC
- id :
- 10.5067/ECL5A-GRD44
- institution :
- NASA Jet Propulsion Laboratory (JPL)
- instrument_vocabulary :
- GCMD instrument keywords
- keywords :
- EARTH SCIENCE SERVICES > MODELS > EARTH SCIENCE REANALYSES/ASSIMILATION MODELS
- keywords_vocabulary :
- NASA Global Change Master Directory (GCMD) Science Keywords
- license :
- Public Domain
- metadata_link :
- https://cmr.earthdata.nasa.gov/search/collections.umm_json?ShortName=ECCO_L4_GEOMETRY_LLC0090GRID_V4R4
- naming_authority :
- gov.nasa.jpl
- platform :
- ERS-1/2, TOPEX/Poseidon, Geosat Follow-On (GFO), ENVISAT, Jason-1, Jason-2, CryoSat-2, SARAL/AltiKa, Jason-3, AVHRR, Aquarius, SSM/I, SSMIS, GRACE, DTU17MDT, Argo, WOCE, GO-SHIP, MEOP, Ice Tethered Profilers (ITP)
- platform_vocabulary :
- GCMD platform keywords
- processing_level :
- L4
- product_name :
- GRID_GEOMETRY_ECCO_V4r4_native_llc0090.nc
- product_time_coverage_end :
- 2018-01-01T00:00:00
- product_time_coverage_start :
- 1992-01-01T12:00:00
- product_version :
- Version 4, Release 4
- program :
- NASA Physical Oceanography, Cryosphere, Modeling, Analysis, and Prediction (MAP)
- project :
- Estimating the Circulation and Climate of the Ocean (ECCO)
- publisher_email :
- podaac@podaac.jpl.nasa.gov
- publisher_institution :
- PO.DAAC
- publisher_name :
- Physical Oceanography Distributed Active Archive Center (PO.DAAC)
- publisher_type :
- institution
- publisher_url :
- https://podaac.jpl.nasa.gov
- references :
- ECCO Consortium, Fukumori, I., Wang, O., Fenty, I., Forget, G., Heimbach, P., & Ponte, R. M. 2020. Synopsis of the ECCO Central Production Global Ocean and Sea-Ice State Estimate (Version 4 Release 4). doi:10.5281/zenodo.3765928
- source :
- The ECCO V4r4 state estimate was produced by fitting a free-running solution of the MITgcm (checkpoint 66g) to satellite and in situ observational data in a least squares sense using the adjoint method
- standard_name_vocabulary :
- NetCDF Climate and Forecast (CF) Metadata Convention
- summary :
- This dataset provides geometric parameters for the lat-lon-cap 90 (llc90) native model grid from the ECCO Version 4 Release 4 (V4r4) ocean and sea-ice state estimate. Parameters include areas and lengths of grid cell sides, horizontal and vertical coordinates of grid cell centers and corners, grid rotation angles, and global domain geometry including bathymetry and land/ocean masks. Estimating the Circulation and Climate of the Ocean (ECCO) state estimates are dynamically and kinematically-consistent reconstructions of the three-dimensional, time-evolving ocean, sea-ice, and surface atmospheric states. ECCO V4r4 is a free-running solution of a global, nominally 1-degree configuration of the MIT general circulation model (MITgcm) that has been fit to observations in a least-squares sense. Observational data constraints used in V4r4 include sea surface height (SSH) from satellite altimeters [ERS-1/2, TOPEX/Poseidon, GFO, ENVISAT, Jason-1,2,3, CryoSat-2, and SARAL/AltiKa]; sea surface temperature (SST) from satellite radiometers [AVHRR], sea surface salinity (SSS) from the Aquarius satellite radiometer/scatterometer, ocean bottom pressure (OBP) from the GRACE satellite gravimeter; sea-ice concentration from satellite radiometers [SSM/I and SSMIS], and in-situ ocean temperature and salinity measured with conductivity-temperature-depth (CTD) sensors and expendable bathythermographs (XBTs) from several programs [e.g., WOCE, GO-SHIP, Argo, and others] and platforms [e.g., research vessels, gliders, moorings, ice-tethered profilers, and instrumented pinnipeds]. V4r4 covers the period 1992-01-01T12:00:00 to 2018-01-01T00:00:00.
- title :
- ECCO Geometry Parameters for the Lat-Lon-Cap 90 (llc90) Native Model Grid (Version 4 Release 4)
- uuid :
- 87ff7d24-86e5-11eb-9c5f-f8f21e2ee3e0
Notice that grid_subset
only has 3 tiles (1, 10, 12) and 4 depth levels (0, 1, 2, 3), as expected. The subset indices can also be passed to isel
as a Python dictionary, with the same result.
