Title
A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations.
Abstract
In this paper, we construct a hierarchy of hybrid numerical methods for multiscale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Morokoff, and Nadiga in [Phys. Fluids, 10 (1998), pp. 3214-3226]. Following such a criterion, one can consider a 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.
Year
DOI
Venue
2015
10.1137/140958773
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
Field
DocType
Boltzmann equation,fluid description,compressible Euler,compressible Navier-Stokes,Burnett transport coefficients,hybrid numerical method,domain decomposition
Compressibility,Boltzmann equation,Mathematical optimization,Mathematical analysis,Matrix (mathematics),Euler's formula,Hierarchy,Numerical analysis,Domain decomposition methods,Mathematics,Realizability
Journal
Volume
Issue
ISSN
37
3
1064-8275
Citations 
PageRank 
References 
2
0.42
7
Authors
2
Name
Order
Citations
PageRank
Francis Filbet127137.95
Thomas Rey2123.51