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 Filbet | 1 | 271 | 37.95 |
Thomas Rey | 2 | 12 | 3.51 |