| Title: | MODELLING SURFACE WATER WAVES – AN APPLICATION OF HIGH-LEVEL GLN THEORY |
| DOI No: | 10.1142/9789812701916_0013 |
| Source: | COASTAL ENGINEERING 2004 (pp 182-194)
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| Author(s): | C. T. CHAN
Now at Department of Civil Engineering, National University of Singapore.
Department of Civil & Environmental Engineering, Imperial College, London, SW7 2AZ, UK
C. SWAN
Department of Civil & Environmental Engineering, Imperial College, London, SW7 2AZ, UK
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| Abstract: | This paper concerns the description of surface water waves using the theory of fluid sheets first proposed by Green-Laws & Naghdi (1974). Unlike most traditional wave theories this model is not based upon a velocity potential or stream function representation satisfying Laplace's equation, but instead adopts a shape function representation that approximates the vertical structure of the velocity field. Subject to this approximation, the governing equations are given by the depth-integrated form of the Euler equations, with both the bottom boundary condition and the nonlinear free surface boundary conditions being satisfied exactly. The principle advantage of the method described herein lies in its versatility. It can be applied in any water depth, to regular and irregular wave fields, and can incorporate varying bottom topography. Furthermore, there are no restrictions placed on the rotationality of the flow field. As a result, it is particularly suited to the study of wave-current interactions where the wave motion itself may become rotational and cannot therefore be modelled by existing irrotational wave solutions. |
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