Abstract
We present a numerical method for tracking breaking waves over sloping beaches. We use a fully non-linear potential model for incompressible, irrotational and inviscid flow, and consider the effects of beach topography on breaking waves. The algorithm uses a Boundary Element Method (BEM) to compute the velocity at the interface, coupled to a Narrow Band Level Set Method to track the evolving air/water interface, and an associated extension equation to update the velocity potential both on and off the interface. The formulation of the algorithm is applicable to two- and three-dimensional breaking waves; in this paper, we concentrate on two-dimensional results showing wave breaking and rollup, and perform numerical convergence studies and comparison with previous techniques.
This work was supported by U.S. Department of Energy, Applied mathematical Sciences, and the Division of Mathematical Sciences, National Sciences Foundation and the Spanish DGI project BFM 00-1324.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Garzon, M., Sethian, J.A. (2006). Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral-Level Set Method. In: Figueiredo, I.N., Rodrigues, J.F., Santos, L. (eds) Free Boundary Problems. International Series of Numerical Mathematics, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7719-9_19
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DOI: https://doi.org/10.1007/978-3-7643-7719-9_19
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