Lattice Boltzmann Method for Computational Fluid Dynamics
Lattice Boltzmann Method for Computational Fluid Dynamics
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DOI：
10.1002/9780470686652.eae064
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发表时间：
2010-12
期刊：
影响因子：
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通讯作者：
Li-Shi Luo;M. Krafczyk;W. Shyy
中科院分区：
文献类型：
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作者：
Li-Shi Luo;M. Krafczyk;W. Shyy
本文简要介绍了晶格玻尔兹曼方程的数学理论及其在计算流体动力学（CFD）中的应用。晶格玻尔兹曼方法源于玻尔兹曼方程，因此区别于任何基于Navier-Stokes方程直接离散化的传统CFD方法。给出了近似不可压缩流的晶格玻尔兹曼方法。我们将展示一些例子来展示晶格玻尔兹曼方法的技术和能力。示例包括衰减均匀湍流的直接数值模拟，通过球体的大涡流模拟，流体中的悬浮物，在表面上移动的液滴，以及通过多孔介质的多组分流动。本章最后对今后的工作进行了展望。关键词：晶格Boltzmann方程；不可压缩流;DNS;莱斯;液体中的悬浮液；多组分的流动;多孔介质中的复杂流动
This article provides a concise survey of the lattice Boltzmann equation: its mathematical theory and its capabilities for applications in computational fluid dynamics (CFD). The lattice Boltzmann method stems from the Boltzmann equation, and thus differentiates from any conventional method for CFD based on direct discretizations of the Navier–Stokes equations. The lattice Boltzmann method is formulated for near incompressible flows. We will show some examples to demonstrate the state of the art and capabilities of the lattice Boltzmann method. The examples include direct numerical simulations of decaying homogeneous turbulence, large eddy simulations of flows past a sphere, suspensions in fluid, a droplet moving on a surface, and multi-component flows through porous media. The chapter is concluded with an outlook of future work. Keywords: Lattice Boltzmann equation; incompressible flows; DNS; LES; Suspensions in fluid; multi-component flows; complex flows through porous media