Multiphysics flow simulations using D3Q19 lattice Boltzmann methods based on central moments

TL;DR

This paper explores using a simplified D3Q19 lattice in central-moments-based lattice Boltzmann methods for multiphysics flow simulations, demonstrating minimal accuracy loss compared to the traditional D3Q27 approach.

Contribution

It introduces a D3Q19 lattice implementation for central-moments LBM and evaluates its performance, showing it maintains accuracy and stability for moderate Reynolds number flows.

Findings

D3Q19 lattice performs comparably to D3Q27 in accuracy.

Reduction to 19 velocities has little impact on stability.

Suitable for multiphysics simulations at moderate Reynolds numbers.

Abstract

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 towards 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 have only little impact on the accuracy and stability of the CM-LBM for moderate Reynolds number flows in the weakly compressible regime.