### THREE-DIMENSIONAL NUMERICAL SIMULATIONS OF AERATED VORTEX FILAMENTS UNDER PLUNGING BREAKING WAVES

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

Abadie, S., Caltagirone, J.-P. and Watremez, P., 1998. Mécanisme de génération du jet secondaire ascendant dans un déferlement plongeant, C. R. Mécanique, 326, 553-559.

Ahusborde, E. and Glockner, S., 2011. A 2d block-structured mesh partitioner for accurate flow simulations on non-rectangular geometries, Computers and Fluids, 43, 2-13.

BBC, 2009. South Pacific, Episode 1: Ocean of islands, DVD, Executive Producer: Fiona Pitcher, Series Producer: Huw Cordey, BBC/Discovery Channel co-production. Viewable at: http://www.youtube.com/watch?v=7BOhDaJH0m4.

Bonmarin, P., 1989. Geometric properties of deep-water breaking waves. Journal of Fluid Mechanics, 209, 405-433.

Chanson, H. & Cummings, P. D., 1994. Effects of plunging breakers on the gas contents in the ocean, Marine Technology Society Journal, 31 (3), 22-32.

Chen, G., Kharif, C., Zaleski, S. and Li, J., 1999. Two-dimensional Navier-Stokes simulation of breaking waves, Physics of Fluids, 11, 121-133.

Dalrymple, R. A. & Rogers, B. D., 2006. Numerical modeling of water waves with the SPH method, Coastal Engineering, 53, 141-147.

Falgout, R. D., Jones, J. E. & Yang, U. M., 2006. The design and implementation of HYPRE, a library of parallel high performance preconditioners, chap. 51, pp. 267-294, Springer-Verlag.

Goda, K., 1979. A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows, Journal of Computational Physics, 30 (1), 76-95.

Handler, R. A., Savelyev, I. and Lindsey, M., 2012. Infrared imagery of streak formation in a breaking wave, Physics of Fluids, 24 (12), 121701.

Hu, Y., Guo, X., Lu, X., Liu, Y., Dalrymple, R. A. and Shen, L., 2012. Idealized numerical simulation of breaking water wave propagating over a viscous mud layer, Physics of Fluids, 24 (11), 112104.

Hunt, J. C. R., Wray, A. A. & Moin, P., 1988. Eddies, streams, and convergence zones in turbulent flows. In Proceedings of the Summer Program 1988, 193-208. Center for Turbulence Research.

Iafrati, A., 2009. Numerical study of the effects of the breaking intensity on wave breaking flows. Journal of Fluid Mechanics, 622, 371-411.

Jansen, P. C. M., 1986. Laboratory observations of the kinematics in the aerated region of breaking waves, Coastal Engineering, 9, 453-477.

Kataoka, I., 1986. Local instant formulation of two-phase flow, International Journal of Multiphase Flow, 12 (5), 745-758.

Kiger, K. T. and Duncan, J. H., 2012. Air-entrainment mechanisms in plunging jets and breaking waves, Annual Review of Fluid Mechanics, 44, 563-596.

Kimmoun, O. & Branger, H., 2007. A PIV investigation on laboratory surf-zone breaking waves over a sloping beach, Journal of Fluid Mechanics, 588, 353-397.

Kubo, H. and Sunamura, T., 2001. Large-scale turbulence to facilitate sediment motion under spilling breakers. In Proceedings of the ASCE 4th International Conference on Coastal Dynamics (ed. Hans Hanson & Magnus Larson), pp. 212-221.

Lakehal, D. and Liovic, P., 2011. Turbulence structure and interaction with steep breaking waves, Journal of Fluid Mechanics, 674, 1-56.

Lin, C. & Hwung, H. H., 1992. External and internal flow fields of plunging breakers, Experiments in Fluids, 12, 229-237.

Longuet-Higgins, M. S., 1995. On the disintegration of the jet in a plunging breaker, Journal of Physical Oceanography, 25 (10), 2458-2462.

