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A Theoretical Explanation of the Fetch- and Duration-Limited Laws

Emmanuel FontaineAMOG Consulting, Notting Hill, Victoria, Australia

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Abstract

The evolution of wind-induced ocean waves is studied theoretically. The modeling assumes that wave groups evolve independently of each other in a state of local equilibrium between wind-pumping- and wave-breaking-induced dissipation. The well-known fetch and duration laws appear as natural solutions of the model in the case of a constant wind speed. The link between the fetch and duration laws is explained, and the results are successfully validated against various experimental data.

Corresponding author address: Emmanuel Fonatine, AMOG Consulting, Monash Business Park, Notting Hill, 3168 VIC, Australia. E-mail: emmanuel_fontaine@me.com

Abstract

The evolution of wind-induced ocean waves is studied theoretically. The modeling assumes that wave groups evolve independently of each other in a state of local equilibrium between wind-pumping- and wave-breaking-induced dissipation. The well-known fetch and duration laws appear as natural solutions of the model in the case of a constant wind speed. The link between the fetch and duration laws is explained, and the results are successfully validated against various experimental data.

Corresponding author address: Emmanuel Fonatine, AMOG Consulting, Monash Business Park, Notting Hill, 3168 VIC, Australia. E-mail: emmanuel_fontaine@me.com
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