Entropy and Galilean invariance of lattice Boltzmann theories

被引：138
|
作者：
Chikatamarla, Shyam S. [1 ]
Karlin, Iliya V. [1 ]
机构：
[1] ETH, Aerothermochem & Combust Syst Lab, CH-8092 Zurich, Switzerland
来源：
PHYSICAL REVIEW LETTERS | 2006年 / 97卷 / 19期
关键词：
D O I：
10.1103/PhysRevLett.97.190601
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.
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页数：4
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