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A Fast-Marching Semi-Lagrangian Level Set Method For Free Surface Flows

A new free surface fluid simulation numerical model is developed, in which the Fast-Marching level set method is used to track a free surface in conjunction with a two-phase finite difference flow solver, a partial cell method to simulate fluid interactions with obstacles and a local relative stationary method to simulate moving body. This model can be used to simulate many free surface flow phenomena such as sloshing, wave motion, dam break problems, wave interactions with fixed and floating obstacles, etc. Three cases will be used to verify the new model and show that good results can be obtained. Moreover, the present method is very fast and efficient because the time step is relatively large.