Consistent initial conditions for lattice Boltzmann simulations
Consistent initial conditions for lattice Boltzmann simulations
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DOI：
10.1016/j.compfluid.2005.08.008
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发表时间：
2006-09
影响因子：
2.8
通讯作者：
R. Mei;Li-Shi Luo;P. Lallemand;D. d'Humières
中科院分区：
文献类型：
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作者：
R. Mei;Li-Shi Luo;P. Lallemand;D. d'Humières
我们提出了一个简单而有效的迭代程序来产生一致的初始条件的格子玻尔兹曼方程（LBE）的不可压缩流与一个给定的初始速度场u 0。利用Chapman-Enskog分析表明，该方法不仅能有效地求解压力场p0对应于u 0的Poisson方程，而且能同时以一致的方式生成非平衡分布函数{fα}的初值.这个过程是验证衰减泰勒-格林涡流在两个维度，并被证明是特别有效的，当使用广义LBE与多个松弛时间。
We propose a simple and effective iterative procedure to generate consistent initial conditions for the lattice Boltzmann equation (LBE) for incompressible flows with a given initial velocity field u0. Using the Chapman-Enskog analysis we show that not only the proposed procedure effectively solves the Poisson equation for the pressure field p0corresponding to u0, it also generates at the same time the initial values for the nonequilibrium distribution functions {fα} in a consistent manner. This procedure is validated for the decaying Taylor–Green vortex flow in two dimensions and is shown to be particularly effective when using the generalized LBE with multiple relaxation times.