A new discrete velocity method for Navier-Stokes equations

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

1999-07-22

arxiv.org/abs/comp-gas/9907001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

28 pages, 8 figures

Scientific paper

10.1006/jcph.1999.6336

The relation between Latttice Boltzmann Method, which has recently 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 the Navier-Stokes equations for incompressible fluid flow 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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