Consistency of the kinetic scheme with reflections

Mehmet Ersoy (1) , Chiara Simeoni (2)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134
2 PDEs and Numerical Analysis

In this note, we study the consistency of the Finite Volume kinetic scheme with reflections which is well-known to preserve the main physical properties of hyperbolic systems with source term. In particular, we prove that the numerical fluxes are consistent with the exact flux and are asymptotically consistent with the source term.

Mots clés: kinetic scheme; finite volume; shallow water equations; consistency; USI method

Domaines: Analyse numérique [math.NA]

Mehmet Ersoy, Chiara Simeoni. Consistency of the kinetic scheme with reflections. [Research Report] IMATH. 2013. ⟨hal-00918774⟩