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
We further develop the lattice Boltzmann (LB) model [Physica A 382 (2007) 502] for compressible flows fromtwo aspects.Firstly,we modify the Bhatnagar-Gross-Krook (BGK) collision term in the LB equation,which makes the...We further develop the lattice Boltzmann (LB) model [Physica A 382 (2007) 502] for compressible flows fromtwo aspects.Firstly,we modify the Bhatnagar-Gross-Krook (BGK) collision term in the LB equation,which makes themodel suitable for simulating flows with different Prandtl numbers.Secondly,the flux limiter finite difference (FLFD)scheme is employed to calculate the convection term of the LB equation,which makes the unphysical oscillations atdiscontinuities be effectively suppressed and the numerical dissipations be significantly diminished.The proposed modelis validated by recovering results of some well-known benchmarks,including (i) The thermal Couette Row;(ii) One- andtwo-dimensional Riemann problems.Good agreements are obtained between LB results and the exact ones or previouslyreported solutions.The Rexibility,together with the high accuracy of the new model,endows the proposed modelconsiderable potential for tracking some long-standing problems and for investigating nonlinear nonequilibrium complexsystems.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.
基金Supported by the Science Foundations of LCP and CAEP under Grant Nos. 2009A0102005 and 2009B0101012National Natural Science Foundation of China under Grant Nos. 11075021, 11074300, and 11074303+3 种基金National Basic Research Program (973 Program) under Grant No. 2007CB815105Fundamental Research Funds for the Central University under Grant No. 2010YS03Technology Support Program of LangFang under Grant Nos. 2010011029/30/31Science Foundation of NCIAE under Grant No. 2008-ky-13
文摘We further develop the lattice Boltzmann (LB) model [Physica A 382 (2007) 502] for compressible flows fromtwo aspects.Firstly,we modify the Bhatnagar-Gross-Krook (BGK) collision term in the LB equation,which makes themodel suitable for simulating flows with different Prandtl numbers.Secondly,the flux limiter finite difference (FLFD)scheme is employed to calculate the convection term of the LB equation,which makes the unphysical oscillations atdiscontinuities be effectively suppressed and the numerical dissipations be significantly diminished.The proposed modelis validated by recovering results of some well-known benchmarks,including (i) The thermal Couette Row;(ii) One- andtwo-dimensional Riemann problems.Good agreements are obtained between LB results and the exact ones or previouslyreported solutions.The Rexibility,together with the high accuracy of the new model,endows the proposed modelconsiderable potential for tracking some long-standing problems and for investigating nonlinear nonequilibrium complexsystems.
