The Calculation of Reflection Coefficients of Water Waves over Various Shear Currents with a Uniform Depth Topography

Abstract

The reflection coefficients of monochromatic water waves over various shear currents flowing on a constant topography are estimated analytically in this study. The region of varying shear currents is represented by a finite number of tiny steps with a uniform depth topography. The proper numbers of steps and evanescent modes needed for the analysis are proposed by a series of convergence tests. The characteristics of reflection coefficients for various shear currents conditions are also examined.