Implicit discretization and nonuniform mesh refinement approaches for FD discretizations of LBGK Models

Jonas Tölke, Manfred Krafczyk (), Manuel Schulz, Ernst Rank and Rodolfo Berrios
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Jonas Tölke: Lst. Bauinformatik, Techn. Univ. München, Arcisstr. 21, D-80290, Germany
Manfred Krafczyk: Lst. Bauinformatik, Techn. Univ. München, Arcisstr. 21, D-80290, Germany
Manuel Schulz: Lst. Bauinformatik, Techn. Univ. München, Arcisstr. 21, D-80290, Germany
Ernst Rank: Lst. Bauinformatik, Techn. Univ. München, Arcisstr. 21, D-80290, Germany
Rodolfo Berrios: Esc. Ing. Mec., Universidad Central de Venezuela, Caracas, Los Chaguaramos, Caracas, Venezuela

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 08, 1143-1157

Abstract: After a short discussion of recent discretization techniques for the lattice-Boltzmann equations we motivate and discuss some alternative approaches using implicit, nonuniform FD discretization and mesh refinement techniques. After presenting results of a stability analysis we use an implicit approach to simulate a boundary layer test problem. The numerical results compare well to the reference solution when using strongly refined meshes. Some basic ideas for a nonuniform mesh refinement (with non-cartesian mesh topology) are introduced using the standard discretization procedure of alternating collision and propagation.

Keywords: Lattice-Boltzmann; Hydrodynamics; Boundary Layer Problem; Implicit Discretization (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198001059

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