[8]:
subset_ind = {'tile':[1,10,12],'k':[0,1,2,3]}
grid_subset = grid.isel(subset_ind)
grid_subset
[8]:
<xarray.Dataset> Dimensions: (i: 90, i_g: 90, j: 90, j_g: 90, k: 4, k_u: 50, k_l: 50, k_p1: 51, tile: 3, nb: 4, nv: 2) Coordinates: (12/20) * i (i) int32 0 1 2 3 4 5 6 7 8 9 10 ... 80 81 82 83 84 85 86 87 88 89 * i_g (i_g) int32 0 1 2 3 4 5 6 7 8 9 ... 80 81 82 83 84 85 86 87 88 89 * j (j) int32 0 1 2 3 4 5 6 7 8 9 10 ... 80 81 82 83 84 85 86 87 88 89 * j_g (j_g) int32 0 1 2 3 4 5 6 7 8 9 ... 80 81 82 83 84 85 86 87 88 89 * k (k) int32 0 1 2 3 * k_u (k_u) int32 0 1 2 3 4 5 6 7 8 9 ... 40 41 42 43 44 45 46 47 48 49 ... ... Zp1 (k_p1) float32 0.0 -10.0 -20.0 ... -5.244e+03 -5.678e+03 -6.134e+03 Zu (k_u) float32 -10.0 -20.0 -30.0 ... -5.678e+03 -6.134e+03 Zl (k_l) float32 0.0 -10.0 -20.0 ... -4.834e+03 -5.244e+03 -5.678e+03 XC_bnds (tile, j, i, nb) float32 -38.0 -37.0 -37.0 ... -115.0 -115.0 -108.5 YC_bnds (tile, j, i, nb) float32 -57.01 -57.01 -56.47 ... -88.18 -88.16 Z_bnds (k, nv) float32 0.0 -10.0 -10.0 -20.0 -20.0 -30.0 -30.0 -40.0 Dimensions without coordinates: nb, nv Data variables: (12/21) CS (tile, j, i) float32 1.0 1.0 1.0 1.0 ... -0.9601 -0.9854 -0.9984 SN (tile, j, i) float32 -0.0 6.524e-15 -6.524e-15 ... -0.1705 -0.05718 rA (tile, j, i) float32 3.625e+09 3.625e+09 ... 3.685e+08 3.611e+08 dxG (tile, j_g, i) float32 6.054e+04 6.054e+04 ... 2.36e+04 2.314e+04 dyG (tile, j, i_g) float32 5.944e+04 5.944e+04 ... 1.56e+04 1.558e+04 Depth (tile, j, i) float32 3.284e+03 3.486e+03 3.486e+03 ... 0.0 0.0 0.0 ... ... hFacC (k, tile, j, i) float32 1.0 1.0 1.0 1.0 1.0 ... 0.0 0.0 0.0 0.0 0.0 hFacW (k, tile, j, i_g) float32 1.0 1.0 1.0 1.0 1.0 ... 0.0 0.0 0.0 0.0 hFacS (k, tile, j_g, i) float32 1.0 1.0 1.0 1.0 1.0 ... 0.0 0.0 0.0 0.0 maskC (k, tile, j, i) bool True True True True ... False False False maskW (k, tile, j, i_g) bool True True True True ... False False False maskS (k, tile, j_g, i) bool True True True True ... False False False Attributes: (12/58) acknowledgement: This research was carried out by the Jet... author: Ian Fenty and Ou Wang cdm_data_type: Grid comment: Fields provided on the curvilinear lat-l... Conventions: CF-1.8, ACDD-1.3 coordinates_comment: Note: the global 'coordinates' attribute... ... ... references: ECCO Consortium, Fukumori, I., Wang, O.,... source: The ECCO V4r4 state estimate was produce... standard_name_vocabulary: NetCDF Climate and Forecast (CF) Metadat... summary: This dataset provides geometric paramete... title: ECCO Geometry Parameters for the Lat-Lon... uuid: 87ff7d24-86e5-11eb-9c5f-f8f21e2ee3e0
- i: 90
- i_g: 90
- j: 90
- j_g: 90
- k: 4
- k_u: 50
- k_l: 50
- k_p1: 51
- tile: 3
- nb: 4
- nv: 2
- i(i)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- X
- long_name :
- grid index in x for variables at tracer and 'v' locations
- swap_dim :
- XC
- comment :
- In the Arakawa C-grid system, tracer (e.g., THETA) and 'v' variables (e.g., VVEL) have the same x coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- i_g(i_g)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- X
- long_name :
- grid index in x for variables at 'u' and 'g' locations
- c_grid_axis_shift :
- -0.5
- swap_dim :
- XG
- comment :
- In the Arakawa C-grid system, 'u' (e.g., UVEL) and 'g' variables (e.g., XG) have the same x coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- j(j)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- Y
- long_name :
- grid index in y for variables at tracer and 'u' locations
- swap_dim :
- YC
- comment :
- In the Arakawa C-grid system, tracer (e.g., THETA) and 'u' variables (e.g., UVEL) have the same y coordinate on the model grid.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- j_g(j_g)int320 1 2 3 4 5 6 ... 84 85 86 87 88 89
- axis :
- Y
- long_name :
- grid index in y for variables at 'v' and 'g' locations
- c_grid_axis_shift :
- -0.5
- swap_dim :
- YG
- comment :
- In the Arakawa C-grid system, 'v' (e.g., VVEL) and 'g' variables (e.g., XG) have the same y coordinate.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89])
- k(k)int320 1 2 3
- axis :
- Z
- long_name :
- grid index in z for tracer variables
- swap_dim :
- Z
- coverage_content_type :
- coordinate
array([0, 1, 2, 3])
- k_u(k_u)int320 1 2 3 4 5 6 ... 44 45 46 47 48 49
- axis :
- Z
- long_name :
- grid index in z corresponding to the bottom face of tracer grid cells ('w' locations)
- c_grid_axis_shift :
- 0.5
- swap_dim :
- Zu
- comment :
- First index corresponds to the bottom face of the uppermost tracer grid cell. The use of 'u' in the variable name follows the MITgcm convention for naming the bottom face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])
- k_l(k_l)int320 1 2 3 4 5 6 ... 44 45 46 47 48 49
- axis :
- Z
- long_name :
- grid index in z corresponding to the top face of tracer grid cells ('w' locations)
- c_grid_axis_shift :
- -0.5
- swap_dim :
- Zl
- comment :
- First index corresponds to the top face of the uppermost tracer grid cell. The use of 'l' in the variable name follows the MITgcm convention for naming the top face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])
- k_p1(k_p1)int320 1 2 3 4 5 6 ... 45 46 47 48 49 50
- axis :
- Z
- long_name :
- grid index in z for variables at 'w' locations
- c_grid_axis_shift :
- [-0.5 0.5]
- swap_dim :
- Zp1
- comment :
- Includes top of uppermost model tracer cell (k_p1=0) and bottom of lowermost tracer cell (k_p1=51).
- coverage_content_type :
- coordinate
array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50])
- tile(tile)int321 10 12
- long_name :
- lat-lon-cap tile index
- comment :
- The ECCO V4 horizontal model grid is divided into 13 tiles of 90x90 cells for convenience.
- coverage_content_type :
- coordinate
array([ 1, 10, 12])
- XC(tile, j, i)float32...
- long_name :
- longitude of tracer grid cell center
- units :
- degrees_east
- coordinate :
- YC XC
- bounds :
- XC_bnds
- comment :
- nonuniform grid spacing
- coverage_content_type :
- coordinate
- standard_name :
- longitude
array([[[ -37.5 , -36.5 , ..., 50.5 , 51.5 ], [ -37.5 , -36.5 , ..., 50.5 , 51.5 ], ..., [ -37.5 , -36.5 , ..., 50.5 , 51.5 ], [ -37.5 , -36.5 , ..., 50.5 , 51.5 ]], [[-127.83792 , -127.77199 , ..., -127.5 , -127.5 ], [-127.44421 , -127.29195 , ..., -126.5 , -126.5 ], ..., [ -38.55579 , -38.708057, ..., -39.5 , -39.5 ], [ -38.162075, -38.228012, ..., -38.5 , -38.5 ]], [[-127.5 , -127.5 , ..., -115.50567 , -115.166985], [-126.5 , -126.5 , ..., -115.464066, -115.153244], ..., [ -39.5 , -39.5 , ..., -106.24874 , -112.090065], [ -38.5 , -38.5 , ..., -105.58465 , -111.86579 ]]], dtype=float32)
- YC(tile, j, i)float32...
