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

移动粒子半隐式（MPS）方法是一种求解复杂流动问题的无网格流体力学数值计算方法。无网格方法使用一组任意分布的粒子，而不是一个固定的网格布局，以解决不同的边界和界面的控制方程。在该方法中，控制方程被离散为一组在拉格朗日坐标系中运动的任意分布的粒子。有限数量的移动粒子被应用于填充系统域。每个粒子都有一组场变量，如质量、浓度和动量。MPS方法于1996年引入，作为基于网格的方法（如有限差分法，有限元法和有限体积法）的替代方案来求解Navier-Stokes方程。该方法具有适应性强、能模拟水面变化和流体界面等特点，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.