Numerical modeling of nearshore wave transformation using the meshless multiquadric method

Abstract

In the present study, nearshore wave transformation is numerically modeled using meshless multiquadric (MQ) method. The processes of water wave refraction, shoaling, breaking and re-forming; which are commonly observed in nature, are included in the model. Throughout the model development, plane bottom slope and periodic bottom topographies are handled separately. For all of the cases, an offshore boundary condition related to the wave angle is supplied to the model. Test results for the plane slope are verified using the analytical ones and yield highly favorable results. On the other hand, periodic bottom test results are compared with that of the REFDIF-1 outputs for the same case and the model results are proved to be satisfactory. Overall results demonstrate the meshless MQ method’s ability to predict nearshore wave parameters with reasonable accuracy.