Improved pressure calculation for the moving particle semi-implicit method
Improved pressure calculation for the moving particle semi-implicit method
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DOI：
10.1007/s40571-015-0039-6
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发表时间：
2015-05
影响因子：
3.3
通讯作者：
K. Shibata;I. Masaie;M. Kondo;K. Murotani;S. Koshizuka
中科院分区：
文献类型：
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作者：
K. Shibata;I. Masaie;M. Kondo;K. Murotani;S. Koshizuka
我们发展了一种实用的运动质点半隐式(MPS)方法计算压力和压力梯度的方法。具体地，通过假设表面上存在虚拟粒子，建立了压力泊松方程的新的自由面边界条件。我们把虚粒子的压强当作一个已知值。考虑到这些虚拟颗粒的压力，模拟了单液相流。还发展了一种探测表面粒子的技术，并用于精确施加自由表面边界条件。改进了压力梯度模型以减少颗粒聚集，并建立了单层壁面模型以减少壁面颗粒的数量。我们将我们的技术应用于几个问题，验证了虚拟表面粒子抑制了压力振荡和粒子聚集。这项技术能够可靠地测量自由表面压力的差异，并模拟流体压力低于自由表面压力的情况。
We developed a practical technique for calculating pressures and pressure gradients for the moving particle semi-implicit (MPS) method. Specifically, a new free-surface boundary condition for the pressure Poisson equation was developed by assuming that there are virtual particles over the surface. We treat the pressure of the virtual particles as a known value. A single liquid-phase flow is simulated taking into account the pressure of these virtual particles. A technique for detecting surface particles also was developed and used for accurately imposing the free-surface boundary condition. The pressure gradient model was modified to mitigate particle clustering and a single-layer wall model was developed to reduce the number of wall particles. We applied our technique to several problems, verifying that virtual surface particles suppress pressure oscillations and particle clusterings. The technique enables reliable differences in free-surface pressures to be taken and simulates instances of lower fluid pressure than that of a free surface.