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A Genuinely Multi-dimensional Relaxation Scheme for Hyperbolic Conservation Laws

Arun, KR and Rao, Raghurama SV and Lukacova, Medvidova M and Phoolan, Prasad (2007) A Genuinely Multi-dimensional Relaxation Scheme for Hyperbolic Conservation Laws. In: 7th ACFD Conference Bangalore, November 26-30, 2007, J. N. Tata Auditorium, IISc Bangalore.

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Abstract

A novel genuinely multi-dimensional relaxation scheme is proposed. Based on a new discrete velocity Boltzmann equation, which is an improvement over previously introduced relaxation systems in terms of isotropic coverage of the multi-dimensional domain by the foot of the characteristic, a finite volume method is developed in which the fluxes at the cell interfaces are evaluated in a genuinely multi-dimensional way, in contrast to the traditional dimension-by-dimension treatment. This algorithm is tested on some bench-mark test problems for hyperbolic conservation laws.

Item Type: Conference Paper
Keywords: genuinely multi-dimensional schemes;relaxation systems;isotropy;hyperbolic conservation laws;discrete;velocity Boltzmann equation
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 06 Jun 2008
Last Modified: 19 Sep 2010 04:42
URI: http://eprints.iisc.ernet.in/id/eprint/12939

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