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Journal Articles Journal of Scientific Computing Year : 2010

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

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.

Dates and versions

inria-00538844 , version 1 (23-11-2010)

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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, 2010, ⟨10.1007/s10915-010-9369-y⟩. ⟨inria-00538844⟩
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