Multiphysics flow simulations using D3Q19 lattice Boltzmann methods based on central moments
Multiphysics flow simulations using D3Q19 lattice Boltzmann methods based on central moments
复制标题
DOI：
10.1063/5.0026316
复制
发表时间：
2020-11-01
影响因子：
4.6
通讯作者：
Coreixas, Christophe
中科院分区：
文献类型：
--
作者：
De Rosis, Alessandro;Coreixas, Christophe
在最近的工作[A。德罗西斯河Huang和C. Coreixas，“Universal formulation of central-moments-based lattice Boltzmann method with external forcing for the simulation of multiphysics phenomenon”，Phys. Fluids 31，117102（2019）]，一种多松弛时间格子Boltzmann方法（LBM）已经通过D3 Q27离散化提出，其中碰撞阶段在中心矩（CM）空间中进行。这些量向一个优雅的伽利略不变平衡放松，也可以包括外部加速度的影响。在这里，我们调查的可能性，采用一个粗糙的晶格组成的19个离散的速度。这样的选择的后果进行评估的准确性和稳定性，通过多物理基准问题的基础上，单，多相，磁流体力学流动模拟。最后，结果表明，对于弱可压缩区域中的中等雷诺数流动，离散速度从27个减少到19个对CM-LBM的准确性和稳定性影响很小。
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.