Particle Based Simulation for Solitary Waves Passing over a Submerged Breakwater

DOI: 10.4236/jamp.2014.26032   PDF   HTML     3,427 Downloads   4,228 Views   Citations


This research develops a two-dimensional numerical model for the simulation of the flow due to a solitary wave passing over a trapezoidal submerged breakwater on the basis of generalized vortex methods. In this method, the irrotational flow field due to free surface waves is simulated by employing a vortex sheet distribution, and the vorticity field generated from the submerged object is discretized using vortex blobs. This method reduces the difficulty in capturing the nonlinear deformation of surface waves, and also concentrates the computational resources in the compact region with vorticity. This numerical model was validated by conducting a set of simulations for irrotational solitary waves and then compared with the results of a relevant research. The comparisons exhibit good agreement. The rotational flows induced by different incident wave height were simulated and analyzed to study the effect of vorticity on the deformation and the breaking of solitary waves.

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Lin, M. , Li, C. and Wang, A. (2014) Particle Based Simulation for Solitary Waves Passing over a Submerged Breakwater. Journal of Applied Mathematics and Physics, 2, 269-276. doi: 10.4236/jamp.2014.26032.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Grilli, S.T., Losada, M.A. and Martin, F. (1994) Characteristics of Solitary Wave Breaking Induced by Breakwaters. Journal of Waterway Port Coastal and Ocean Engineering-ASCE, 120, 609-628.
[2] Yenug, R.W. and Vaidhyanathan, M. (1992) Non-Linear Interaction of Water Waves with Submerged Obstacles. International Journal for Numerical Methods in Fluids, 14, 1111-1130.
[3] Gobbi, M.F. and Kirby, J.T. (1999) Wave Evolution over Submerged Sills: Tests of High-Order Boussinesq Model. Coastal Engineering, 37, 57-96.
[4] Guyenne, P. and Nicholls, D.P. (2005) Numerical Simulation of So-litary Waves on Plane Slopes. Mathematics and Computers in Simulation, 69, 269-281.
[5] Longuet-Higgins, M.S and Cokelet, E.D (1976) The Deformation of Steep Surface Waves on Water. I. A Numerical Method of Computation. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 350, 1-26.
[6] Baker, G.R., Meiron, D.I. and Orszag, S.A. (1982) Generalized Vortex Methods for Free-Surface Flow Problems. Journal of Fluid Mechanics, 123, 477-501.
[7] Tryggvason, G. (1988) Numerical Simulations of the Rayleigh-Taylor Instability. Journal of Computational Physics, 75, 253-282.
[8] Lin, M.-Y. and Huang, L.-H. (2009) Study of Water Waves with Submerged Obstacles Using a Vortex Method with Helmholtz Decomposition. International Journal for Numerical Methods in Fluids, 60, 119-148.

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