论文标题
根据粒子水平冲动的时间尺度校正，通过源术语来提高移动粒子半密度法的稳定性
Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses
论文作者
论文摘要
本文的目的是研究通过基于投影的粒子方法的不可压缩流量建模的压力计算的不稳定性质。提出了一种新的方法，即有关粒子级碰撞的动量保护的原始观点，以下是粒子水平冲动（TCPI）的时间尺度校正，以得出压力泊松方程（PPE）的新来源条款。这会导致更稳定的计算，随着非物理压力振荡的急剧减少和更健壮的模拟，压力大小几乎独立于时间步骤。此外，与其他策略相比，不需要额外的计算工作，其实现非常简单，唯一的数值参数是扰动的传播速度，由于其物理含义，校准更加简单。使用拟议方法改进的移动粒子半图像（MPS）方法进行了模拟。计算结果与理论和实验结果的比较证实了所提出方法的有效性。
The aim of this paper is to investigate the unstable nature of pressure computation focusing on incompressible flow modeling through the projection-based particle methods. A new approach from the original viewpoint of the momentum conservation regarding particle-level collisions, hereinafter refered to as time-scale correction of particle-level impulses (TCPI), is proposed to derive new source terms of pressure Poisson equation (PPE). This results in more stable computations with drastic reduction of unphysical pressure oscillations and more robust simulation with pressure magnitudes almost independent to time step. Moreover, compared to other strategies, no additional computational effort is required, its implementation is extremely simple, and the only numerical parameter is the propagation speed of the perturbations, of which the calibration is much more straightforward due to its physical meaning. Simulations were carried out using moving particle semi-implicit (MPS) method improved by the proposed approach. The comparisons of computed results with theoretical and experimental ones confirmed the effectiveness of the proposed approach.
