Locally refined discrete velocity grids for stationary rarefied flow simulations
Abstract
Most of deterministic solvers for rarefied gas dynamics use discrete velocity (or discrete ordinate) approximations of the distribution function on a Cartesian grid. This grid must be sufficiently large and fine to describe the distribution functions at every space position in the computational domain. For 3-dimensional hypersonic flows, like in re-entry problems, this induces much too dense velocity grids that cannot be practically used, for memory storage requirements. In this article, we present an approach to generate automatically a locally refined velocity grid adapted to a given simulation. This grid contains much less points than a standard Cartesian grid and allows us to make realistic 3-dimensional simulations at a reduced cost, with a comparable accuracy.
Keywords
Cite
@article{arxiv.1304.5611,
title = {Locally refined discrete velocity grids for stationary rarefied flow simulations},
author = {Céline Baranger and Jean Claudel and Nicolas Hérouard and Luc Mieussens},
journal= {arXiv preprint arXiv:1304.5611},
year = {2014}
}
Comments
Revised version (new material: a section on the numerical boundary conditions, some minor modifications)