2018/05/22 by Qing Li, Q. Li, Di Du +8
Engineering · Mathematics · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #Applied mathematics #Basis (linear algebra) #Basis function #Geometry #Heat and Mass Transfer in Porous Media #Lattice Boltzmann Simulation Studies #Lattice Boltzmann methods #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Mechanics #Orthogonal basis #Orthogonal complement #Orthogonal coordinates #Orthogonal matrix #Orthogonal polynomials #Orthogonal transformation #Physics #Pseudopotential #Quantum mechanics #physics.comp-ph
paper · pdf · doi:10.1016/j.compfluid.2019.04.014
published as Computers and Fluids 186 (2019) 128-140 · 28 pages, 10 figures
arxiv created 2018/05/22 · openalex created_date 2018/06/01 · openalex publication_date 2019/04/23 · crossref created 2019/04/23 · crossref issued 2019/05/01 · crossref published 2019/05/01 · crossref published-print 2019/05/01 · crossref deposited 2019/08/06 · arxiv updated 2019/08/14 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/05
In the classical multiple-relaxation-time (MRT) lattice Boltzmann (LB) method, the transformation matrix is formed by constructing a set of orthogonal basis vectors. In this paper, a theoretical and numerical study is performed to investigate the capability and efficiency of a non-orthogonal MRT-LB model for simulating multiphase flows. First, a three-dimensional non-orthogonal MRT-LB is proposed. A non-orthogonal MRT collision operator is devised based on a set of non-orthogonal basis vectors, through which the transformation matrix and its inverse matrix are considerably simplified as compared with those of an orthogonal MRT collision operator. Furthermore, through the Chapman-Enskog analysis, it is theoretically demonstrated that the three-dimensional non-orthogonal MRT-LB model can correctly recover the macroscopic equations at the Navier-Stokes level in the low Mach number limit. Numerical comparisons between the non-orthogonal MRT-LB model and the usual orthogonal MRT-LB model are made by simulating multiphase flows on the basis of the pseudopotential multiphase LB approach. The numerical results show that, in comparison with the usual orthogonal MRT-LB model, the non-orthogonal MRT-LB model can retain the numerical accuracy while simplifying the implementation.