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Variants of Relaxation Schemes and the Lattice Boltzmann Model Relaxation Systems

Mapundi Kondwani Banda ()
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Mapundi Kondwani Banda: Darmstadt University of Technology

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 89-101 from Springer

Abstract: Summary In the low Mach number limit of the Lattice Boltzmann type models one obtains the incompressible Navier-Stokes equation. This is achieved by asymptotic analysis. Moreover in the course of this analysis, the Lattice Boltzmann Model reduces to a relaxation system which can be discretized using relaxation schemes. We present two variants of the relaxation schemes characterized by local approximation of characteristic speeds and a multidimensional flux approximation. These are applied to relaxation systems. Their performance will be discussed with reference to test cases of isothermal incompressible flow.

Keywords: Shear Layer; Riemann Solver; Lattice Boltzmann Model; Numerical Flux; Relaxation Scheme (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_6

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DOI: 10.1007/978-3-642-18775-9_6

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