TY - JOUR
T1 - A Local Velocity Grid Approach for BGK Equation
AU - Florian Bernard, Angelo Iollo & Gabriella Puppo
JO - Communications in Computational Physics
VL - 4
SP - 956
EP - 982
PY - 2014
DA - 2014/10
SN - 16
DO - http://doi.org/10.4208/cicp.291013.240314a
UR - https://global-sci.org/intro/article_detail/cicp/7068.html
KW - 
AB - <p style="text-align: justify;">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.</p>