Transition from Kinetic theory to macroscopic fluid equations: A problem for domain decomposition and a source for new algorithms
作者:
A. Klar,
H. Neunzert,
J. Struckmeier,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 2000)
卷期:
Volume 29,
issue 1-2
页码: 93-106
ISSN:0041-1450
年代: 2000
DOI:10.1080/00411450008205862
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In the paper we give a survey on the transition from kinetic theory to macroscopic fluid equations, where the macroscopic equations are defined as asymptotic limits of a kinetic equation. This relation can be used to derive computationally efficient domain decomposition schemes for the simulation of rarefied gas flows close to the continuum limit. Moreover, we present some basic ideas for the derivation of kinetic induced numerical schemes for macroscopic equations, namely kinetic schemes for general conservation laws as well as Lattice—Boltzmann methods for the incompressible Navier—Stokes equations.
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