Abstract
Using a variational principle and a parabolic approximation to the vertical structure of the velocity potential, the equations of motion for surface gravity waves over mildly sloping bathymetry are derived. No approximations are made concerning the non-linearity of the waves. The resulting model equations conserve mass, momentum and positive-definite energy. They are shown to have improved frequency-dispersion characteristics, as compared to classical Boussinesq-type of wave equations.
Original language | English |
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Number of pages | 4 |
Publication status | Published - 19 May 2005 |
Event | 20th International Workshop on Water Waves and Floating Bodies, IWWWFB 2005 - Longyearbyen, Norway Duration: 19 May 2005 → 1 Jun 2005 Conference number: 20 http://www.iwwwfb.org/Workshops/20.htm |
Conference
Conference | 20th International Workshop on Water Waves and Floating Bodies, IWWWFB 2005 |
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Abbreviated title | IWWWFB |
Country/Territory | Norway |
City | Longyearbyen |
Period | 19/05/05 → 1/06/05 |
Internet address |
Keywords
- METIS-226026
- IR-53379