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A Local Velocity Grid Approach for BGK Equation

Florian Bernard 1, 2, 3, * Angelo Iollo 2, 3 Gabriella Puppo 4
* Corresponding author
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : Solving complex flows with BGK equation and the Discrete Velocity Method (DVM), may require a large number of velocity grid points and hence the resolution becomes very slow. However, locally, in each space cell, the distribution function is supported only on a sub-set of the velocity grid and is zero elsewhere. Thus, solving the equation for such velocities is useless. A local adaptive velocity grid approach is proposed and compared to a "global velocity grid" BGK solution. Simulations in 1D and 2D are presented for different Knudsen numbers showing the computational gain of the proposed approach.
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https://hal.inria.fr/hal-00945835
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Submitted on : Thursday, February 13, 2014 - 10:09:55 AM
Last modification on : Thursday, February 11, 2021 - 2:54:02 PM
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Florian Bernard, Angelo Iollo, Gabriella Puppo. A Local Velocity Grid Approach for BGK Equation. [Research Report] RR-8472, INRIA. 2014. ⟨hal-00945835⟩

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