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Rapport (Rapport De Recherche) Année : 2010

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

Résumé

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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Dates et versions

inria-00451906 , version 1 (01-02-2010)
inria-00451906 , version 2 (21-04-2010)

Identifiants

  • HAL Id : inria-00451906 , version 1

Citer

Mario Ricchiuto. On the C-property and generalized C-property of Residual Distribution for the Shallow Water equations. [Research Report] RR-7191, 2010. ⟨inria-00451906v1⟩

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