A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere

D. Calhoun (), C. Helzel () and R. J. LeVeque ()
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D. Calhoun: DM2S/SFME/LTMF, Commissariat à l'Énergie Atomique
C. Helzel: University of Bonn, Institut für Angewandte Mathematik
R. J. LeVeque: University of Washington, Department of Applied Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 355-362 from Springer

Abstract: Uniform Cartesian grids are well suited for solving problems in rectangular domains. Mapped grids and domain embedding techniques are often used to apply rectangular grids to more general domains. In particular, the use of the logically rectangular polar grid is widely used for problems in circular or spherical domains. Other grids of this type include the standard latitude–longitude grid used for the sphere, and the spherical grid used for the ball.

Keywords: Unit Disk; Blast Wave; Shallow Water Equation; Adaptive Mesh; Hyperbolic Problem (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_31

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DOI: 10.1007/978-3-540-75712-2_31

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