Author(s)

Y. Tang & Y. Ouellet

Abstract

A perturbation solution of the boundary element method is proposed to solve the variable coefficient mild-slope equation. For small variation in the coefficient of the mild- slope equation, this last equation is transformed into a constant coefficient Helmholtz equation with a small nonhomogeneous term, which is then expanded into a series of equations. The problem now becomes to seek the solution of a series of constant coefficient Helmholtz equations with or without a nonhomogeneous term. This problem is solved numerically with the boundary element method by solving a series of boundary integral equations. A numerical example is given for waves inside a harbor with variable depth. 1 Introduction The mild-slope equation by Berkhoff [1] can describe the combined refraction- diffraction of water

Keywords