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On the C-property and generalized C-property of Residual Distribution for the Shallow Water equations

Mario Ricchiuto 1, 2
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : In this paper we consider the discretization the Shallow Water equa- tions by means of Residual Distribution (RD) schemes, and review the condi- tions allowing the exact preservation of some exact steady solutions. These conditions are shown to be related to both the type of spatial approximation and to the quadrature used to evaluate the cell residual. Numerical examples are shown to validate the theory.
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https://hal.inria.fr/inria-00538844
Contributor : Mario Ricchiuto <>
Submitted on : Tuesday, November 23, 2010 - 2:12:41 PM
Last modification on : Thursday, February 11, 2021 - 2:56:42 PM

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Mario Ricchiuto. On the C-property and generalized C-property of Residual Distribution for the Shallow Water equations. Journal of Scientific Computing, Springer Verlag, 2010, ⟨10.1007/s10915-010-9369-y⟩. ⟨inria-00538844⟩

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