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A Local Velocity Grid Approach for BGK Equation

Published online by Cambridge University Press:  03 June 2015

Florian Bernard ,
Angelo Iollo  and
Gabriella Puppo
Florian Bernard*
Affiliation:
Department of Mechanical and Aerospace Engineering, Politecnico di Torino, 10129 Torino, Italy Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France. INRIA, F-33400 Talence, France
Angelo Iollo*
Affiliation:
Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France. INRIA, F-33400 Talence, France
Gabriella Puppo*
Affiliation:
Dip. di Scienza ed Alta Tecnologia, Università dell’Insubria, Como, Italy
*
Corresponding author.Email:florian.bernard@polito.it
Email:angelo.iollo@math.u-bordeaux1.fr
Email:gabriella.puppo@uninsubria.it
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Abstract

The solution of complex rarefied flows with the BGK equation and the Discrete Velocity Method (DVM) requires a large number of velocity grid points leading to significant computational costs. We propose an adaptive velocity grid approach exploiting the fact that locally in space, the distribution function is supported only by a sub-set of the global velocity grid. The velocity grid is adapted thanks to criteria based on local temperature, velocity and on the enforcement of mass conservation. Simulations in 1D and 2D are presented for different Knudsen numbers and compared to a global velocity grid BGK solution, showing the computational gain of the proposed approach.

Keywords

76P05Kinetic modelsBGK modeldiscrete velocity method
Type
Research Article
Information
Communications in Computational Physics , Volume 16 , Issue 4 , October 2014 , pp. 956 - 982
Copyright
Copyright © Global Science Press Limited 2014

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