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A new efficient 3D non-hydrostatic free-surface flow model for simulating water wave motions
Authors:Doo Yong Choi  Chin H Wu  
Institution:Department of Civil and Environmental Engineering, 1269D Engineering Hall, University of Wisconsin-Madison, Madison, WI 53706, USA
Abstract:A new three-dimensional, non-hydrostatic free surface flow model is presented. For simulating water wave motions over uneven bottoms, the model employs an explicit project method on a Cartesian the staggered gird system to solve the complete three-dimensional Navier–Stokes equations. A bi-conjugated gradient method with a pre-conditioning procedure is used to solve the resulting matrix system. The model is capable of resolving non-hydrostatic pressure by incorporating the integral method of the top-layer pressure treatment, and predicting wave propagation and interaction over irregular bottom by including a partial bottom-cell treatment. Four examples of surface wave propagation are used to demonstrate the capability of the model. Using a small of vertical layers (e.g. 2–3 layers), it is shown that the model could effectively and accurately resolve wave shoaling, non-linearity, dispersion, fission, refraction, and diffraction phenomena.
Keywords:Free-surface flow  Waves  Non-hydrostatic  Projection method  Partial-cell bottom treatment  Finite difference model
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