C-property and Residual Distribution

Mario Ricchiuto (1, 2)

1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
2 IMB - Institut de Mathématiques de Bordeaux

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.

Domaines: Analyse numérique [math.NA]

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