Logically rectangular finite volume methods with adaptive refinement on the sphere
2009 ◽
Vol 367
(1907)
◽
pp. 4483-4496
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Keyword(s):
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.
2010 ◽
Vol 466
(2118)
◽
pp. 1621-1643
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2014 ◽
Vol 70
(4)
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pp. I_793-I_798
Keyword(s):
2018 ◽
Vol 31
(9)
◽
pp. 1829-1841
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Keyword(s):
Keyword(s):