## A new discrete velocity method for Navier-Stokes equations

• The relation between the Lattice Boltzmann Method, which has re- cently become popular, and the Kinetic Schemes, which are routinely used in Computational Fluid Dynamics, is explored. A new discrete velocity model for the numerical solution of Navier-Stokes equations for incom- pressible uid ow is presented by combining both the approaches. The new scheme can be interpreted as a pseudo-compressibility method and, for a particular choice of parameters, this interpretation carries over to the Lattice Boltzmann Method.

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Author: Michael Junk, S. V. Raghurama Rao urn:nbn:de:hbz:386-kluedo-8123 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (15) Preprint English 1999 1999 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 1999/09/20 Computational Fluid Dynamics ; Kinetic Schemes ; Lattice Boltzmann Method ; Navier-Stokes equations ; pseudo-compressibility method Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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