implicit (mps) method

Moving Particle Semi-implicit (MPS) which is a meshless and full Lagrangian method is employed to simulate nonlinear hydrodynamic behavior in a wide variety of engineering application including free surface water waves. In the present study, a numerical particle-based model is developed by the authors using MPS method to simulate different wave problems in the coastal waters. In this model fluid and solid are treated as separate phases and governing equations of momentum and continuity are solved for them concurrently. For simulations of turbulent wavy flows, constant eddy viscosity, Prandtl’s mixing length theory and k-ε models were considered. In addition, higher order of MPS operators was applied to suppress numerical oscillation in comparison with previous studies. The developed method was applied to some cases, including still water reservoir, solitary wave propagation in a tank, tsunami run-up on an inclined wall and wave generation due to the landslide. Evaluation of the developed model results, in compare with data cited in the literature showed enhancement in the accuracy of the developed numerical model especially in compare with existing inviscid models. Besides, the numerical tests results have shown that applying k-ε turbulence model, have equipped MPS model with a useful, powerful and reliable tool for simulating water free surface in wave motion, wave impact and the breaking process.