Wave interaction with a sea dike using a VOF finite-volume method
Troch, P.; Li, T.Q.; De Rouck, J.; Ingram, D. (2003). Wave interaction with a sea dike using a VOF finite-volume method, in: Chung, J.S. et al. The Proceedings of The Thirteenth (2003) International Offshore and Polar Engineering Conference, Honolulu, Hawaii, USA, May 25-30, 2003. pp. 325-332 In: Chung, J.S.; Prinsenberg, S. (2003). The Proceedings of The Thirteenth (2003) International Offshore and Polar Engineering Conference, Honolulu, Hawaii, USA, May 25-30, 2003. International Society of Offshore and Polar Engineers (ISOPE): California. ISBN 1-880653-60-5. , more |  |
| Available in | Authors | | Document type: Conference paper
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| Keyword | | | Author keywords | Breaking waves; wave-structure interaction in a viscous flow; an implicit cell-staggered VOF finite volume solver; and a cut-cell Cartesian mesh |
| Abstract | This paper represents a solver for numerical simulation of breaking waves, developed at Ghent University using an implicit cellstaggered VOF finite volume approach. The mathematical model is based on unsteady incompressible Navier-Stokes (NS) equations with a free surface. A flux-difference splitting approach with the MUSCL type (or the ENO scheme) and a central-difference scheme are applied for evaluation of the inviscid and viscous fluxes, respectively. A projection method is involved for coupling of the pressure and the velocity. A free surface is tracked with the VOF method, in which the approximate dynamic boundary conditions are implemented. In addition, second- and fourth-order artificial damping terms are introduced to the velocity normal to the cell face. A Sommerfeld radiation condition is implemented at the open boundary to dissipate the energy of outgoing waves. Moreover, cut-cell techniques are utilized for treatment of an arbitrary geometry. The solver can capture many physical phenomena during the interaction of waves with a dike, when a wave run-up and overtopping over an impermeable sea dike are performed in a numerical wave tank. |
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