MODELING NONLINEAR WATER WAVES IN A NUMERICAL WAVE TANK USING LOCALIZED RBF-DQ METHOD

In this paper, the problem of propagation of nonlinear water waves in 2D numerical wave tank is numerically solved by RBF-DQ method which is a novel meshless method. The local form ofRBF-DQ is used to improve the performance of the method in terms of the computational cost and applicability. Mixed Eulerian- Lagrangian method is utilized to calculate free surfacepotential velocity and elevation which is the most important part of the simulation. Fourth orderAdams-Bashforth-Moulton scheme is applied for time stepping integration. For verification of the results analytical and available numerical solutions are used.

Keywords:

Nonlinear waves , Numerical wave tank , Moving boundary , Free surface water , Meshless methods , RBF-DQ method