Numerical Simulation of Breaking Waves Using Hybrid Coupling of FNPT and NS Solvers

摘要

In recent years, our research group has been developing a meshfreemethod based on Meshless Local Petrov Galerkin Method using Rankinsource function (MLPG_R) and recently improved the methodology forthe smooth pressure evaluation (IMLPG_R), as reported in the previousISOPE conference papers. As it is well known that the particle methodsthat solve Navier Stokes (NS) equation is time consuming when thewaves propagate over a long tank or for a long simulation time. Oneway to overcome this is to couple the NS solver with the solver basedon Fully Nonlinear Potential Theory (FNPT). In this paper, novelalgorithms were employed to couple the FNPT solver (based on FiniteElement method developed by Sriram et al., 2006) and NS solver(Sriram and Ma, 2010). The new coupled model has been applied to aregular wave simulation. The applications of the developed model forsolitary wave overtopping and shallow water freak waves breaking arepresented.