论文标题
使用D3Q19的多物理流量模拟基于中央矩的晶格玻尔兹曼方法
Multiphysics flow simulations using D3Q19 lattice Boltzmann methods based on central moments
论文作者
论文摘要
在最近的一项工作中[A。 De Rosis，R。Huang和C. Coreixas，“基于中央词的晶格Boltzmann方法的普遍配方，具有外部强迫，以模拟多物理现象”，物理。流体31，117102（2019）]，通过D3Q27离散化提出了多余的晶格boltzmann方法（LBM），其中碰撞阶段是在中央矩（CMS）的空间中进行的。这些数量朝着优雅的伽利亚不变平衡而放松，还可以包括外部加速度的效果。在这里，我们调查了仅采用由19个离散速度组成的更粗的晶格的可能性。这种选择的后果是根据基于单相，多相和磁流失动力学流量模拟的多个物理基准问题来评估准确性和稳定性的。最后，结果表明，从27个离散速度减少到19个离散速度对中等雷诺数的CM-LBM的准确性和稳定性几乎没有影响。
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.