- long_name :
- latitude of tracer grid cell center
- units :
- degrees_north
- coordinate :
- YC XC
- bounds :
- YC_bnds
- comment :
- nonuniform grid spacing
- coverage_content_type :
- coordinate
- standard_name :
- latitude
array([[[-56.73891 , -56.73891 , ..., -56.73891 , -56.73891 ], [-56.2021 , -56.2021 , ..., -56.2021 , -56.2021 ], ..., [ 8.516253, 8.516253, ..., 8.516253, 8.516253], [ 9.482398, 9.482398, ..., 9.482398, 9.482398]], [[ 67.47211 , 67.33552 , ..., 11.438585, 10.458642], [ 67.53387 , 67.37607 , ..., 11.438585, 10.458642], ..., [ 67.53387 , 67.37607 , ..., 11.438585, 10.458642], [ 67.47211 , 67.33552 , ..., 11.438585, 10.458642]], [[-57.271408, -57.79962 , ..., -80.3745 , -80.37896 ], [-57.271408, -57.79962 , ..., -80.317726, -80.32216 ], ..., [-57.271408, -57.79962 , ..., -87.94044 , -87.96276 ], [-57.271408, -57.79962 , ..., -88.07871 , -88.10267 ]]], dtype=float32)
- XG(tile, j_g, i_g)float32...
- long_name :
- longitude of 'southwest' corner of tracer grid cell
- units :
- degrees_east
- coordinate :
- YG XG
- comment :
- Nonuniform grid spacing. Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- standard_name :
- longitude
array([[[ -38. , -37. , ..., 50. , 51. ], [ -38. , -37. , ..., 50. , 51. ], ..., [ -38. , -37. , ..., 50. , 51. ], [ -38. , -37. , ..., 50. , 51. ]], [[-128. , -128. , ..., -128. , -128. ], [-127.73445 , -127.588936, ..., -127. , -127. ], ..., [ -38.675385, -38.881042, ..., -40. , -40. ], [ -38.265545, -38.411068, ..., -39. , -39. ]], [[-128. , -128. , ..., -115.70526 , -115.34945 ], [-127. , -127. , ..., -115.64933 , -115.32173 ], ..., [ -40. , -40. , ..., -103.74563 , -109.36924 ], [ -39. , -39. , ..., -102.928925, -108.95171 ]]], dtype=float32)
- YG(tile, j_g, i_g)float32...
- long_name :
- latitude of 'southwest' corner of tracer grid cell
- units :
- degrees_north
- comment :
- Nonuniform grid spacing. Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- standard_name :
- latitude
array([[[-57.005695, -57.005695, ..., -57.005695, -57.005695], [-56.471046, -56.471046, ..., -56.471046, -56.471046], ..., [ 8.039881, 8.039881, ..., 8.039881, 8.039881], [ 8.997536, 8.997536, ..., 8.997536, 8.997536]], [[ 67.5 , 67.40169 , ..., 11.928692, 10.948437], [ 67.560646, 67.42869 , ..., 11.928692, 10.948437], ..., [ 67.6532 , 67.49435 , ..., 11.928692, 10.948437], [ 67.560646, 67.42869 , ..., 11.928692, 10.948437]], [[-57.005695, -57.53605 , ..., -80.400444, -80.40726 ], [-57.005695, -57.53605 , ..., -80.34161 , -80.34837 ], ..., [-57.005695, -57.53605 , ..., -87.85214 , -87.884766], [-57.005695, -57.53605 , ..., -87.9892 , -88.02409 ]]], dtype=float32)
- Z(k)float32-5.0 -15.0 -25.0 -35.0
- long_name :
- depth of tracer grid cell center
- units :
- m
- positive :
- up
- bounds :
- Z_bnds
- comment :
- Non-uniform vertical spacing.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ -5., -15., -25., -35.], dtype=float32)
- Zp1(k_p1)float320.0 -10.0 ... -5.678e+03 -6.134e+03
- long_name :
- depth of top/bottom face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- Contains one element more than the number of vertical layers. First element is 0m, the depth of the top face of the uppermost grid cell. Last element is the depth of the bottom face of the deepest grid cell.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ 0. , -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. , -6134.5 ], dtype=float32)
- Zu(k_u)float32-10.0 -20.0 ... -6.134e+03
- long_name :
- depth of bottom face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- First element is -10m, the depth of the bottom face of the uppermost tracer grid cell. Last element is the depth of the bottom face of the deepest grid cell. The use of 'u' in the variable name follows the MITgcm convention for naming the bottom face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. , -6134.5 ], dtype=float32)
- Zl(k_l)float320.0 -10.0 ... -5.244e+03 -5.678e+03
- long_name :
- depth of top face of tracer grid cell
- units :
- m
- positive :
- up
- comment :
- First element is 0m, the depth of the top face of the uppermost tracer grid cell (i.e., the ocean surface). Last element is the depth of the top face of the deepest grid cell. The use of 'l' in the variable name follows the MITgcm convention for naming the top face of ocean tracer grid cells.
- coverage_content_type :
- coordinate
- standard_name :
- depth
array([ 0. , -10. , -20. , -30. , -40. , -50. , -60. , -70. , -80.01, -90.04, -100.15, -110.47, -121.27, -133.03, -146.45, -162.49, -182.31, -207.16, -238.26, -276.68, -323.18, -378.18, -441.68, -513.26, -592.16, -677.31, -767.49, -861.45, -958.03, -1056.28, -1155.53, -1255.54, -1356.87, -1461.43, -1572.76, -1695.59, -1834.68, -1993.62, -2174.45, -2378. , -2604.5 , -2854. , -3126.5 , -3422. , -3740.5 , -4082. , -4446.5 , -4834. , -5244.5 , -5678. ], dtype=float32)
- XC_bnds(tile, j, i, nb)float32...
- comment :
- Bounds array follows CF conventions. XC_bnds[i,j,0] = 'southwest' corner (j-1, i-1), XC_bnds[i,j,1] = 'southeast' corner (j-1, i+1), XC_bnds[i,j,2] = 'northeast' corner (j+1, i+1), XC_bnds[i,j,3] = 'northwest' corner (j+1, i-1). Note: 'southwest', 'southeast', northwest', and 'northeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- long_name :
- longitudes of tracer grid cell corners
array([[[[ -38. , ..., -38. ], ..., [ 51. , ..., 51. ]], ..., [[ -38. , ..., -38. ], ..., [ 51. , ..., 51. ]]], ..., [[[-128. , ..., -127. ], ..., [-115.34945, ..., -115.32173]], ..., [[ -39. , ..., -38. ], ..., [-108.95171, ..., -108.47213]]]], dtype=float32)
- YC_bnds(tile, j, i, nb)float32...