Lubin, P., Chanson, H. and Glockner, S., 2010. Large eddy simulation of turbulence generated by a weak breaking tidal bore, Environmental Fluid Mechanics, 10 (5), 587-602.

Lubin, P., Vincent, S., Abadie, S. and Caltagirone, J.-P. 2006. Three-dimensional large eddy simulation of air entrainment under plunging breaking waves, Coastal Engineering, 53, 631-655.

Lubin, P., Glockner, S., Kimmoun, O. and Branger, H., 2011. Numerical study of the hydrodynamics of regular waves breaking over a sloping beach, European Journal of Mechanics B/Fluids, 30, 552-564.

Lubin, P. & Glockner, S., 2013. Detailed numerical investigation of the three-dimensional flow structures under breaking waves. Proc. 7th International Conference on Coastal Dynamics Conference, 1127-1136.

Lubin, P. & Glockner, S., 2014. Numerical simulations of three-dimensional breaking waves: aeration and turbulent structures. Submitted to Journal of Fluid Mechanics.

Miller, R. L., 1976. Role of vortices in surf zone predictions: sedimentation and wave forces, chap. 24: 92-114, Soc. Econ. Paleontol. Mineral. Spec. Publ., R. A. Davis and R. L. Ethington.

Nadaoka, K., Hino, M. and Koyano, Y., 1989. Structure of the turbulent flow field under breaking waves in the surf zone, Journal of Fluid Mechanics, 204, 359-387.

Narayanaswamy, M. and Dalrymple, R. A., 2002. An experimental study of surface instabilities during wave breaking, In Proceedings of the ASCE 28th International Conference on Coastal Engineering (ed. Jane McKee Smith), vol. 1, 344-355. World Scientific.

Peregrine, D. H., 1983. Breaking waves on beaches, Annual Review of Fluid Mechanics, 15, 149-178.

Poux, A., Glockner, S. and Azaiez, M., 2011. Improvements on open and traction boundary for Navier-Stokes time splitting methods, Journal of Computational Physics, 230 (10), 4011-4027.

Sagaut, P., 1998. Large Eddy Simulation for incompressible flows - An introduction, Springer Verlag.

Saruwatari, A., Watanabe, Y. and Ingram, D. M., 2009. Scarifying and fingering surfaces of plunging jets, Coastal Engineering, 56 (11-12), 1109-1122.

Sawaragi, T. and Iwata, K., 1994. On wave deformation after breaking, In Proceedings of the ASCE 14th International Conference on Coastal Engineering (ed. Billy L. Edge), 481-499.

Scardovelli, R. and Zaleski, S., 1999. Direct numerical simulation of free-surface and interfacial flow, Annual Review of Fluid Mechanics, 31, 567-603.

Ting, F. C. K., 2006. Large-scale turbulence under a solitary wave, Coastal Engineering, 53, 441-462.

Ting, F. C. K., 2008. Large-scale turbulence under a solitary wave: Part 2. forms and evolution of coherent structures, Coastal Engineering, 55, 522-536.

Watanabe, Y., Saeki, H. and Hosking, R. J., 2005. Three-dimensional vortex structures under breaking waves, Journal of Fluid Mechanics, 545, 291-328.

Yasuda, T., Mutsuda, H., Mizutani, N. & Matsuda, H., 1999. Relationships of plunging jet size to kinematics of breaking waves with spray and entrained air bubbles, Coastal Engineering Journal in Japan, 41 (2), 269-280.

Youngs, D. L., 1982. Time-dependent multimaterial flow with large fluid distortion, K.W. Morton and M.J. Baines, Numerical Methods for Fluid Dynamics, Academic Press, New-York.

Zhang, D. and Sunamura, T., 1994. Multiple bar formation by breaker-induced vortices: a laboratory approach, In Proceedings of the ASCE 24th International Conference on Coastal Engineering (ed. Billy L. Edge), 2856-2870.

DOI: https://doi.org/10.9753/icce.v34.waves.2