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Stabilization and smoothing of pressure in MPS method by Quasi-Compressibility

机译：MPS方法中拟压缩的压力稳定和平滑

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摘要

In this paper, a method to stabilize simulations and suppress the pressure oscillation in Moving Particle Semi-implicit method for an incompressible fluid is presented. To make the pressure smooth in terms of both of space and time, a new representation of the incompressible condition is proposed. The incompressible condition consists of two parts: the Divergence-Free condition and the Particle Number Density condition. The Divergence-Free condition has the effect of making the pressure smooth in terms of both space and time. The Particle Number Density condition is necessary to keep the fluid volume constant. In this work, the Quasi-Compressibility is also introduced for stabilization. A dam break is simulated more stably and the space distribution and the time variation of pressure are evaluated more smoothly than the traditional method. Moreover, surface particles are detected more accurately. Nevertheless the proposed method is computationally cheaper. Some simulations such as a Fluid-Structure Interaction are supposed to be more accurate using this method.
机译：本文提出了一种稳定模拟并抑制不可压缩流体运动颗粒半隐式方法中压力波动的方法。为了使压力在时间和空间上都平滑，提出了不可压缩状态的新表示。不可压缩条件包括两部分：无散度条件和粒子数密度条件。无散度条件具有使压力在时间和空间上均平滑的效果。要保持流体体积恒定，必须使用“粒子数密度”条件。在这项工作中，还引入了准可压缩性以稳定化。与传统方法相比，大坝溃坝的模拟更加稳定，并且空间分布和压力的时间变化也更加平稳。此外，可以更准确地检测表面颗粒。然而，所提出的方法在计算上更便宜。使用此方法，某些模拟（例如流固耦合）应该更准确。

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