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C-property and Residual Distribution

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 equations by means of Residual Distribution (RD) schemes, and review the conditions 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-00451906
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Submitted on : Wednesday, April 21, 2010 - 2:32:16 PM
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Long-term archiving on: : Thursday, September 23, 2010 - 12:21:29 PM

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  • HAL Id : inria-00451906, version 2

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Mario Ricchiuto. C-property and Residual Distribution. [Research Report] RR-7191, INRIA. 2010. ⟨inria-00451906v2⟩

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