Highly Efficient Lattice Boltzmann Model for Compressible Fluids:Two-Dimensional Case

CHEN Feng; XU Ai-Guo; ZHANG Guang-Cai; GAN Yan-Biao; CHENG Tao; LI Ying-Jun

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Highly Efficient Lattice Boltzmann Model for Compressible Fluids:Two-Dimensional Case

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摘要

We present a highly efficient lattice Boltzmann model for simulating compressible Hows.This model isbased on the combination of an appropriate finite difference scheme,a 16-discrete-velocity model[Kataoka and Tsutahara,Phys.Rev.E 69(2004)035701(R)]and reasonable dispersion and dissipation terms.The dispersion term effectivelyreduces the oscillation at the discontinuity and enhances numerical precision.The dissipation term makes the new modelmore easily meet with the von Neumann stability condition.This model works for both high-speed and low-speed flowswith arbitrary specific-heat-ratio.With the new model simulation results for the well-known benchmark problems geta high accuracy compared with the analytic or experimental ones.The used benchmark tests include(i)Shock tubessuch as the Sod,Lax,Sjogreen,Colella explosion wave,and collision of two strong shocks,(ii)Regular and Mach shockreflections,and(iii)Shock wave reaction on cylindrical bubble problems.With a more realistic equation of state orfree-energy functional,the new model has the potential tostudy the complex procedure of shock wave reaction on porousmaterials.

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《理论物理通讯：英文版》 |2009年第10期|681-693|共13页
作者
CHEN Feng; XU Ai-Guo; ZHANG Guang-Cai; GAN Yan-Biao; CHENG Tao; LI Ying-Jun;
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作者单位

China University of Mining and Technology （Beijing） Beijing 100083;

China;

National Key Laboratory of Computational Physics;

Institute of Applied Physics and Computational Mathematics;

P.O. Box 8009-26;

Beijing 100088;

China;

North China Institute of Aerospace Engineering;

Langfang 065000;

China;

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原文格式 PDF
正文语种 chi
中图分类流体力学;气体动力学（可压缩流体力学）;
关键词
格子Boltzmann模型; 可压缩流体; 可压缩流动; 案例; 二维; 速度模型; 计算精度; 差分格式;

机译：格子Boltzmann模型;可压缩流体;可压缩流动;案例;二维;速度模型;计算精度;差分格式;

Highly Efficient Lattice Boltzmann Model for Compressible Fluids:Two-Dimensional Case

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