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 Tsutahar...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.展开更多
基金Supported by the Science Foundations of LCP and CAEP under Grant Nos.2009A0102005 and 2009B0101012the National Basic Research Program (973 Program) under Grant No.2007CB815105the National Natural Science Foundation under Grant Nos.10775018,10702010,and 10775088
文摘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.
