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Numerical investigation of solitary wave interaction with a row of vertical slotted piles on a sloping beach

  • Jiang, Changbo (School of Hydraulic Engineering, Changsha University of Science and Technology) ;
  • Liu, Xiaojian (School of Hydraulic Engineering, Changsha University of Science and Technology) ;
  • Yao, Yu (School of Hydraulic Engineering, Changsha University of Science and Technology) ;
  • Deng, Bin (School of Hydraulic Engineering, Changsha University of Science and Technology)
  • Received : 2018.01.10
  • Accepted : 2018.09.22
  • Published : 2019.01.31

Abstract

To improve our current understanding of tsunami-like solitary waves interacting with a row of vertical slotted piles on a sloping beach, a 3D numerical wave tank based on the CFD tool $OpenFOAM^{(R)}$ was developed in this study. The Navier-Stokes equations were employed to solve the two-phase incompressible flow, combining with an improved VOF method to track the free surface and a LES model to resolve the turbulence. The numerical model was firstly validated by our laboratory measurements of wave, flow and dynamic pressure around both a row of piles and a single pile on a slope subjected to solitary waves. Subsequently, a series of numerical experiments were conducted to analyze the breaking wave force in view of varying incident wave heights, offshore water depths, spaces between adjacent piles and beach slopes. Finally, a slamming coefficient was discussed to account for the breaking wave force impacting on the piles.

