Regularized meshless method analysis of the problem of obliquely incident water wave

In this paper, an application of regularized meshless method (RMM) for solving the problem of obliquely incident water wave passing a submerged breakwater is presented. By using desingularization technique to regularize the singularity and hypersingularity of the kernel functions, source points can be located on the physical boundary of an arbitrary domain. To verify the practicability and validity of the RMM, simulations for observing the propagation of oblique incident wave through a barrier are presented where the modified Helmholtz equation is satisfied. Finally, three examples are given to show the effects of breakwater with rigid and absorbing boundary conditions to energy dissipation caused by existence of a barrier. After comparing such analytical solution with the corresponding boundary element method (BEM) solutions, they are shown to be in good agreement. (C) 2010 Elsevier Ltd. All rights reserved.