A higher order Finite Volume resolution method for a system related to the inviscid primitive equations in a complex domain |
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Authors: | Arthur Bousquet Gung-Min Gie Youngjoon Hong Jacques Laminie |
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Affiliation: | 1. The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Bloomington, IN, 47405, USA 2. Université des Antilles et de la Guyane, Fouillole, BP 250, 97157?, Pointe-à-Pitre, France
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Abstract: | 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. |
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