Simulation of 2D Breaking Waves by Using Improved MLPG_R Method

In recent years, City University research group is developing a meshfree method based on Meshless Local Petrov Galerkin Method using Rankin source function (MLPG_R). The proposed method, works well for the simulations that we have carried out so far and gave a reasonable agreement with the experimental results for the wave profile. However, there is fluctuation in the pressure time history sometimes. This will cause the major problem when extending this model for the wave-elastic structure interactions, wherein, the pressure time history should be smooth enough to make the iterations with the structural solver, to have a stable simulation and to have a proper convergence between the fluid and structural solver. In this paper, we will propose a new algorithm to minimize this fluctuation. The comparisons of the time history from the improved MLPG_R method with that of other existing schemes shows that the pressure time history is much smoother.