Gaussian grid

File:NCEP_T62_gaussian_grid.png

A Gaussian grid is used in the earth sciences as a gridded horizontal coordinate system for scientific modeling on a sphere (i.e., the approximate shape of the Earth). The grid is rectangular, with a set number of orthogonal coordinates (usually latitude and longitude).

At a given latitude (or parallel), the gridpoints are equally spaced. On the contrary along a longitude (or meridian) the gridpoints are unequally spaced. The spacing between grid points is defined by Gaussian quadrature.{{explain|date=June 2022}} By contrast, in the "normal" geographic latitude-longitude grid, gridpoints are equally spaced along both latitudes and longitudes. Gaussian grids also have no grid points at the poles.

In a regular Gaussian grid, the number of gridpoints along the longitudes is constant, usually double the number along the latitudes. In a reduced (or thinned) Gaussian grid, the number of gridpoints in the rows decreases towards the poles, which keeps the gridpoint separation approximately constant across the sphere.

Examples of Gaussian grids

  • CCCma global climate models of climate change
  • [96×48]
  • [128×64]
  • European Centre for Medium-Range Weather Forecasts
  • 192×96
  • 320×160
  • 512×256
  • 640×320
  • 800×400
  • 1024×512
  • 1600×800
  • 2048×1024
  • 2560×1280
  • [http://rda.ucar.edu/datasets/common/ecmwf/ERA40/docs/std-transformations/dss_code_glwp.html Features for ERA-40 grids] {{Webarchive|url=https://web.archive.org/web/20160925045844/http://rda.ucar.edu/datasets/common/ecmwf/ERA40/docs/std-transformations/dss_code_glwp.html |date=2016-09-25 }}

See also

References

  • [http://www.ncl.ucar.edu/Document/Functions/sphpk_grids.shtml#GaussianGrids NCAR Command Language documentation]
  • W.M. Washington and C.L. Parkinson, 2005. An Introduction to Three-Dimensional Climate Modeling. Sausalito, CA, University Science Books. 368 pp.
  • Hortal, Mariano, and A. J. Simmons, 1991. Use of reduced Gaussian grids in spectral models. Monthly Weather Review 119.4 : 1057-1074.

Category:Geodesy

Category:Geographic coordinate systems

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