Improvement of Mesh-free Particle Method for Free Surface Flow Simulation

运动粒子半隐式(MPS)方法是一种基于无网格的数值计算流体力学技术，用于求解复杂流动问题。无网格方法使用一组任意分布的粒子，而不是固定的网格布局来求解不同边界和界面的控制方程。在这种方法中，控制方程被离散在一组在拉格朗日坐标系中运动的任意分布的质点上。应用有限数量的移动粒子来填充系统域。每个粒子都有一组场变量，如质量、浓度和动量。MPS方法是1996年提出的求解N-S方程的有限差分法、有限单元法和有限体积法等网格方法的替代方法。该方法具有较强的适应性和模拟水面变化及流体界面的能力，在水流模拟中具有一定的优势。

The Moving Particle Semi-implicit (MPS) method is a mesh - free based numerical computation fluid dynamics technique for solving complex flow problem. The mesh-free methods use a set of arbitrarily distributed particles as opposed to a fixed mesh grid layout to solve governing equations for diverse boundaries and interfaces. In this method, governing equations are discretized over a set of arbitrarily distributed particles moving in the Lagrangian coordinate system. A finite number of moving particles are applied to fill the system domain. Each particle possesses a set of field variables such as mass, concentration and momentum. MPS method was introduced in 1996 as an alternative to mesh-based methods such as Finite Difference Method, Finite Element Method and Finite Volume method to solve the Navier-Stokes equations. This method is advantageous in flow simulation due to its adaptability and capability of simulating water surface variation and fluid interfaces.