Li, Q;
Du, DH;
Fei, LL;
Luo, KH;
(2019)
Three-dimensional non-orthogonal MRT pseudopotential lattice Boltzmann model for multiphase flows.
Computers & Fluids
, 186
pp. 128-140.
10.1016/j.compfluid.2019.04.014.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Three-dimensional non-orthogonal MRT pseudopotential lattice Boltzmann model for multiphase flows |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.compfluid.2019.04.014 |
| Publisher version: | https://doi.org/10.1016/j.compfluid.2019.04.014 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Lattice Boltzmann model, Non-orthogonal, Multiple-relaxation-time, Multiphase flows |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10076000 |
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