International Journal On Finite Volumes

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Download file name: Moving Meshes and Higher Order Finite Volume Reconstructions


Title:
Moving Meshes and Higher Order Finite Volume Reconstructions

Author:
Fredrik Svensson

Abstract:
In this paper, we present and evaluate a moving mesh Finite Volume method for hyperbolic conservation laws. The method consists of two parts; a mesh moving scheme based on the algorithm of Tang and Tang, and a third order accurate bi-hyperbolic reconstruction which is an extension of Marquina's PHM. The resulting algorithm calculates the solution of the conservation laws directly in physical space, without any transformation of the computational grid or the hyperbolic equations. Numerical experiments in one and two space dimensions indicate high numerical accuracy of the method.

Key words :
Moving mesh method, hyperbolic conservation law, Finite volume method, high-order reconstruction.

Publication date: February, 7, 2006

Paper presented by: Prof. Benkhaldoun

Author: Unknown
Version: File size: 0 bytes

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Administrateur: Fayssal BENKHALDOUN

e-mail: fayssal@math.univ-paris13.fr