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A Local Velocity Grid Approach for BGK Equation

Published online by Cambridge University Press:  03 June 2015

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
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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.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2014

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