- comment :
- Bounds array follows CF conventions. YC_bnds[i,j,0] = 'southwest' corner (j-1, i-1), YC_bnds[i,j,1] = 'southeast' corner (j-1, i+1), YC_bnds[i,j,2] = 'northeast' corner (j+1, i+1), YC_bnds[i,j,3] = 'northwest' corner (j+1, i-1). Note: 'southwest', 'southeast', northwest', and 'northeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm dcoumentation for details.
- coverage_content_type :
- coordinate
- long_name :
- latitudes of tracer grid cell corners
array([[[[-57.005695, ..., -56.471046], ..., [-57.005695, ..., -56.471046]], ..., [[ 8.997536, ..., 9.96973 ], ..., [ 8.997536, ..., 9.96973 ]]], ..., [[[-57.005695, ..., -57.005695], ..., [-80.40726 , ..., -80.34837 ]], ..., [[-57.005695, ..., -57.005695], ..., [-88.02409 , ..., -88.16335 ]]]], dtype=float32)
- Z_bnds(k, nv)float320.0 -10.0 -10.0 ... -30.0 -40.0
- comment :
- One pair of depths for each vertical level.
- coverage_content_type :
- coordinate
- long_name :
- depths of top and bottom faces of tracer grid cell
array([[ 0., -10.], [-10., -20.], [-20., -30.], [-30., -40.]], dtype=float32)
- CS(tile, j, i)float32...
- long_name :
- cosine of tracer grid cell orientation vs geographical north
- units :
- 1
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- comment :
- CS and SN are required to calculate the geographic (meridional, zonal) components of vectors on the curvilinear model grid. Note: for vector R with components R_x and R_y: R_{east} = CS R_x - SN R_y. R_{north} = SN R_x + CS R_y
array([[[ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00], [ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00], ..., [ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00], [ 1.000000e+00, 1.000000e+00, ..., 1.000000e+00, 1.000000e+00]], [[ 3.344208e-01, 1.301878e-01, ..., -9.046443e-16, -1.806440e-15], [ 4.250556e-01, 2.863229e-01, ..., -3.137114e-18, 9.046443e-16], ..., [-4.250556e-01, -2.863229e-01, ..., 3.137114e-18, -9.046443e-16], [-3.344208e-01, -1.301878e-01, ..., 9.046443e-16, 1.806440e-15]], [[-0.000000e+00, 1.343171e-14, ..., 9.929879e-01, 9.992237e-01], [ 6.524060e-15, -1.343171e-14, ..., 9.918978e-01, 9.991017e-01], ..., [-6.524060e-15, 1.343171e-14, ..., -9.872005e-01, -9.985729e-01], [-0.000000e+00, -1.343171e-14, ..., -9.853618e-01, -9.983638e-01]]], dtype=float32)
- SN(tile, j, i)float32...
- long_name :
- sine of tracer grid cell orientation vs geographical north
- units :
- 1
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- comment :
- CS and SN are required to calculate the geographic (meridional, zonal) components of vectors on the curvilinear model grid. Note: for vector R with components R_x and R_y in local grid directions x and y, the geographical eastward component R_{east} = CS R_x - SN R_y. The geographical northward component R_{north} = SN R_x + CS R_y.
array([[[-0.000000e+00, 6.524060e-15, ..., -6.524060e-15, -0.000000e+00], [-0.000000e+00, -0.000000e+00, ..., -0.000000e+00, -0.000000e+00], ..., [ 8.992435e-16, -1.796239e-15, ..., 1.796239e-15, -8.992435e-16], [-2.552571e-18, -8.992435e-16, ..., 8.992435e-16, 2.552571e-18]], [[-9.424238e-01, -9.914894e-01, ..., -1.000000e+00, -1.000000e+00], [-9.051672e-01, -9.581332e-01, ..., -1.000000e+00, -1.000000e+00], ..., [-9.051672e-01, -9.581332e-01, ..., -1.000000e+00, -1.000000e+00], [-9.424238e-01, -9.914894e-01, ..., -1.000000e+00, -1.000000e+00]], [[-1.000000e+00, -1.000000e+00, ..., -1.182161e-01, -3.939564e-02], [-1.000000e+00, -1.000000e+00, ..., -1.270383e-01, -4.237737e-02], ..., [-1.000000e+00, -1.000000e+00, ..., -1.594841e-01, -5.340466e-02], [-1.000000e+00, -1.000000e+00, ..., -1.704766e-01, -5.718203e-02]]], dtype=float32)
- rA(tile, j, i)float323.625e+09 3.625e+09 ... 3.611e+08
- long_name :
- area of tracer grid cell
- units :
- m2
- coordinate :
- YC XC
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
array([[[3.624512e+09, 3.624512e+09, ..., 3.624512e+09, 3.624512e+09], [3.707821e+09, 3.707821e+09, ..., 3.707821e+09, 3.707821e+09], ..., [1.170630e+10, 1.170630e+10, ..., 1.170630e+10, 1.170630e+10], [1.185236e+10, 1.185236e+10, ..., 1.185236e+10, 1.185236e+10]], [[2.126339e+08, 3.510164e+08, ..., 1.187557e+10, 1.189609e+10], [3.709757e+08, 4.430613e+08, ..., 1.187557e+10, 1.189609e+10], ..., [3.709757e+08, 4.430613e+08, ..., 1.187557e+10, 1.189609e+10], [2.126339e+08, 3.510164e+08, ..., 1.187557e+10, 1.189609e+10]], [[3.544267e+09, 3.463198e+09, ..., 4.219393e+07, 4.092850e+07], [3.544267e+09, 3.463198e+09, ..., 3.624433e+07, 3.508904e+07], ..., [3.544267e+09, 3.463198e+09, ..., 3.671963e+08, 3.598875e+08], [3.544267e+09, 3.463198e+09, ..., 3.684513e+08, 3.611191e+08]]], dtype=float32)
- dxG(tile, j_g, i)float32...
