A higher order Finite Volume resolution method for a system related to the inviscid primitive equations in a complex domain

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We construct the cell-centered Finite Volume discretization of the two-dimensional inviscid primitive equations in a domain with topography. To compute the numerical fluxes, the so-called Upwind Scheme (US) and the Central-Upwind Scheme (CUS) are introduced. For the time discretization, we use the classical fourth order Runge-Kutta method. We verify, with our numerical simulations, that the US (or CUS) is a robust first (or second) order scheme, regardless of the shape or size of the topography and without any mesh refinement near the topography.
Publisher
SPRINGER HEIDELBERG
Issue Date
2014-11
Language
English
Article Type
Article
Citation

NUMERISCHE MATHEMATIK, v.128, no.3, pp.431 - 461

ISSN
0029-599X
DOI
10.1007/s00211-014-0622-4
URI
http://hdl.handle.net/10203/311032
Appears in Collection
MA-Journal Papers(저널논문)
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