A NONDISPERSIVE AND NONDISSIPATIVE FINITE-DIFFERENCE LATTICE BOLTZMANN METHOD

Gábor Házi ()
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Gábor Házi: Simulator Development Department, KFKI Atomic Energy Research Institute, H-1525 Budapest, Hungary

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 01, 67-73

Abstract: In this paper a finite-difference lattice Boltzmann method is introduced, discretizing the lattice Boltzmann equation by centered-time and centered-space finite differences. It is well known from numerical analysis that such discretization of the derivatives results in numerical dispersion and dissipation. The numerical dispersion is eliminated perfectly by using a fictitious absorption term in the master equation and the dissipation is compensated by solving a second, reference equation and the method of division. As a test problem, the evolution of a decaying Taylor vortex in a 2π periodic domain is studied.

Keywords: Lattice Boltzmann method; numerical dispersion and dissipation (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S012918310200295X

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