Meshless modeling of wave induced flows inside sandy sea beds

Abstract

Ocean waves have been research focus for scientists and engineers for the last several decades, being one of the most dominant physical phenomena that affect the coastal zones. Varieties of wave theories have been developed to understand the complex nature of this phenomenon. With the emergence of computers in the midst of twentieth century and the introduction of computational approach in science, ocean wave modeling has become an integral part of the studies on ocean waves. Among several numerical methods offered, developed and applied to the ocean wave problems, one of the most recent and practical is a meshless method called Radial Basis Function Collocation Method. The motivation behind the proposed modeling effort is the development of an understanding of how oxygen entrained in coastal waters penetrates into sandy sea bottoms. To understand the related phenomena, a linear wave propagation model over a porous sandy sea bed was developed using a meshless method, the Radial Basis Function Collocation Method (RBFCM). The Green’s function of the Laplace equation was used as the Radial Basis Function (RBF). The solution of equations on the boundaries was used to obtain the values inside the solution domain using the RBF interpolation. The results indicate that the method used here, a boundary-only RBFCM solution, is an efficient method for solving the problem at hand.