Preprint 2004-035

A Bi-Hyperbolic Finite Volume Method on Quadrilateral Meshes

Hans Joachim Schroll and Fredrik Svensson

Abstract: A non-oscillatory, high resolution reconstruction method on quadrilateral meshes in 2D is presented. It is a two-dimensional extension of Marquina's hyperbolic method. The generalization to quadrilateral meshes allows the method to simulate realistic flow problems in complex domains. An essential point in the construction of the method is a second order accurate approximation of gradients on an irregular, quadrilateral mesh. The resulting scheme is optimal in the sense that it is third order accurate and the reconstruction requires only nearest neighbour information.

Numerical experiments are presented and the computational results are compared to experimental data.

Available as PDF (3.0 Mbytes).
Hans Joachim Schroll, <>
Fredrik Svensson, <>
Publishing information:
Submitted by:
<> July 7 2004.

[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <>
Last modified: Mon Jul 19 13:39:02 MEST 2004