Enhancement of performance and stability of MPS mesh-free particle method for multiphase flows characterized by high density ratios
Enhancement of performance and stability of MPS mesh-free particle method for multiphase flows characterized by high density ratios
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DOI：
10.1016/j.jcp.2013.02.002
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
Abbas Khayyer;H. Gotoh
中科院分区：
文献类型：
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作者：
Abbas Khayyer;H. Gotoh
提出了一种用于模拟高密度比多相流的增强稳定化MPS（Moving Particle Semi-implicit）方法。所开发的方法受益于四个先前开发的方案[1]，以及一个新的提出的准确，一致的建模密度在相界面。新的计划可以被认为是一个常用的密度平滑计划的扩展版本，并保持空间密度变化的锐度，同时提高模拟的稳定性和性能。此外，本文强调了在多相MPS-based模拟中应用泰勒级数一致性方案计算压力梯度的重要性。通过提出一个简单的扰动分析，它表明，一些常用的基于MPS的压力梯度模型是容易增加的非物理扰动的水平在相界面导致数值不稳定性。具有梯度校正的原始MPS梯度模型[1]显示出即使在以高密度比为特征的剧烈多相流的情况下也能提供稳定和准确的结果。
The paper presents an enhanced stabilized MPS (Moving Particle Semi-implicit) method for simulation of multiphase flows characterized by high density ratios. The developed method benefits from four previously developed schemes [1] as well as a novel one proposed for accurate, consistent modeling of density at the phase interface. The new scheme can be considered as an extended version of a commonly applied density smoothening scheme and is shown to keep the sharpness of spatial density variations while enhancing the stability and performance of simulations. Further, the paper highlights the importance of applying a Taylor series consistent scheme for calculation of pressure gradient in multiphase MPS-based simulations. By presenting a simple perturbation analysis, it is shown that some commonly applied MPS-based pressure gradient models are prone to increase the level of unphysical perturbations at the phase interface leading to numerical instabilities. The original MPS gradient model with a Gradient Correction [1] is shown to provide stable and accurate results even in case of violent multiphase flows characterized by high density ratios.