А FINITE ELEMENT METHOD IN THE STUDY OF NEARSHORE WAVE PROCESSES

Abstract

The paper suggests that the only feasible method for implementing adequate nearshore wave dynamics models under conditions of extreme complexity is numerical methods with computational experiments on powerful computers. When the fundamental laws of continuum mechanics are roughly written for a finite element (FE) with an emphasis on the ensuing numerical solution, the finite element method (FEM) offers great opportunities in this regard. The FEM has the benefit of allowing for the well-approximation of coastal water areas by a collection of irregular triangles, and their boundaries can typically be curvilinear. The FEM has the advantage that its grid equations typically are independent of the type of grid and its topology, setting it apart from other grid methods. The generalized solutions to the original problems are divided into grid-like equations for the FEM, which are derived on the basis of integral relations. The fundamental integral laws are thus automatically maintained for grid equations. For the study of the coastal wave regime in a non-stationary three-dimensional formulation, grid equations of the FEM are constructed in this work. The generalized solutions to the original problems are divided into grid-like equations for the FEM, which are derived on the basis of integral relations. The fundamental integral laws are thus automatically maintained for grid equations. For the study of the coastal wave regime in a non-stationary three-dimensional formulation, grid equations of the FEM are constructed in this work.