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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