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该文提出了一种稳定的移动粒子半隐式法(MPS)。分析了MPS方法求解封闭区域流动的有解条件、自由面流动中粒子以较大速度撞击壁面或液面时出现的不稳定现象。为了解决这些问题,提出了Navier-Stokes方程新的求解算法和自由面边界处理方法。改进后的MPS方法提高了计算的稳定性,采用该方法成功模拟了自由面流动的溃坝现象,从而验证了该方法的有效性。
This paper presents a stable moving particle semi-implicit method (MPS). The MPS method is used to solve the problem of the flow in the closed area. The instability phenomenon occurs when the particles collide with the wall or liquid surface at a relatively high velocity in the free surface flow. In order to solve these problems, a new solution to the Navier-Stokes equations and free surface boundary treatment are proposed. The improved MPS method improves the stability of the calculation, and successfully simulates the dam-break phenomenon of free-surface flow by using this method, which verifies the effectiveness of the method.