Simulation for incompressible flow with moving particle semi-implicit method

The Moving Particle Semi-implicit Method is introduced, where Fluid is described by a set of discrete particles in Lagrange description, and the semi-implicit equation is solved on every time step. Some disadvantages of the traditional mesh methods are made up, such as complexities of creating and re-creating mesh in the case of complex shape, large distortion or high speed crash. The method enables to simulate incompressible flow perfectly.