Preconditioned lattice-Boltzmann method for steady flows
Preconditioned lattice-Boltzmann method for steady flows
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DOI：
10.1103/physreve.70.066706
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发表时间：
2004-12-01
影响因子：
2.4
通讯作者：
Shi, Y
中科院分区：
文献类型：
--
作者：
Guo, ZL;Zhao, TS;Shi, Y
在本文中，我们提出了一种用于稳定不可压缩流的预处理格子玻尔兹曼（LB）方法。对于稳定流，从此 LB 模型导出的宏观方程与标准 LB 模型的宏观方程等效，但具有改进的特征值系统。所提出的模型可以被视为预处理可压缩纳维-斯托克斯方程的显式求解器。进行线性稳定性分析，结果表明，低马赫数下模型的稳定性与标准LB模型相同。所提出的模型保留了标准 LB 模型的结构，因此具有所有优点。数值测试表明，与标准格子Boltzmann方法相比，收敛速度可提高一个数量级。解决方案的准确性也得到提高。
In this paper we propose a preconditioned lattice Boltzmann (LB) method for steady incompressible flows. For steady flows, the macroscopic equations derived from this LB model are equivalent to those from the standard LB model, but with an improved eigenvalue system. The proposed model can be viewed as an explicit solver for preconditioned compressible Navier-Stokes equations. Linear stability analysis is performed and the results show that the stability of the model is the same as that of the standard LB model for low Mach numbers. The proposed model retains the structure of the standard LB model and, hence, possesses all the advantages. Numerical tests show that the convergence rate can be enhanced as much as an order of magnitude compared to the standard lattice Boltzmann method. The accuracy of the solutions is improved as well.