- long_name :
- distance between 'southwest' and 'southeast' corners of the tracer grid cell
- units :
- m
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'south' side of tracer grid cell. Note: 'south', 'southwest', and 'southeast' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 60542.324 , 60542.324 , ..., 60542.324 , 60542.324 ], [ 61409.805 , 61409.805 , ..., 61409.805 , 61409.805 ], ..., [110084.7 , 110084.7 , ..., 110084.7 , 110084.7 ], [109809.445 , 109809.445 , ..., 109809.445 , 109809.445 ]], [[ 10930.409 , 16981.354 , ..., 108982.29 , 108810.11 ], [ 15965.378 , 18448.256 , ..., 108982.29 , 108810.11 ], ..., [ 19713.574 , 20970.678 , ..., 108982.29 , 108810.11 ], [ 15965.378 , 18448.256 , ..., 108982.29 , 108810.11 ]], [[ 58963.117 , 58455.164 , ..., 6639.343 , 6479.438 ], [ 58963.117 , 58455.164 , ..., 6156.099 , 6002.6626], ..., [ 58963.117 , 58455.164 , ..., 23525.693 , 23068.766 ], [ 58963.117 , 58455.164 , ..., 23600.436 , 23142.107 ]]], dtype=float32)
- dyG(tile, j, i_g)float32...
- long_name :
- distance between 'southwest' and 'northwest' corners of the tracer grid cell
- units :
- m
- coordinate :
- YC XG
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'west' side of tracer grid cell. Note: 'west, 'southwest', and 'northwest' do not correspond to geographic orientation but are used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 59441.125 , 59441.125 , ..., 59441.125 , 59441.125 ], [ 59953.41 , 59953.41 , ..., 59953.41 , 59953.41 ], ..., [106469.66 , 106469.66 , ..., 106469.66 , 106469.66 ], [108086.08 , 108086.08 , ..., 108086.08 , 108086.08 ]], [[ 13144.49 , 17873.049 , ..., 108776.664 , 109153.875 ], [ 20178.707 , 21326.564 , ..., 108776.664 , 109153.875 ], ..., [ 20178.707 , 21326.564 , ..., 108776.664 , 109153.875 ], [ 13144.49 , 17873.049 , ..., 108776.664 , 109153.875 ]], [[ 60542.324 , 59676.61 , ..., 6623.084 , 6566.8154], [ 60542.324 , 59676.61 , ..., 6160.646 , 6099.426 ], ..., [ 60542.324 , 59676.61 , ..., 15589.719 , 15578.099 ], [ 60542.324 , 59676.61 , ..., 15595.26 , 15583.685 ]]], dtype=float32)
- Depth(tile, j, i)float32...
- long_name :
- model seafloor depth below ocean surface at rest
- units :
- m
- coordinate :
- XC YC
- coverage_content_type :
- modelResult
- standard_name :
- sea_floor_depth_below_geoid
- comment :
- Model sea surface height (SSH) of 0m corresponds to an ocean surface at rest relative to the geoid. Depth corresponds to seafloor depth below geoid. Note: the MITgcm used by ECCO V4r4 implements 'partial cells' so the actual model seafloor depth may differ from the seafloor depth provided by the input bathymetry file.
array([[[3284.1084 , 3485.7 , ..., 5444.462 , 5387.942 ], [3350.4321 , 3403.6208 , ..., 5379.0474 , 5359.3574 ], ..., [3931.512 , 4203.5933 , ..., 645.98663, 4068.4116 ], [4220.781 , 4446.5 , ..., 0. , 1310.237 ]], [[ 0. , 0. , ..., 4795.424 , 4704.2793 ], [ 0. , 0. , ..., 4747.4746 , 4680.251 ], ..., [ 0. , 0. , ..., 4699.697 , 4650. ], [ 0. , 0. , ..., 4824.544 , 4407.9893 ]], [[3920.2725 , 3809.5889 , ..., 0. , 0. ], [3984.9038 , 3906.704 , ..., 0. , 0. ], ..., [2949.6958 , 3126.5 , ..., 0. , 0. ], [3076.3447 , 3119.1152 , ..., 0. , 0. ]]], dtype=float32)
- rAz(tile, j_g, i_g)float32...
- long_name :
- area of vorticity 'g' grid cell
- units :
- m2
- coordinate :
- YG XG
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Vorticity cells are staggered in space relative to tracer cells, nominally situated on tracer cell corners. Vorticity cell (i,j) is located at the 'southwest' corner of tracer grid cell (i, j). Note: 'southwest' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[3.584245e+09, 3.584245e+09, ..., 3.584245e+09, 3.584245e+09], [3.665067e+09, 3.665067e+09, ..., 3.665067e+09, 3.665067e+09], ..., [1.158138e+10, 1.158138e+10, ..., 1.158138e+10, 1.158138e+10], [1.179482e+10, 1.179482e+10, ..., 1.179482e+10, 1.179482e+10]], [[1.041340e+08, 2.567802e+08, ..., 1.185007e+10, 1.189190e+10], [2.896392e+08, 3.352925e+08, ..., 1.185007e+10, 1.189190e+10], ..., [4.549490e+08, 4.675251e+08, ..., 1.185007e+10, 1.189190e+10], [2.896392e+08, 3.352925e+08, ..., 1.185007e+10, 1.189190e+10]], [[3.584245e+09, 3.504577e+09, ..., 4.614146e+07, 4.457433e+07], [3.584245e+09, 3.504577e+09, ..., 3.996748e+07, 3.851063e+07], ..., [3.584245e+09, 3.504577e+09, ..., 3.702565e+08, 3.628590e+08], [3.584245e+09, 3.504577e+09, ..., 3.715720e+08, 3.641506e+08]]], dtype=float32)
- dxC(tile, j, i_g)float32...
- long_name :
- distance between centers of adjacent tracer grid cells in the 'x' direction
- units :
- m
- coordinate :
- YC XG
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'north' side of vorticity grid cells. Note: 'north' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 60975.85 , 60975.85 , ..., 60975.85 , 60975.85 ], [ 61844.16 , 61844.16 , ..., 61844.16 , 61844.16 ], ..., [109951.62 , 109951.62 , ..., 109951.62 , 109951.62 ], [109658.375 , 109658.375 , ..., 109658.375 , 109658.375 ]], [[ 13362.789 , 15461.596 , ..., 108940.72 , 108947.625 ], [ 18557.398 , 18723.23 , ..., 108940.72 , 108947.625 ], ..., [ 18557.398 , 18723.23 , ..., 108940.72 , 108947.625 ], [ 13362.789 , 15461.596 , ..., 108940.72 , 108947.625 ]], [[ 59201.66 , 58725.49 , ..., 6489.9375, 6315.64 ], [ 59201.66 , 58725.49 , ..., 6002.6147, 5832.9194], ..., [ 59201.66 , 58725.49 , ..., 23792.676 , 23334.83 ], [ 59201.66 , 58725.49 , ..., 23865.428 , 23406.256 ]]], dtype=float32)
- dyC(tile, j_g, i)float32...
