THE EFFECTS OF WAVE-BREAKING-INDUCED TURBULENT COHERENT STRUCTURES ON BOTTOM STRESS AND SUSPENDED SEDIMENT TRANSPORT – A 3D NUMERICAL STUDY

Zheyu Zhou, Tian-Jian Hsu, Francis C. K. Ting, Xiaofeng Liu

Abstract


To better understand the effect of wave-breaking-induced turbulence on nearshore sand transport, we carry out a 3D Large Eddy Simulation study of breaking solitary wave in spilling condition. Using a turbulence-resolving approach, we investigate the formation and evolution of wave-breaking-induced turbulent coherent structures, commonly known as obliquely descending eddies (ODEs), and how they may interact with the bed and enhance the suspended sediment transport. The numerical implementation is based on an open-source CFD library of solvers, called OpenFOAM®, where the incompressible 3D filtered Navier-Stokes equations for the water and the air phases are solved with a finite volume scheme. The evolution of the water-air interfaces are approximated with a Volume of Fluid (VOF) method. With the dynamic Smagorinsky closure, the numerical model results show good agreement with measured wave flume data of solitary wave breaking over a 1/50 sloping beach. Simulation results show that 3D hairpin vortices are generated under breaking wave, and they possess counter-rotating and downburst features, which are the key characteristics of obliquely descending eddies (ODEs) observed by earlier laboratory studies with Particle Image Velocimetry. A suspended sediment transport formulation (Liu and Garcia 2008) has been incorporated into the present hydrodynamic solver as part of the OpenFOAM® framework. Model results suggest that those ODEs that impinge onto the bed can cause significant bottom sediment suspension, and the location of the sediment plume is highly associated with the impinging points of ODEs but with notable time-lag.

Keywords


Breaking wave; sediment suspension; Large Eddy Simulation

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References


Aagaard, T., and M.G. Hughes. 2010. Breaker turbulence and sediment suspension in the surf zone, Marine Geology, 271, 250-259

Beach, R.A., and R.W. Sternberg. 1996. Suspended-sediment transport in the surf zone: response to breaking waves. Continental Shelf Research, Vol. 16, No. 15, 1989-2003.

Berbervoić, E., N.P. van Hinsberg, S. Jakirlić, I.V. Roisman, C. Tropea. 2009. Drop impact onto a liquid layer of finite thickness: Dynamics of the cavity evolution, Physical Review E 79, 036306

Berbervoić, E. 2010. Investigation of free-surface flow associated with drop impact: numerical simulations and theoretical modeling, Ph.D. thesis, Technische Universität Darmstadt.

Chang, K. A., and P. L.-F Liu. 1998. Velocity, acceleration and vorticity under a breaking wave, Phys. Fluids, 10(1), 327-329.

Christensen, E.D. and R. Deigaard. 2001. Large eddy simulation of breaking waves, Coastal Engineering, 42, 53-86.

Christensen. E.D. 2006. Large eddy simulation of spilling and plunging breakers, Coastal Engineering, 53, 463-485.

Deshpande, S.S., L. Anumolu, M.F. Trujillo. 2012. Evaluating the performance of the two-phase flow solver interFoam. Computational Science & Discovery 5 (2012) 014016 (36pp).

Farahani, R. J. and R.A. Dalrymple. 2013. Three-dimensional reversed horseshoe vortex structures under broken solitary waves, Coastal Engineering, 91, 261-279.

Germano, M., U. Piomelli, P. Moin, W. Cabot. 1991 A dynamic subgrid-scale eddy viscosity model, Physics of Fluids A, 3, 1760-1765.

Grasso, F., B. Castelle, B.G. Ruessink. 2012. Turbulence dissipation under breaking waves and bores in a natural surf zone. Continental Shelf Research, 43, 133-141.

Gschaider, B. 2009 Contrib groovyBC. OpenFOAM Wiki.,

http://openfoamwiki.net/index.php/Contrib_groovyBC

Hirt, C.W., and B.D. Nichols. 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39, 201-225.

Huang, Z.C., H.H. Hwung, S.C. Hsiao, K.A. Chang. 2010. Laboratory observation of boundary layer flow under spilling breakers in surf zone using particle image velocimetry. Coastal Engineering, 57, 343-357.

Jasak, H. 1996 Error analysis and estimation for the finite volume method with application to fluid flows. Ph.D. thesis, Imperial College London.

Jasak, H., H.G. Weller, A.D. Gosman. 1999. High resolution NVD differencing scheme for arbitrarily unstructured meshes. International Journal for Numerical Methods in Fluids, 31, 431-449.

Jeong, J., and F. Hussain. 1995. On the identification of a vortex. Journal of Fluid Mechanics, 285, 69-94.

