A Hierarchy of Hybrid Numerical Methods for Multi-Scale Kinetic Equations
Numerical Analysis
2014-03-13 v2
Abstract
In this paper, we construct a hierarchy of hybrid numerical methods for multi-scale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Morokoff and Nadiga. Following such a criterion, one can consider hybrid scheme where the hydrodynamic part is given either by the compressible Euler or Navier-Stokes equations, or even with more general models, such as the Burnett or super-Burnett systems.
Keywords
Cite
@article{arxiv.1402.6304,
title = {A Hierarchy of Hybrid Numerical Methods for Multi-Scale Kinetic Equations},
author = {Francis Filbet and Thomas Rey},
journal= {arXiv preprint arXiv:1402.6304},
year = {2014}
}
Comments
27 pages, edit: typo and metadata change