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Incompressible Navier‐Stokes equation solvers based on lattice Boltzmann relaxation systems
Author(s) -
Banda Mapundi K.,
Seaïd Mohammed,
Teleaga Ioan
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700010
Subject(s) - lattice boltzmann methods , compressibility , relaxation (psychology) , turbulence , boltzmann equation , large eddy simulation , physics , flow (mathematics) , statistical physics , mechanics , classical mechanics , thermodynamics , psychology , social psychology
In this talk some recent numerical results based on discrete‐velocity relaxation systems will be presented. Discrete‐velocity equations are derived from continuous Boltzmann‐type equations with appropriate approximations suitable for incompressible flows. A relaxation system is derived by taking moments of the discrete‐velocity equations. This approach is also extended to turbulence flows using Large‐Eddy Simulation as well as thermal flows. The schemes are tested by solving a collection of examples. In particular the developed methods demonstrate potential as tools for Large‐Eddy Simulation and flow with Radiative Heat transfer. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)