Galilean-invariant lattice-Boltzmann models with H theorem -: art. no. 025103
Galilean-invariant lattice-Boltzmann models with H theorem -: art. no. 025103
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DOI：
10.1103/physreve.68.025103
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发表时间：
2003-08-01
影响因子：
2.4
通讯作者：
Yepez, J
中科院分区：
文献类型：
--
作者：
Boghosian, BM;Love, PJ;Yepez, J
我们证明了伽利略不变性的要求决定了一类熵格子Boltzmann模型的不可压缩Navier-Stokes方程的H函数的选择。所需的H函数具有D=2时的布尔格熵的形式，以及D>2时q=1-（2/D）的Tsallis熵的形式，其中D是空间维数。我们利用这一观察构造一个完全明确的，无条件稳定的，伽利略不变的，格子玻尔兹曼模型的不可压缩Navier-Stokes方程，可达到的雷诺数是有限的，只有网格分辨率。
We demonstrate that the requirement of Galilean invariance determines the choice of H function for a wide class of entropic lattice-Boltzmann models for the incompressible Navier-Stokes equations. The required H function has the form of the Burg entropy for D=2, and of a Tsallis entropy with q=1-(2/D) for D>2, where D is the number of spatial dimensions. We use this observation to construct a fully explicit, unconditionally stable, Galilean-invariant, lattice-Boltzmann model for the incompressible Navier-Stokes equations, for which attainable Reynolds number is limited only by grid resolution.