- long_name :
- distance between centers of adjacent tracer grid cells in the 'y' direction
- units :
- m
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- comment :
- Alternatively, the length of 'east' side of vorticity grid cells. Note: 'east' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[ 59201.66 , 59201.66 , ..., 59201.66 , 59201.66 ], [ 59681.477 , 59681.477 , ..., 59681.477 , 59681.477 ], ..., [105206.3 , 105206.3 , ..., 105206.3 , 105206.3 ], [107413.53 , 107413.53 , ..., 107413.53 , 107413.53 ]], [[ 14067.07 , 19590.729 , ..., 108969.25 , 109330.39 ], [ 18116.71 , 21062.102 , ..., 108969.25 , 109330.39 ], ..., [ 22498.332 , 23828.547 , ..., 108969.25 , 109330.39 ], [ 18116.71 , 21062.102 , ..., 108969.25 , 109330.39 ]], [[ 60109.234 , 59244.46 , ..., 6818.0396, 6782.365 ], [ 60109.234 , 59244.46 , ..., 6359.012 , 6320.301 ], ..., [ 60109.234 , 59244.46 , ..., 15579.867 , 15572.209 ], [ 60109.234 , 59244.46 , ..., 15585.765 , 15578.138 ]]], dtype=float32)
- rAw(tile, j, i_g)float32...
- long_name :
- area of 'v' grid cell
- units :
- m2
- coordinate :
- YG XC
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Model 'v' grid cells are staggered in space between adjacent tracer grid cells in the 'x' direction. 'v' grid cell (i,j) is situated at the 'west' edge of tracer grid cell (i, j). Note: 'west' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[3.624512e+09, 3.624512e+09, ..., 3.624512e+09, 3.624512e+09], [3.707821e+09, 3.707821e+09, ..., 3.707821e+09, 3.707821e+09], ..., [1.170630e+10, 1.170630e+10, ..., 1.170630e+10, 1.170630e+10], [1.185236e+10, 1.185236e+10, ..., 1.185236e+10, 1.185236e+10]], [[1.930606e+08, 2.800269e+08, ..., 1.185007e+10, 1.189190e+10], [3.766032e+08, 4.009158e+08, ..., 1.185007e+10, 1.189190e+10], ..., [3.766032e+08, 4.009158e+08, ..., 1.185007e+10, 1.189190e+10], [1.930606e+08, 2.800269e+08, ..., 1.185007e+10, 1.189190e+10]], [[3.584245e+09, 3.504577e+09, ..., 4.301258e+07, 4.150135e+07], [3.584245e+09, 3.504577e+09, ..., 3.701013e+07, 3.560611e+07], ..., [3.584245e+09, 3.504577e+09, ..., 3.709266e+08, 3.635169e+08], [3.584245e+09, 3.504577e+09, ..., 3.721930e+08, 3.647604e+08]]], dtype=float32)
- rAs(tile, j_g, i)float32...
- long_name :
- area of 'u' grid cell
- units :
- m2
- coverage_content_type :
- modelResult
- standard_name :
- cell_area
- comment :
- Model 'u' grid cells are staggered in space between adjacent tracer grid cells in the 'y' direction. 'u' grid cell (i,j) is situated at the 'south' edge of tracer grid cell (i, j). Note: 'south' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[3.584245e+09, 3.584245e+09, ..., 3.584245e+09, 3.584245e+09], [3.665067e+09, 3.665067e+09, ..., 3.665067e+09, 3.665067e+09], ..., [1.158138e+10, 1.158138e+10, ..., 1.158138e+10, 1.158138e+10], [1.179482e+10, 1.179482e+10, ..., 1.179482e+10, 1.179482e+10]], [[1.736957e+08, 3.358812e+08, ..., 1.187557e+10, 1.189609e+10], [2.921858e+08, 3.904717e+08, ..., 1.187557e+10, 1.189609e+10], ..., [4.447714e+08, 5.007964e+08, ..., 1.187557e+10, 1.189609e+10], [2.921858e+08, 3.904717e+08, ..., 1.187557e+10, 1.189609e+10]], [[3.544267e+09, 3.463198e+09, ..., 4.529525e+07, 4.397241e+07], [3.544267e+09, 3.463198e+09, ..., 3.917564e+07, 3.796608e+07], ..., [3.544267e+09, 3.463198e+09, ..., 3.665322e+08, 3.592359e+08], [3.544267e+09, 3.463198e+09, ..., 3.678359e+08, 3.605152e+08]]], dtype=float32)
- drC(k_p1)float325.0 10.0 10.0 ... 422.0 445.0 228.2
- long_name :
- distance between the centers of adjacent tracer grid cells in the 'z' direction
- units :
- m
- coverage_content_type :
- modelResult
- comment :
- The first element corresponds to the distance between the depth of the center of the uppermost model grid cell and the surface.
array([ 5. , 10. , 10. , 10. , 10. , 10. , 10. , 10.005, 10.02 , 10.07 , 10.215, 10.56 , 11.28 , 12.59 , 14.73 , 17.93 , 22.335, 27.975, 34.76 , 42.46 , 50.75 , 59.25 , 67.54 , 75.24 , 82.025, 87.665, 92.07 , 95.27 , 97.415, 98.75 , 99.63 , 100.67 , 102.945, 107.945, 117.08 , 130.96 , 149.015, 169.885, 192.19 , 215.025, 238. , 261. , 284. , 307. , 330. , 353. , 376. , 399. , 422. , 445. , 228.25 ], dtype=float32)
- drF(k)float3210.0 10.0 10.0 10.0
- long_name :
- distance between the upper and lower interfaces of the model grid cell
- units :
- m
- coverage_content_type :
- modelResult
- standard_name :
- cell_thickness
- comment :
- Nominal grid cell thickness. Note: in the z* coordinate system used in ECCO V4, actual tracer grid cell thickness, h, varies through time as h(i,j,k,t)= drF(k) hfacC(i,j,k,t).
array([10., 10., 10., 10.], dtype=float32)
- PHrefC(k)float3249.05 147.1 245.2 343.4
- long_name :
- reference ocean hydrostatic pressure at tracer grid cell center
- units :
- m2 s-2
- coverage_content_type :
- modelResult
- comment :
- PHrefC = p_ref (k) / rhoConst = rhoConst g z(k) / rhoConst = g z(k), where p_ref(k) is reference hydrostatic ocean pressure at center of tracer grid cell k, rhoConst is reference density (1029 kg m-3), g is acceleration due to gravity (9.81 m s-2), and z(k) is depth at center of tracer grid cell k. Units: p:[kg m-1 s-2], rhoConst:[kg m-3], g:[m s-2], z_m(t):[m]. Note: does not include atmospheric pressure loading. Quantity referred to in some contexts as hydrostatic pressure potential. PHIHYDcR is anomaly of PHrefC.
