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On grid generation for numerical models of geophysical fluid dynamics

โœ Scribed by Ludmila Bourchtein; Andrei Bourchtein

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
193 KB
Volume
218
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

A simple geometric condition that defines the class of classical (stereographic, conic and cylindrical) conformal mappings from a sphere onto a plane is derived. The problem of optimization of computational grid for spherical domains is solved in an entire class of conformal mappings on spherical (geodesic) disk. The characteristics of computational grids of classical mappings are compared for different spherical radii of geodesic disk. For a rectangular computational domain, the optimization problem is solved in the class of classical mappings and respective area of the spherical domain is evaluated.

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