Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems |
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| Authors: | Mapundi K Banda Mohammed Seaïd Ioan Teleaga |
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| Institution: | 1. School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, 3209, South Africa;2. Fachbereich Mathematik, Technische Universität Kaiserslautern, D-67663 Kaiserslautern, Germany;3. Fachbereich Mathematik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany |
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| Abstract: | 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) |
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