On an Approximate Godunov Scheme

We are interested in the numerical resolution of hyperbolic systems of conservation laws which do not allow any analytical calculation and for which it is difficult to use classical schemes such as Roe's scheme. We introduce a new finite volume scheme called VFRoe. As the Roe scheme, it is base...

Full description

Saved in:

Bibliographic Details
Published in:	International journal of computational fluid dynamics Vol. 12; no. 2; pp. 133 - 149
Main Authors:	MASELLA, JEAN-MARIE, FAILLE, ISABELLE, GALLOUET, THIERRY
Format:	Journal Article
Language:	English
Published:	Taylor & Francis Group 01-01-1999
Subjects:	finite volume scheme Hyperbolic system Roe scheme rough Riemann solver two-phase flow models
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We are interested in the numerical resolution of hyperbolic systems of conservation laws which do not allow any analytical calculation and for which it is difficult to use classical schemes such as Roe's scheme. We introduce a new finite volume scheme called VFRoe. As the Roe scheme, it is based on the local resolution of a linearized Riemann problem. The numerical flux is defined following the Godunov scheme, as the physical flux evaluated at the interface value of the linearized solver. The VFRoe scheme is conservative and consistent without fulfilling any Roe's type condition. Some numerical tests on shock tube problems and two-phase flows problems are presented.
ISSN:	1061-8562 1029-0257
DOI:	10.1080/10618569908940819