斜底面上的表面波理论

Theory of Surface Waves against an Incline

考察了任意倾斜底面上的Ｋｅｌｖｉｎ波问题，并用线性化的控制方程分别研究了相应于垂直刚壁的和无限倾斜底面上的表面波频散关系。文中还对任意斜坡上的浅水表面波做了尺度分析，并把决定其频散关系的特征值问题简化为该斜坡上气压扰动的常微分方程，且用数值方法进行了求解。

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.