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.
The simulation of nonlinear waves and structure interaction based on time-domain has received tremendous attention due to recent improvements in numerical techniques and computational power. Till the recent past, the simulation of water wave problems has been mostly carried out using variety of numerical methods; those are broadly classified into mesh based and meshfree methods. In mesh based methods, the notable works on wave structure interactions based on potential flow theory are carried out by Longuet-Higgins and Cokelet (1976), Grilli and co workers (1989,2006), Kashiwagi (1996), Xu and Yue (1992), Boo and Kim (1994), Ma et al.(2001), Ma and Yan(2006), Sriram et al. (2009). The mesh free methods are the promising approach in recent years, for the simulation of violent waves. The notable works on this topic for the wave structure interactions using smoothed particle hydrodynamics (SPH) are Monaghan (1994), Lo and Shao (2002), Rogers and Dalrymple (2005).