Kimmoun, O., and H. Branger. 2007. A particle image velocimetry investigation on laboratory surf-zone breaking waves over a sloping beach. Journal of Fluid Mechanics, vol. 588, 353-397.

Klostermann, J., K. Schaake, R. Schwarze. 2012. Numerical simulation of a single rising bubble by VOF with surface compression. International Journal for Numerical Methods in Fluids, Vol.71, Issue 8, 960-982.

Lee, J.-J., J.E. Skjelbreia, F. Raichlen. 1982. Measurement of velocities in solitary waves. Journal of Waterway, Port, Coastal, and Ocean Division, 108(2), 202-218.

Lilly, D.K. 1992. A proposed modification of the germane subgrid-scale closure method. Physics of Fluids A, 4, 633-635.

Liu, X., and M. Garcia. 2008. Three-dimensional numerical model with free water surface and mesh deformation for local sediment scour. Journal of Waterway, Port, Coastal, and Ocean Engineering, vol. 134, issue 4.

Lubin, P., S. Vincent, S. Abadie, J.-P. Caltagirone. 2006. Three-dimensional Large Eddy Simulation of air entrainment under plunging breaking waves. Coastal Engineering, 53, 631-655.

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

O’Donoghue, T., and S. Wright. 2004. Concentrations in oscillatory sheet flow for well sorted and graded sand. Coastal Engineering, vol. 50, no. 3, pp. 117-138.

O’Donoghue, T., D. Polrajac, L.J. Hondebrink. 2010. Laboratory and numerical study of dambreak-generated swash on impermeable slopes. Coastal Engineering, vol.57, no. 5, pp. 513 – 530.

Ogston, A.S., and R.W. Sternberg. 1995 On the importance of nearbed sediment flux measurements for estimating sediment transport in the surf zone. Continental Shelf Research, 15, No. 13. 1515-1524.

Ozdemir, C.E., T.-J. Hsu, S. Balachander. 2013. Direct numerical simulations of instability and boundary layer turbulence under a solitary wave. Journal of Fluid Mechanics, 731, 545-578.

Pope, S.B. 2000. Turbulent flows. Cambridge, UK, Cambridge Univ. Press

Ruessink, B.G., Y. Kuriyama, A.J.H.M. Reniers, J.A. Roelvink, D.J.R. Walstra. 2007. Modeling cross-shore sandbar behavior on the timescale of weeks. Journal of Geophysical Research, Vol. 112, F03010.

Rusche, H. 2002. Computational fluid dynamics of dispersed two-phase flows at high phase fractions. PhD Thesis, Imperial College of Science, Technology and Medicine, London, England.

Sangermano, J.J. 2013. A numerical study of wave-breaking turbulence beneath solitary waves using large eddy simulation. Master Thesis, University of Delaware, Newark, Delaware, USA

Scott N.V., T.-J. Hsu, D. Cox. 2009. Steep wave, turbulence, and sediment concentration statistics beneath a breaking wave field and their implications for sediment transport. Continental Shelf Research, 29, 2303-2317

Spalding D.B. 1961 A single formula for the law of the wall. Journal of Applied Mechanics, Trans. ASME, Series E, Vol. 28, 455-458

Sumer, B.M.,M.B. Sen, I. Karagali, B. Ceren, J. FredsØe, M. Sottile, L. Zilioli, D.R. Fuhrman. 2011. Flow and sediment transport induced by a plunging solitary wave. Journal of Geophysical Research, Vol.116, C01008.

Synolakis, C.E. 1987. The runup of solitary waves. Journal of Fluid Mechanics, 185, 523-545.

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.

Van Leer, B. 1974. Towards the ultimate conservative difference scheme. IV. Monotonicity and conservation combined in a second order scheme. Journal of Computational Physics, 14,361-370.

Vittori, G., Verzicco, R. 1998. Direct simulation of transition in an oscillatory boundary layer. Journal of Fluid Mechanics, 371,207-232.

Voulgaris, G., and M.B. Collins. 2000. Sediment resuspension on beaches: response to breaking waves. Marine Geology, 167, 167-187.

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

Weller, H.G. 2008. A new approach to VOF-based interface capturing methods for incompressible and compressible flow. Technical Report TR/HGW/04, OpenCFD Ltd.

Yoon, H.-D., and D.T. Cox. 2012. Cross-shore variation of intermittent sediment suspension and turbulence induced by depth-limited wave breaking. Continental Shelf Research, 47, 93-106.

Zhou, Z., J. Sangermano, T.-J. Hsu., F.C.K. Ting. 2014. A numerical investigation of wave-breaking-induced turbulent coherent structure under a solitary wave. Journal of Geophysical Research, accepted.




DOI: https://doi.org/10.9753/icce.v34.sediment.35