Arun, K. R. ; Raghurama Rao, S. V. ; Lukacova - Medvidova, M. ; Prasad, Phoolan (2007) A genuinely multi-dimensional relaxation scheme for hyperbolic conservation laws Proceedings of the Seventh Asian CFD Conference . pp. 1029-1039.
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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: | Article |
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| Source: | Copyright of this article belongs to National Aerospace Laboratories. |
| Keywords: | Genuinely Multi-dimensional Schemes; Relaxation Systems; Isotropy; Hyperbolic Conservation Laws; Discrete Velocity Boltzmann Equation |
| ID Code: | 90368 |
| Deposited On: | 09 May 2012 14:09 |
| Last Modified: | 19 May 2016 04:36 |
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