Semi-Implicit Roe-Type Fluxes for Low-Mach Number Flows - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Rapport Année : 1997

Semi-Implicit Roe-Type Fluxes for Low-Mach Number Flows

Nathalie Glinsky-Olivier
Bernard Larrouturou
  • Fonction : Auteur

Résumé

Two semi-implicit methods based on the splitting of the Euler equations flux into fluid and acoustic parts applied to low Mach number flows are presented. The first method is based on the splitting of slow and fast eigenvalues of the jacobian matrix of the fluxes and a semi-implicit scheme is constructed by introducing only the fast eigenvalues in the implicit matrices. The second method is based on the splitting of the Euler flux by separating the terms in velocity and the terms in pressure ; this system is solved by a fractional step method. A semi-implicit scheme is obtained by using a linearised implicit scheme for the acoustic step only. These two methods are applied to the convection of a density pulse for Mach numbers equal to 0.1 and 0.01. Accuracy and efficiency of the different schemes are compared.
Fichier principal
Vignette du fichier
RR-3132.pdf (286.57 Ko) Télécharger le fichier

Dates et versions

inria-00073557 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00073557 , version 1

Citer

Jean-Frédéric Gerbeau, Nathalie Glinsky-Olivier, Bernard Larrouturou. Semi-Implicit Roe-Type Fluxes for Low-Mach Number Flows. RR-3132, INRIA. 1997. ⟨inria-00073557⟩
205 Consultations
197 Téléchargements

Partager

Gmail Facebook X LinkedIn More