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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

Abstract:

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 c_o²/(C_g+U)², where C_g and U are the wave group velocity and current velocity, respectively, and c_o 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 | Wave propagation | Renewable energy | Fluid velocity | Wave refraction | Wave groups

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