AN IMPROVEMENT OF NONLINEAR DISPERSIVE MULTI-LEVEL WAVE MODELS AND THEIR APPLICATION TO QUASI-3-DIMENSIONAL PROBLEM

Abstract

Two new versions of the multi-level models for nonlinear dispersive water, in which vertical profile of horizontal velocity is assumed to be a chain of quadratic portions, are proposed aiming to improvement of efficiency of calculation and applicability to quasi-3-dimensional problem respectively. The properties of the model in dispersion relation and second-order nonlinear interactions are confirmed by comparison with that of the Stokes wave theory. The applicability of the models is examined by reproduction of experimental result for submerged dike and floating body.