Least squares moving particle semi-implicit method
Least squares moving particle semi-implicit method
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DOI：
10.1007/s40571-014-0027-2
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发表时间：
2014-07
影响因子：
3.3
通讯作者：
T. Tamai;S. Koshizuka
中科院分区：
文献类型：
--
作者：
T. Tamai;S. Koshizuka
本文提出了一种求解有自由面不可压流问题的无网格拉格朗日方法--最小二乘移动粒子半隐式方法。本方法包括任意高阶精度无网格空间离散方案，一致的时间积分方案，和广义处理的边界条件。LSMPS方法可以解决目前广泛应用的强形式粒子法在不可压流动中存在的主要问题，特别是空间离散格式缺乏一致性条件，难以实现一致的Neumann边界条件，以及非物理压力振荡等严重的不稳定性。本建议的应用表明显着增强的稳定性和准确性。
In this paper, a consistent meshfree Lagrangian approach for numerical analysis of incompressible flow with free surfaces, namedleast squares moving particle semi-implicit(LSMPS) method, is developed. The present methodology includes arbitrary high-order accurate meshfree spatial discretization schemes, consistent time integration schemes, and generalized treatment of boundary conditions. LSMPS method can resolve the existing major issues of widely used strong-form particle method for incompressible flow—particularly, the lack of consistency condition for spatial discretization schemes, difficulty in enforcing consistent Neumann boundary conditions, and serious instability like unphysical pressure oscillation. Applications of the present proposal demonstrate remarkable enhancements of stability and accuracy.