Volume 16, Issue 4
A Local Velocity Grid Approach for BGK Equation

Florian Bernard, Angelo Iollo & Gabriella Puppo

Commun. Comput. Phys., 16 (2014), pp. 956-982.

Published online: 2014-10

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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.

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@Article{CiCP-16-956, author = {}, title = {A Local Velocity Grid Approach for BGK Equation}, journal = {Communications in Computational Physics}, year = {2014}, volume = {16}, number = {4}, pages = {956--982}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.291013.240314a}, url = {http://global-sci.org/intro/article_detail/cicp/7068.html} }
TY - JOUR T1 - A Local Velocity Grid Approach for BGK Equation JO - Communications in Computational Physics VL - 4 SP - 956 EP - 982 PY - 2014 DA - 2014/10 SN - 16 DO - http://dor.org/10.4208/cicp.291013.240314a UR - https://global-sci.org/intro/article_detail/cicp/7068.html KW - AB -

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.

Florian Bernard, Angelo Iollo & Gabriella Puppo. (2020). A Local Velocity Grid Approach for BGK Equation. Communications in Computational Physics. 16 (4). 956-982. doi:10.4208/cicp.291013.240314a
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