Three-dimensional Free-parameter Multiple-Relaxation-Time Lattice Boltzmann Method for Navier-Stokes Equations
A three-dimensional(3D)free-parameter multiple-relaxation-time lattice Boltzmann method for high speed compressible and low speed incompressible flows is presented.In this approach the transformation matrix is constructed according to the irreducible representation basis functions of SO(3)group.Equilibria of the nonconserved moments are chosen so as to recover the compressible Navier-Stokes equations through the Chapman-Enskog analysis.The sizes of the discrete velocities are flexible.The influence of model parameters on the numerical stability is analyzed,and some reference values of parameters are suggested.To validate the performance of the proposed model,well-known benchmark problems are simulated.The numerical results are found to be in good agreement with the analytical solutions and/or other numerical results.
lattice Boltzmann method compressible flows multiple-relaxation-time free-parameter
Feng Chen Aiguo Xu Guangcai Zhang
Shan Dong Jiaotong University,Jinan 250357,China National Key Laboratory of Computational Physics,Institute of Applied Physics and Computational Math
国内会议
辽宁丹东
英文
1-4
2016-08-05（万方平台首次上网日期，不代表论文的发表时间）