Entropy stability analysis of smoothed dissipative particle dynamics
Entropy stability analysis of smoothed dissipative particle dynamics
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DOI：
10.1088/2399-6528/ab5421
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发表时间：
2019-05
影响因子：
1.2
通讯作者：
Satori Tsuzuki
中科院分区：
文献类型：
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作者：
Satori Tsuzuki
本文对光滑耗散粒子动力学（SDPD）的熵稳定性进行了分析，以验证熵方程的粒子离散化的有效性。首先，我们考虑最简单的SDPD系统：使用显式时间积分方案模拟不可压缩流动，假设具有恒定体积，恒定数量的粒子和无限小时移的准静态场景。接下来，我们通过对SDPD的离散熵方程对时间积分，推导出熵的一种形式。然后，我们研究了恒温梯度下双粒子系统的性质。有趣的是，我们的理论分析表明，存在八种不同类型的熵稳定条件，这取决于核函数的类型。结果表明，Lucy核、poly6核和spiky核产生的熵稳定条件类型相同，而样条核产生的熵稳定条件类型不同。我们的结果有助于更深入地理解粒子离散化。
This article presents an entropy stability analysis of smoothed dissipative particle dynamics (SDPD) to review the validity of particle discretization of entropy equations. First, we consider the simplest SDPD system: a simulation of incompressible flows using an explicit time integration scheme, assuming a quasi-static scenario with constant volume, constant number of particles, and infinitesimal time shift. Next, we derive a form of entropy from the discretized entropy equation of SDPD by integrating it with respect to time. We then examine the properties of a two-particle system for a constant temperature gradient. Interestingly, our theoretical analysis suggests that there exist eight different types of entropy stability conditions, which depend on the types of kernel functions. It is found that the Lucy kernel, poly6 kernel, and spiky kernel produce the same types of entropy stability conditions, whereas the spline kernel produces different types of entropy stability conditions. Our results contribute to a deeper understanding of particle discretization.