A Local Velocity Grid Approach for BGK Equation

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 subset 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [19 references]  Display  Hide  Download

https://hal.inria.fr/hal-01377856
Contributor : Florian Bernard <>
Submitted on : Friday, October 7, 2016 - 5:46:55 PM
Last modification on : Monday, May 27, 2019 - 3:50:15 PM
Long-term archiving on : Friday, February 3, 2017 - 11:52:08 PM

File

local_grids_final.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Florian Bernard, Angelo Iollo, Gabriella Puppo. A Local Velocity Grid Approach for BGK Equation. Communications in Computational Physics, Global Science Press, 2014, 16, pp.956 - 982. ⟨10.4208/cicp.291013.240314a⟩. ⟨hal-01377856⟩

Share

Metrics

Record views

259

Files downloads

297