ANALYSIS OF NUMERICAL OSCILATION PROBLEMS IN A NON LINEAR TIME DEPENDENT MILD SLOPE MODEL AND FIRST DEVELOPMENTS FOR THE IMPLEMENTATION OF WAVE BREAKING

摘要

In this paper, a description of the numerical model NMLSE is presented. This model solves the time dependent non linear mild slope equation, without including energy dissipation due to wave breaking [1]. Some modifications are made in the boundary conditions of the original version of the model in order to overcome the numerical oscillation problems detected in the work done by [2]. To evaluate the effectiveness of the new versions of the model, they are applied to test cases of the bibliography and to a bar-trough profile beach for which there are data from physical model tests. The basic theoretical formulation of a new momentum equation that includes energy dissipation due to wave breaking is also presented. The energy dissipation due to wave breaking is included through the addition of a dissipative term based in the eddy viscosity concept.