The Time Dependent Ray Method for Calculation of Wave Transformation on Water of Varying Depth and Current

by Yung Y. Chao, Natl Meterological Cent, Camp Springs, United States,

Document Type: Proceeding Paper

Part of: Ocean Wave Measurement and Analysis


This focuses on an aspect of the numerical calculation of wave refraction using the ray tracing or the semi-Lagrangian approach. the conventional ray method for steady state depth and current fields is extended to the unsteady situation. It is shown that a factor which characterizes the unsteadiness of the medium can be included explicitly in the calculation of the wave energy amplification. The contribution associated with this factor on wave energy is co2/(Cg+U)2, where Cg and U are the wave group velocity and current velocity, respectively, and co is the phase velocity of the wave-like fluctuation of currents and depth (e.g., caused by tides) in the direction of the ray path, i.e., in the direction of wave energy propagation.

Subject Headings: Water waves | Wave velocity | Numerical methods | Wave propagation | Mathematics | Wave groups | Steady states | Tides

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