Abstract:
In the present study, water wave propagation in two dimensions, where the flowis irrotational, is numerically modeled using meshless multiquadric (MQ) method. Inthe first part, the method is applied to the classical linear wave theory boundary value problem. In the second part, the linear problem is modified to investigate how thesolutions are affected under fully nonlinear free surface boundary conditions wherethe free surface deformation needs to be dealt with. The model that is developed inthe third part, uses the fully nonlinear free surface boundary conditions and accepts nonlinear stream function wave input. The results of the numerical tests show that thelinear waves and nonlinear waves are predicted with excellent accuracy with meshlessMQ method.
