Maximum principle on the entropy and minimal limitations for kinetic schemes - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1992

Maximum principle on the entropy and minimal limitations for kinetic schemes

Abstract

We consider kinetic schemes for the multidimensional inviscid gaz dynamics equations (compressible Euler equations). We prove that the discrete maximum principle holds for a special convex entropy. This fixes the choice of the equilibrium functions necessary for kinetic schemes. We use this property to perform a second order oscillation free scheme where only one slope limitation (for three conserved quantities in 1d) is necessary. Numerical results assert the strong convergence of the scheme.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-1628.pdf (638.07 Ko) Télécharger le fichier

Dates and versions

inria-00074933 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074933 , version 1

Cite

Brahim Khobalatte, Benoît Perthame. Maximum principle on the entropy and minimal limitations for kinetic schemes. [Research Report] RR-1628, INRIA. 1992. ⟨inria-00074933⟩
201 View
111 Download

Share

Gmail Facebook Twitter LinkedIn More