A factorized central moment lattice Boltzmann method
A factorized central moment lattice Boltzmann method
复制标题
DOI：
10.1140/epjst/e2009-01011-1
复制
发表时间：
2009-04-01
影响因子：
2.8
通讯作者：
Korvink, J. G.
中科院分区：
文献类型：
--
作者：
Geier, M.;Greiner, A.;Korvink, J. G.
我们确定适当的吸引子高于三阶中心矩的松弛过程中的三维格子玻尔兹曼方法。先前假设，这些时刻的松弛的适当吸引子是从麦克斯韦-玻尔兹曼分布导出的它们的平衡值。然而，当四阶中心矩的吸引子以这种方式导出时，三维格子玻尔兹曼的解与简单测试情况下的Navier-Stokes方程的解析解（如Poiffille流）有很大不同。我们表明，Navier-Stokes解恢复时，我们选择的产品的低阶中心矩作为吸引子的高阶中心矩。
We determine appropriate attractors for higher than third-order central moments for the relaxation process in three-dimensional lattice Boltzmann methods. It was previously assumed that the appropriate attractors for the relaxation of these moments were their equilibria values as derived from a Maxwell-Boltzmann distribution. However, when the attractor for fourth-order central moments is derived that way, the solution of three-dimensional lattice Boltzmann differs significantly from the analytical solution of the Navier-Stokes equation for simple test cases like Poiseuille flow. We show that the Navier-Stokes solution is recovered when we chose products of low order central moments as the attractors of the higher order central moments.