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Author(s):
Toelke, J.; Krafczyk, M.; Schulz, M.; Rank, E.; Berrios, R. 
Title:
Implicit discretization and non-uniform mesh refinement approaches for FD discretization of LBGK-Models 
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 non-uniform mesh refinement (with...    »
 
Keywords:
Lattice Boltzmann; hydrodynamics; boundary layer problem; implicit discretization 
Book / Congress title:
International Journal of Modern Physics C: Physics and Computers (Accepted) 
Year:
1998