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Numerical Study of the Propagation of Non-Breaking Waves over Steep Seabed Slopes with a Double-Σ Non-Hydrostatic Model

Author(s): Oleksandr Nesterov

Linked Author(s): Oleksandr Nesterov

Keywords: Non-hydrostatic ocean circulation models; Double-sigma coordinate system; Propagation of short surface waves in shallow water; Modeling of solitary waves; Wave-structure interaction

Abstract: The propagation and transformation of non-breaking surface waves over steep seabed slopes such as drop-offs of a coastal shelf, coral reefs, man-made navigational canals, submerged obstacles with nearly vertical walls, is a topic of many research and engineering studies. However, a majority of the wave models dedicated to this problem focus on the description of one- or two-dimensional wave characteristics only and, hence, lack in the ability of analyzing three-dimensional hydrodynamic fields in detail. On the other hand, most of the existing three-dimensional ocean circulation models are based on the hydrostatic pressure approximation, which makes them incapable of the proper simulation of the dynamics of short-waves. To address the problem of non-hydrostatic flow modeling in the areas with steep changes in bathymetry, a three-dimensional free-surface non-hydrostatic double σ-coordinate numerical model has been developed. Application of this model has shown a fairly good agreement with the laboratory investigation of a non-breaking solitary wave propagation over an artificial shelf installed in a flume. The model was also able to accurately reproduce vortices observed in laboratory experiments at the edges of a submerged rectangular obstacle, which were generated by a solitary wave passing over it. In both cases a good agreement with the measurements has been achieved by calibrating the bed roughness.

DOI:

Year: 2013

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