Theory of Surface Waves against an Incline
斜底面上的表面波理论

The properties of Kelvin waves against an arbitrary incline are examined. Based on the linearized governing equations, this paper studies the dispersion relation of different surface waves against a vertical barrier and against an infinite incline. For a shallow incline of arbitrary shape, a scale analysis is performed and the eigenvalue condition determining the dispersion relation to an ordinary differential equation for the pressure disturbance normal to the incline is deduced. The solutions are obtained by numerical calculations.