Skip to Main content Skip to Navigation
New interface
Reports (Research report)

A Local Velocity Grid Approach for BGK Equation

Florian Bernard 1, 2, 3, * Angelo Iollo 2, 3 Gabriella Puppo 4 
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.
Document type :
Reports (Research report)
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download
Contributor : Florian Bernard Connect in order to contact the contributor
Submitted on : Thursday, February 13, 2014 - 10:09:55 AM
Last modification on : Monday, November 28, 2022 - 6:22:04 PM
Long-term archiving on: : Tuesday, May 13, 2014 - 10:30:56 PM


Files produced by the author(s)


  • HAL Id : hal-00945835, version 1



Florian Bernard, Angelo Iollo, Gabriella Puppo. A Local Velocity Grid Approach for BGK Equation. [Research Report] RR-8472, INRIA. 2014. ⟨hal-00945835⟩



Record views


Files downloads