文章基本信息

标题：A Two-Dimensional Lattice Boltzmann Method For Compressible Flows
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作者：Gu Xuana ; He Zheng ; Sun Xiaoyu 等
期刊名称：Acta Informatica Malaysia
印刷版ISSN：2521-0874
电子版ISSN：2521-0505
出版年度：2017
卷号：1
期号：1
页码：32-35
DOI：10.26480/aim.01.2017.32.35
出版社：Zibeline International
摘要：In this paper we present an improved lattice Boltzmann model for compressible Navier–Stokes system with high Mach number.The model is composed of three components: (i) the discrete-velocity-model by M. Watari and M. Tsutahara [Phys. Rev. E 67(2003) 036306], (ii) a modified Lax–Wendroff finite difference scheme where reasonable dissipation and dispersion are naturallyincluded, (iii) artificial viscosity. The improved model is convenient to compromise thehigh accuracy and stability. The includeddispersion term can effectively reduce the numerical oscillation at discontinuity. The added artificial viscosity helps the schemeto satisfy the von Neumann stability condition. Shock tubes and shock reflections are used to validate the new scheme. In ournumerical tests the Mach numbers are successfully increased up to 20 or higher. The flexibility of the new model makes it suitablefor tracking shock waveswith high accuracy and for investigating nonlinear nonequilibrium complex systems.
关键词：Lattice Boltzmann method; Compressible flows; von Neumann analysis