Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems.

Banda, M.; Seaid, M.; Teleaga, I.

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)

• Presentation Conference Type: Conference Paper (Published)
• Online Publication Date: Feb 29, 2008
• Publication Date: 2008
• Volume: 7
• Pages: 2100001-2100002
• Series Title: Proceedings in Applied Mathematics and Mechanics
• Series Number: 1
• Series ISSN: 1617-7061
• Book Title: Special Issue:Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007
• DOI: https://doi.org/10.1002/pamm.200700010
• Public URL: https://durham-repository.worktribe.com/output/1161457