Publication Date:
2009-11-28
Description:
The logically rectangular finite volume grids for two-dimensional partial differential equations on a sphere and for three-dimensional problems in a spherical shell introduced recently have nearly uniform cell size, avoiding severe Courant number restrictions. We present recent results with adaptive mesh refinement using the G eo C law software and demonstrate well-balanced methods that exactly maintain equilibrium solutions, such as shallow water equations for an ocean at rest over arbitrary bathymetry.
Print ISSN:
1364-503X
Electronic ISSN:
1471-2962
Topics:
Mathematics
,
Physics
,
Technology
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