格子玻尔兹曼理论的熵与伽利略不变性。
Entropy and Galilean invariance of lattice Boltzmann theories.
作者信息
Chikatamarla Shyam S, Karlin Iliya V
机构信息
Aerothermochemistry and Combustion Systems Laboratory, ETH Zurich, 8092 Zurich, Switzerland.
出版信息
Phys Rev Lett. 2006 Nov 10;97(19):190601. doi: 10.1103/PhysRevLett.97.190601.
Abstract
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.
摘要
基于熵构造与埃尔米特多项式根之间的一种新关系，发展了一种用于流体动力学模拟的格子玻尔兹曼（LB）模型理论。描述了一种构建数值稳定且完整的伽利略不变LB模型的系统程序。通过激波管模拟说明了新LB模型的稳定性。
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