TY - JOUR
T1 - Multiphysics flow simulations using D3Q19 lattice Boltzmann methods based on central moments
AU - De Rosis, Alessandro
AU - Coreixas, Christophe
N1 - Funding Information:
A.D.R. would like to acknowledge support from the UK Engineering and Physical Sciences Research Council under the project UK Consortium on Mesoscale Engineering Sciences (UKCOMES) (Grant Nos. EP/R029598/1 and EP/P022243/1).
Publisher Copyright:
© 2020 Author(s).
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/11/2
Y1 - 2020/11/2
N2 - In a recent work [A. De Rosis, R. Huang, and C. Coreixas, "Universal formulation of central-moments-based lattice Boltzmann method with external forcing for the simulation of multiphysics phenomena,"Phys. Fluids 31, 117102 (2019)], a multiple-relaxation-time lattice Boltzmann method (LBM) has been proposed by means of the D3Q27 discretization, where the collision stage is performed in the space of central moments (CMs). These quantities relax toward an elegant Galilean invariant equilibrium and can also include the effect of external accelerations. Here, we investigate the possibility to adopt a coarser lattice composed of 19 discrete velocities only. The consequences of such a choice are evaluated in terms of accuracy and stability through multiphysics benchmark problems based on single-, multi-phase, and magnetohydrodynamics flow simulations. In the end, it is shown that the reduction from 27 to 19 discrete velocities has only little impact on the accuracy and stability of the CM-LBM for moderate Reynolds number flows in the weakly compressible regime.
AB - In a recent work [A. De Rosis, R. Huang, and C. Coreixas, "Universal formulation of central-moments-based lattice Boltzmann method with external forcing for the simulation of multiphysics phenomena,"Phys. Fluids 31, 117102 (2019)], a multiple-relaxation-time lattice Boltzmann method (LBM) has been proposed by means of the D3Q27 discretization, where the collision stage is performed in the space of central moments (CMs). These quantities relax toward an elegant Galilean invariant equilibrium and can also include the effect of external accelerations. Here, we investigate the possibility to adopt a coarser lattice composed of 19 discrete velocities only. The consequences of such a choice are evaluated in terms of accuracy and stability through multiphysics benchmark problems based on single-, multi-phase, and magnetohydrodynamics flow simulations. In the end, it is shown that the reduction from 27 to 19 discrete velocities has only little impact on the accuracy and stability of the CM-LBM for moderate Reynolds number flows in the weakly compressible regime.
U2 - 10.1063/5.0026316
DO - 10.1063/5.0026316
M3 - Article
AN - SCOPUS:85095744854
SN - 1070-6631
VL - 32
JO - Physics of Fluids
JF - Physics of Fluids
IS - 11
M1 - 117101
ER -