Numerical modeling of surface wave development under the action of wind
The numerical modeling of two-dimensional surface wave development under the action of wind is performed. The model is based on three-dimensional equations of potential motion with a free surface written in a surface-following nonorthogonal curvilinear coordinate system in which depth is counted...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2018-06-01
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| Series: | Ocean Science |
| Online Access: | https://www.ocean-sci.net/14/453/2018/os-14-453-2018.pdf |
| Summary: | The numerical modeling of two-dimensional surface wave development under the
action of wind is performed. The model is based on three-dimensional
equations of potential motion with a free surface written in a
surface-following nonorthogonal curvilinear coordinate system in which depth is
counted from a moving surface. A three-dimensional Poisson equation for the
velocity potential is solved iteratively. A Fourier transform method, a
second-order accuracy approximation of vertical derivatives on a stretched
vertical grid and fourth-order Runge–Kutta time stepping are used. Both
the input energy to waves and dissipation of wave energy are calculated on
the basis of earlier developed and validated algorithms. A one-processor
version of the model for PC allows us to simulate an evolution of the wave field
with thousands of degrees of freedom over thousands of wave periods. A
long-time evolution of a two-dimensional wave structure is illustrated by the
spectra of wave surface and the input and output of energy. |
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| ISSN: | 1812-0784 1812-0792 |