Keywords

References

  1. Bihs, H., Kamath, A., Chella, M.A., Arntsen, O.A., 2016. Breaking-wave interaction with tandem cylinders under different impact scenarios. J. Waterw. Port, Coast. Ocean Eng. 142 (5), 04016005. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000343
  2. Chen, J.T., Lin, Y.J., Lee, Y.T., Wu, C.F., 2011. Water wave interaction with surface-piercing porous cylinders using the null-field integral equations. Ocean Eng. 38 (2), 409-418. https://doi.org/10.1016/j.oceaneng.2010.11.006
  3. Chella, M.A., Bihs, H., Myrhaug, D., Muskulus, M., 2016. Breaking solitary waves and breaking wave forces on a vertically mounted slender cylinder over an impermeable sloping seabed. J. Ocean Eng. Mar. Energy 3 (1), 1-19.
  4. Dean, R.G., Dalrymple, R.A., 1991. Water Wave Mechanics for Engineers and Scientists. Advanced Series on Ocean Engineering, vol. 2. World Scientific, Farrer Road, Singapore.
  5. Gebreslassie, M.G., Tabor, G.R., Belmont, M.R., 2013. Numerical simulation of a new type of cross flow tidal turbine using OpenFOAM-Part I: calibration of energy extraction. Renew. Energy 50 (3), 994-1004. https://doi.org/10.1016/j.renene.2012.08.065
  6. Grilli, S.T., Svendsen, I.A., Subramanya, R., 1997. Breaking criterion and characteristics for solitary waves on slopes. J. Waterw. Port, Coast. Ocean Eng. 123 (3), 102-112. https://doi.org/10.1061/(ASCE)0733-950X(1997)123:3(102)
  7. Higuera, P., Lara, J.L., Losada, I.J., 2013. Realistic wave generation and active wave absorption for Navier-Stokes models: application to OpenFOAM(R). Coast. Eng. 71, 102-118. https://doi.org/10.1016/j.coastaleng.2012.07.002
  8. Huang, Z., 2007. An experimental study of wave scattering by a vertical slotted barrier in the presence of a current. Ocean Eng. 34 (5), 717-723. https://doi.org/10.1016/j.oceaneng.2006.05.007
  9. Huang, Z., Yuan, Z., 2010. Transmission of solitary waves through slotted barriers: a laboratory study with analysis by a long wave approximation. J. Hydro-Environ. Res. 3 (4), 179-185. https://doi.org/10.1016/j.jher.2009.10.009
  10. Huang, Z., Wu, T.R., Chen, T.Y., Sim, S.Y., 2013. A possible mechanism of destruction of coastal trees by tsunamis: a hydrodynamic study on effects of coastal steep hills. J. Hydro-Environ. Res. 7 (2), 113-123. https://doi.org/10.1016/j.jher.2012.06.004
  11. Isaacson, M., Premasiri, S., Yang, G., 1998. Wave interactions with vertical slotted barrier. J. Waterw. Port, Coast. Ocean Eng. 124 (3), 118-126. https://doi.org/10.1061/(ASCE)0733-950X(1998)124:3(118)
  12. Jacobsen, N.G., Fuhrman, D.R., Fredsoe, J., 2012. A wave generation toolbox for the open-source CFD library: OpenFOAM(R). Int. J. Numer. Methods Fluid. 70 (9), 1073-1088. https://doi.org/10.1002/fld.2726
  13. Jiang, C., Yao, Y., Deng, Y., Deng, B., 2015. Numerical investigation of solitary wave interaction with a row of vertical slotted piles. J. Coast Res. 31 (6), 1502-1511. https://doi.org/10.2112/JCOASTRES-D-14-00210.1
  14. Ji, X., Liu, S., Li, J., Jia, W., 2015. Experimental investigation of the interaction of multidirectional irregular waves with a large cylinder. Ocean Eng. 93, 64-73. https://doi.org/10.1016/j.oceaneng.2014.10.004
  15. Kamath, A., Chella, M.A., Bihs, H., Arntsen, O.A., 2015. CFD investigations of wave interaction with a pair of large tandem cylinders. Ocean Eng. 108, 738-748. https://doi.org/10.1016/j.oceaneng.2015.08.049
  16. Kamath, A., Chella, M.A., Bihs, H., Arntsen, O.A., 2016. Breaking wave interaction with a vertical cylinder and the effect of breaker location. Ocean Eng. 128, 105-115. https://doi.org/10.1016/j.oceaneng.2016.10.025
  17. Koraim, A.S., Iskander, M.M., Elsayed, W.R., 2014. Hydrodynamic performance of double rows of piles suspending horizontal c shaped bars. Coast. Eng. 84, 81-96. https://doi.org/10.1016/j.coastaleng.2013.11.006
  18. Lee, J.J., Skjelbreia, J.E., Raichlen, F., 1982. Measurement of velocities in solitary waves. J. Waterw. Port, Coast. Ocean Div. 108, 200-218. https://doi.org/10.1061/JWPCDX.0000293
  19. Lin, P., 2004. A numerical study of solitary wave interaction with rectangular obstacles. Coast. Eng. 51 (1), 35-51. https://doi.org/10.1016/j.coastaleng.2003.11.005
  20. Liu, H., Ghidaoui, M.S., Huang, Z., Yuan, Z.,Wang, J., 2011. Numerical investigation of the interactions between solitary waves and pile breakwaters using BGK-based methods. Comput. Math. Appl. 61 (12), 3668-3677. https://doi.org/10.1016/j.camwa.2010.06.012
  21. Mo, W., Irschik, K., Oumeraci, H., Liu, P.L.-F., 2007. A 3D numerical model for computing non-breaking wave forces on slender piles. J. Eng. Mech. 58 (1-4), 19-30.
  22. Mo,W., Jensen, A., Liu, P.L.-F., 2013. Plunging solitary wave and its interaction with a slender cylinder on a sloping beach. Ocean Eng. 74 (7), 48-60. https://doi.org/10.1016/j.oceaneng.2013.09.011
  23. Mo, W., Liu, P.L.-F., 2009. Three dimensional numerical simulations for non-breaking solitary wave interacting with a group of slender vertical cylinders. Int. J. Nav. Archit. Ocean Eng. 1 (1), 20-28. https://doi.org/10.2478/IJNAOE-2013-003
  24. Mori, N., Takahashi, T., The 2011 Tohoku Earthquake Tsunami Joint Survey Group, 2012. Nationwide post event survey and analysis of the 2011 Tohoku earthquake tsunami. Coastal Eng. J. 54 (1), 1250001.
  25. Morison, J.R., Johnson, J.W., Schaaf, S.A., 1950. The force exerted by surface waves on piles. J. Petrol. Technol. 2 (5), 149-154. https://doi.org/10.2118/950149-G
  26. OpenFOAM Version 2.2 [Computer Software]. OpenFOAM Foundation Ltd., London.
  27. Pope, S.B., 2000. Turbulent Flows. Cambridge University Press, Cambridge, U.K.
  28. Ramirez, J., Frigaard, P., Andersen, T.L., Vos, L.D., 2013. Large scale model test investigation on wave run-up in irregular waves at slender piles. Coast. Eng. 72 (2), 69-79. https://doi.org/10.1016/j.coastaleng.2012.09.004
  29. Sarpkaya, T., Isaacson, M., 1981. Mechanics of Wave Forces on Offshore Structures. Van Nostrand Reinhold Company, New York, U.S.A.
  30. Smagorinsky, J., 1963. General circulation experiments with the primitive equations. Mon. Weather Rev. 91 (3), 99-164. https://doi.org/10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
  31. Titov, V., Rabinovich, A.B., Mofjeld, H.O., Thomson, R.E., Gonzalez, F.I., 2005. The global reach of the 26 December 2004 Sumatra tsunami. Science 309 (5743), 2045-2048. https://doi.org/10.1126/science.1114576
  32. Vuorinen, V., Chaudhari, A., Keskinen, J.P., 2015. Large-eddy simulation in a complex hill terrain enabled by a compact fractional step OpenFOAM(R) solver. Adv. Eng. Software 79, 70-80. https://doi.org/10.1016/j.advengsoft.2014.09.008
  33. Wienke, J., Oumeraci, H., 2005. Breaking wave impact force on a vertical and inclined slender pile-theoretical and large-scale model investigations. Coast. Eng. 52 (5), 435-462. https://doi.org/10.1016/j.coastaleng.2004.12.008
  34. Wienke, J., Sparboom, U., Oumeraci, H., 2000. Breaking wave impact on a slender cylinder. In: Proceedings of the 27th International Conference on Coastal Engineering. ASCE, Sydney, Australia, pp. 1787-1798.
  35. Xiao, H., Huang, W., 2014. Three-dimensional numerical modeling of solitary wave breaking and force on a cylinder pile in a coastal surf zone. J. Eng. Mech. 141 (8), A4014001. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000834
  36. Yao, Y., Tang, Z., He, F., Yuan, W., 2018. Numerical investigation of solitary wave interaction with a double-row of vertical slotted piles. J. Eng. Mech. 144 (1), 04017147. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001381
  37. Yoshizawa, A., Horiuti, K., 1985. A statistically-derived subgrid-scale kinetic energy model for the large-eddy simulation of turbulent flows. J. Phys. Soc. Jpn. 54 (8), 2834-2839. https://doi.org/10.1143/JPSJ.54.2834

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