array([ 49.05, 147.15, 245.25, 343.35], dtype=float32)
- PHrefF(k_p1)float320.0 98.1 ... 5.57e+04 6.018e+04
- long_name :
- reference ocean hydrostatic pressure at tracer grid cell top/bottom interface
- units :
- m2 s-2
- coverage_content_type :
- modelResult
- comment :
- PHrefF = p_ref (k_l) / rhoConst = rhoConst g z(k_l) / rhoConst = g z(k_l), where p_ref(k_l) is reference hydrostatic ocean pressure at lower interface of tracer grid cell k, rhoConst is reference density (1029 kg m-3), g is acceleration due to gravity (9.81 m s-2), and z(k) is depth at center of tracer grid cell k. Units: p:[kg m-1 s-2], rhoConst:[kg m-3], g:[m s-2], z_m(t):[m]. Note: does not include atmospheric pressure loading. Quantity referred to in some contexts as hydrostatic pressure potential. See PHrefC
array([ 0. , 98.1 , 196.2 , 294.3 , 392.4 , 490.5 , 588.6 , 686.7 , 784.8981, 883.2924, 982.4715, 1083.7107, 1189.6587, 1305.0243, 1436.6746, 1594.0269, 1788.461 , 2032.2396, 2337.3306, 2714.2307, 3170.3958, 3709.9458, 4332.881 , 5035.0806, 5809.09 , 6644.411 , 7529.0767, 8450.824 , 9398.274 , 10362.106 , 11335.749 , 12316.848 , 13310.895 , 14336.628 , 15428.775 , 16633.738 , 17998.21 , 19557.412 , 21331.355 , 23328.18 , 25550.145 , 27997.74 , 30670.965 , 33569.82 , 36694.305 , 40044.42 , 43620.164 , 47421.54 , 51448.547 , 55701.18 , 60179.445 ], dtype=float32)
- hFacC(k, tile, j, i)float32...
- long_name :
- vertical open fraction of tracer grid cell
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- Tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacC. The model allows for partially-filled cells to represent topographic variations more smoothly (hFacC < 1). Completely closed (dry) tracer grid cells have hFacC = 0. Note: the model z* coordinate system allows hFacC to vary through time. A time-invariant hFacC field is provided for reference.
array([[[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]], ..., [[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]]], dtype=float32)
- hFacW(k, tile, j, i_g)float32...
- long_name :
- vertical open fraction of tracer grid cell 'west' face
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- The 'west' face of tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacW. The model allows for partially-filled cells for smoother representation of seafloor topography. Tracer grid cells adjacent in the 'x' direction that are partially closed in the vertical have hFacW < 1. The model z* coordinate system used by the model permits hFacC, and therefore hFacW, to vary through time. A time-invariant hFacW field is provided for reference. Note: The term 'west' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[[1., ..., 1.], ..., [1., ..., 0.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]], ..., [[[1., ..., 1.], ..., [1., ..., 0.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]]], dtype=float32)
- hFacS(k, tile, j_g, i)float32...
- long_name :
- vertical open fraction of tracer grid cell 'south' face
- coverage_content_type :
- modelResult
- units :
- 1
- comment :
- The 'south' face of tracer grid cells may be fractionally closed in the vertical. The open vertical fraction is hFacS. The model allows for partially-filled cells for smoother representation of seafloor topography. Tracer grid cells adjacent in the 'y' direction that are partially closed in the vertical have hFacS < 1. The model z* coordinate system used by the model permits hFacC, and therefore hFacS, to vary through time. A time-invariant hFacS field is provided for reference. Note: The term 'south' does not correspond to geographic orientation but is used for convenience to describe the computational grid. See MITgcm documentation for details.
array([[[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]], ..., [[[1., ..., 1.], ..., [1., ..., 1.]], ..., [[1., ..., 0.], ..., [1., ..., 0.]]]], dtype=float32)
- maskC(k, tile, j, i)bool...
- long_name :
- wet/dry boolean mask for tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for tracer grid cells with nonzero open vertical fraction (hFacC > 0), otherwise False. Although hFacC can vary though time, cells will never close if starting open and will never open if starting closed: hFacC(i,j,k,t) > 0 for all t, if hFacC(i,j,k,t=0) and hFacC(i,j,k,t) = 0 for all t, if hFacC(i,j,k,t=0) = 0. Therefore, maskC is time invariant.
array([[[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]], ..., [[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]]])
- maskW(k, tile, j, i_g)bool...
- long_name :
- wet/dry boolean mask for 'west' face of tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for grid cells with nonzero open vertical fraction along their 'west' face (hFacW > 0), otherwise False. Although hFacW can vary though time, cells will never close if starting open and will never open if starting closed: hFacW(i,j,k,t) > 0 for all t, if hFacW(i,j,k,t=0) and hFacW(i,j,k,t) = 0 for all t, if hFacW(i,j,k,t=0) = 0. Therefore, maskW is time invariant. Note:
array([[[[ True, ..., True], ..., [ True, ..., False]], ..., [[ True, ..., False], ..., [ True, ..., False]]], ..., [[[ True, ..., True], ..., [ True, ..., False]], ..., [[ True, ..., False], ..., [ True, ..., False]]]])
- maskS(k, tile, j_g, i)bool...
- long_name :
- wet/dry boolean mask for 'south' face of tracer grid cell
- coverage_content_type :
- modelResult
- comment :
- True for grid cells with nonzero open vertical fraction along their 'south' face (hFacS > 0), otherwise False. Although hFacS can vary though time, cells will never close if starting open and will never open if starting closed: hFacS(i,j,k,t) > 0 for all t, if hFacS(i,j,k,t=0) and hFacS(i,j,k,t) = 0 for all t, if hFacS(i,j,k,t=0) = 0. Therefore, maskS is time invariant. Note:
array([[[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]], ..., [[[ True, ..., True], ..., [ True, ..., True]], ..., [[ True, ..., False], ..., [ True, ..., False]]]])
- acknowledgement :
- This research was carried out by the Jet Propulsion Laboratory, managed by the California Institute of Technology under a contract with the National Aeronautics and Space Administration.
