论文标题
平滑的粒子流体动力学物理重新考虑 - 与显式大型涡流模拟的关系和粒子双重性问题
Smoothed Particle Hydrodynamics Physically Reconsidered -- The Relation to Explicit Large Eddy Simulation and the Issue of Particle Duality
论文作者
论文摘要
在这项工作中，我们将使用非平衡分子动力学（NEMD）中的粗粒剂方法来确定平滑颗粒流体动力学（SPH）和显式大型涡流模拟（LES）之间的新颖关系。尽管目前的文献指出了特征性SPH问题对亚音速湍流的限制，但我们看到通过显式子滤光器应力（SFS）建模来减轻这些SPH问题的潜力。我们通过对$ re = 10^4 $的各种均质，各向同性湍流（hit）的模拟来验证我们的理论，并将结果与Dairay等人报道的直接数值模拟（DNS）进行了比较。 （2017）。尽管模拟证实了我们的理论，但我们看到了另一个问题，该问题在概念上植根于粒子本身，称为粒子双重性。最后，我们通过将SPH视为湍流的粗粒方法来结束我们的工作，突出了其功能和局限性。
In this work we will identify a novel relation between Smoothed Particle Hydrodynamics (SPH) and explicit Large Eddy Simulation (LES) using a coarse-graining method from Non-Equilibrium Molecular Dynamics (NEMD). While the current literature points at the conclusion that characteristic SPH issues become restrictive for subsonic turbulent flows, we see the potential to mitigate these SPH issues by explicit subfilter stress (SFS) modelling. We verify our theory by various simulations of homogeneous, isotropic turbulence (HIT) at $Re=10^4$ and compare the results to a Direct Numerical Simulation (DNS) reported by Dairay et al. (2017). Although the simulations substantiate our theory, we see another issue arising, which is conceptually rooted in the particle itself, termed as Particle Duality. Finally, we conclude our work by acknowledging SPH as coarse-graining method for turbulent flows, highlighting its capabilities and limitations.
