Fixed-frequency Stokes wave expansion |
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Authors: | Hsien-Kuo Chang Jin-Cheng Liou |
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Affiliation: | Department of Civil Engineering, National Chiao Tung University, 1001 Ta Hsuech Road, Hsinchu 300, Taiwan, ROC |
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Abstract: | The study describes a new fixed-frequency Stokes wave theory that differs from previous Stokes wave theories that fix the wave number. The present wave expansion analytically reveals that the wavelength increases with wave height and exceeds than the wavelength obtained by linear wave theory. A method proposed to comparably transform the wave celerity of Fenton's [Fenton, J.D., 1985. A fifth-order Stokes theory for steady waves. Journal of Waterway, Port, Coastal and Ocean Engineering 111, 216–234.] wave theory to the present one. A direct calculation of the wavelength is introduced for practical solutions, avoiding the need to solve a nonlinear equation using an iterative numerical method. |
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Keywords: | Stokes wave expansion Wave celerity Direct computation Wavelength |
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