Conservative Finite-Difference Approximations of the Primitive Equations on Quasi-Uniform Spherical GridsSource: Monthly Weather Review:;1972:;volume( 100 ):;issue: 002::page 136Author:SADOURNY, ROBERT
DOI: 10.1175/1520-0493(1972)100<0136:CFAOTP>2.3.CO;2Publisher: American Meteorological Society
Abstract: A class of conservative finite-difference approximations of the primitive equations is given for quasi-uniform spherical grids derived from regular polyhedrons. The earth is split into several contiguous regions. Within each region, a coordinate system derived from central projections is used, instead of the spherical coordinate system, to avoid the use of inconsistent boundary conditions at the poles. The presence of artificial internal boundaries has no effect on the conservation properties of the approximations. Examples of conservative schemes, up to the second order in the case of a cube, are given. A selective damping operator is needed to remove the two-grid interval waves generated by the existence of internal boundaries.
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contributor author | SADOURNY, ROBERT | |
date accessioned | 2017-06-09T15:59:52Z | |
date available | 2017-06-09T15:59:52Z | |
date copyright | 1972/02/01 | |
date issued | 1972 | |
identifier issn | 0027-0644 | |
identifier other | ams-58410.pdf | |
identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4198854 | |
description abstract | A class of conservative finite-difference approximations of the primitive equations is given for quasi-uniform spherical grids derived from regular polyhedrons. The earth is split into several contiguous regions. Within each region, a coordinate system derived from central projections is used, instead of the spherical coordinate system, to avoid the use of inconsistent boundary conditions at the poles. The presence of artificial internal boundaries has no effect on the conservation properties of the approximations. Examples of conservative schemes, up to the second order in the case of a cube, are given. A selective damping operator is needed to remove the two-grid interval waves generated by the existence of internal boundaries. | |
publisher | American Meteorological Society | |
title | Conservative Finite-Difference Approximations of the Primitive Equations on Quasi-Uniform Spherical Grids | |
type | Journal Paper | |
journal volume | 100 | |
journal issue | 2 | |
journal title | Monthly Weather Review | |
identifier doi | 10.1175/1520-0493(1972)100<0136:CFAOTP>2.3.CO;2 | |
journal fristpage | 136 | |
journal lastpage | 144 | |
tree | Monthly Weather Review:;1972:;volume( 100 ):;issue: 002 | |
contenttype | Fulltext |