Propagating of obliquely incident, weakly viscous waves over variable bathymetry

Abstract

A linear theory for weakly viscous waves propagating obliquely over variable topographies is introduced without considering the boundary layers. Using an eigenfunction-matching method, which involves including the evanescent modes that satisfy the matching conditions, the present problem can be transformed into a system of linear equations. Furthermore, by using a weak-viscosity hypothesis, the proposed method can be degenerated to the traditional eigenfunction-matching method of the potential flow if both the molecular viscosity and the bottom friction are discarded. The applicability of this model was confirmed by comparing it with available theoretical, numerical, and experimental results for both of the normal and oblique incidences.