- author :
- Ian Fenty and Ou Wang
- cdm_data_type :
- Grid
- comment :
- Fields provided on the curvilinear lat-lon-cap 90 (llc90) native grid used in the ECCO model.
- Conventions :
- CF-1.8, ACDD-1.3
- coordinates_comment :
- Note: the global 'coordinates' attribute describes auxillary coordinates.
- creator_email :
- ecco-group@mit.edu
- creator_institution :
- NASA Jet Propulsion Laboratory (JPL)
- creator_name :
- ECCO Consortium
- creator_type :
- group
- creator_url :
- https://ecco-group.org
- date_created :
- 2021-03-16T22:56:35
- date_issued :
- 2021-03-16T22:56:35
- date_metadata_modified :
- 2021-03-16T22:56:35
- date_modified :
- 2021-03-16T22:56:35
- geospatial_bounds_crs :
- EPSG:4326
- geospatial_lat_max :
- 90.0
- geospatial_lat_min :
- -90.0
- geospatial_lat_resolution :
- variable
- geospatial_lat_units :
- degrees_north
- geospatial_lon_max :
- 180.0
- geospatial_lon_min :
- -180.0
- geospatial_lon_resolution :
- variable
- geospatial_lon_units :
- degrees_east
- geospatial_vertical_max :
- 0.0
- geospatial_vertical_min :
- -6134.5
- geospatial_vertical_positive :
- up
- geospatial_vertical_resolution :
- variable
- geospatial_vertical_units :
- meter
- history :
- Inaugural release of an ECCO Central Estimate solution to PO.DAAC
- id :
- 10.5067/ECL5A-GRD44
- institution :
- NASA Jet Propulsion Laboratory (JPL)
- instrument_vocabulary :
- GCMD instrument keywords
- keywords :
- EARTH SCIENCE SERVICES > MODELS > EARTH SCIENCE REANALYSES/ASSIMILATION MODELS
- keywords_vocabulary :
- NASA Global Change Master Directory (GCMD) Science Keywords
- license :
- Public Domain
- metadata_link :
- https://cmr.earthdata.nasa.gov/search/collections.umm_json?ShortName=ECCO_L4_GEOMETRY_LLC0090GRID_V4R4
- naming_authority :
- gov.nasa.jpl
- platform :
- ERS-1/2, TOPEX/Poseidon, Geosat Follow-On (GFO), ENVISAT, Jason-1, Jason-2, CryoSat-2, SARAL/AltiKa, Jason-3, AVHRR, Aquarius, SSM/I, SSMIS, GRACE, DTU17MDT, Argo, WOCE, GO-SHIP, MEOP, Ice Tethered Profilers (ITP)
- platform_vocabulary :
- GCMD platform keywords
- processing_level :
- L4
- product_name :
- GRID_GEOMETRY_ECCO_V4r4_native_llc0090.nc
- product_time_coverage_end :
- 2018-01-01T00:00:00
- product_time_coverage_start :
- 1992-01-01T12:00:00
- product_version :
- Version 4, Release 4
- program :
- NASA Physical Oceanography, Cryosphere, Modeling, Analysis, and Prediction (MAP)
- project :
- Estimating the Circulation and Climate of the Ocean (ECCO)
- publisher_email :
- podaac@podaac.jpl.nasa.gov
- publisher_institution :
- PO.DAAC
- publisher_name :
- Physical Oceanography Distributed Active Archive Center (PO.DAAC)
- publisher_type :
- institution
- publisher_url :
- https://podaac.jpl.nasa.gov
- references :
- ECCO Consortium, Fukumori, I., Wang, O., Fenty, I., Forget, G., Heimbach, P., & Ponte, R. M. 2020. Synopsis of the ECCO Central Production Global Ocean and Sea-Ice State Estimate (Version 4 Release 4). doi:10.5281/zenodo.3765928
- source :
- The ECCO V4r4 state estimate was produced by fitting a free-running solution of the MITgcm (checkpoint 66g) to satellite and in situ observational data in a least squares sense using the adjoint method
- standard_name_vocabulary :
- NetCDF Climate and Forecast (CF) Metadata Convention
- summary :
- This dataset provides geometric parameters for the lat-lon-cap 90 (llc90) native model grid from the ECCO Version 4 Release 4 (V4r4) ocean and sea-ice state estimate. Parameters include areas and lengths of grid cell sides, horizontal and vertical coordinates of grid cell centers and corners, grid rotation angles, and global domain geometry including bathymetry and land/ocean masks. Estimating the Circulation and Climate of the Ocean (ECCO) state estimates are dynamically and kinematically-consistent reconstructions of the three-dimensional, time-evolving ocean, sea-ice, and surface atmospheric states. ECCO V4r4 is a free-running solution of a global, nominally 1-degree configuration of the MIT general circulation model (MITgcm) that has been fit to observations in a least-squares sense. Observational data constraints used in V4r4 include sea surface height (SSH) from satellite altimeters [ERS-1/2, TOPEX/Poseidon, GFO, ENVISAT, Jason-1,2,3, CryoSat-2, and SARAL/AltiKa]; sea surface temperature (SST) from satellite radiometers [AVHRR], sea surface salinity (SSS) from the Aquarius satellite radiometer/scatterometer, ocean bottom pressure (OBP) from the GRACE satellite gravimeter; sea-ice concentration from satellite radiometers [SSM/I and SSMIS], and in-situ ocean temperature and salinity measured with conductivity-temperature-depth (CTD) sensors and expendable bathythermographs (XBTs) from several programs [e.g., WOCE, GO-SHIP, Argo, and others] and platforms [e.g., research vessels, gliders, moorings, ice-tethered profilers, and instrumented pinnipeds]. V4r4 covers the period 1992-01-01T12:00:00 to 2018-01-01T00:00:00.
- title :
- ECCO Geometry Parameters for the Lat-Lon-Cap 90 (llc90) Native Model Grid (Version 4 Release 4)
- uuid :
- 87ff7d24-86e5-11eb-9c5f-f8f21e2ee3e0
Let’s plot hFacC
and rA
again
[9]:
ecco.plot_tiles(grid_subset.hFacC.isel(k=0), cmap='gray', show_colorbar=True,);
'Model grid cell surface area [m^2] in tiles 1, 10, and 12 '
[9]:
'Model grid cell surface area [m^2] in tiles 1, 10, and 12 '

Notice that 10 of the 13 tiles are blank because they were not loaded.
[10]:
ecco.plot_tiles(grid_subset.rA, cmap='jet', show_colorbar=True);
'Model grid cell surface area [m^2]'
[10]:
'Model grid cell surface area [m^2]'
