A Local Velocity Grid Approach for BGK Equation
type: Dataset
description: 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.
identifier: Report N°: RR-8472
issued: 2026-05-06T15:14:59.724187
language: en
modified: 2026-05-06T15:14:59.724194
contact point: Organization
  fn: CCSD
keyword: asymptotic-preserving-schemes
keyword: bgk-model
keyword: boltzmann-equation
keyword: cartesian-grid
keyword: infoeu-reposemanticsreport
keyword: infoinfo-mocomputer-science-csmodeling-and-simulation
keyword: reports
landing page: https://inria.hal.science/hal-00945835

A Local Velocity Grid Approach for BGK Equation
type: Distribution
format: HTML
issued: 2026-05-06T15:14:59.732894
modified: 2026-05-06T15:14:59.705126
access URL: https://inria.hal.science/hal-00945835

test_moissonnage_selune
type: Agent