Simulating the interaction of solitary wave and submerged horizontal plate using SPH method

  • Authors

    • Mirhossein Aghili Amirkabir University of Technology, Iran
    • Parviz Ghadimi Amirkabir University of Technology, Iran
    • Yaser Faghfoor Maghrebi Amirkabir University of Technology, Iran
    • Hashem Nowruzi Amirkabir University of Technology, Iran
    2014-06-02
    https://doi.org/10.14419/ijpr.v2i2.2451
  • In the current study, weekly compressible smooth particle hydrodynamics (WCSPH) method is implemented to simulate solitary wave interaction with horizontal submerged plate at four different vertical positions. To accomplish this task, MLS density filter is applied to reduce the pressure fluctuations. Moreover, Symplectic scheme with dynamic boundary particle (DBP) is considered. Free surface profile, pressure, and vertical component of the wave force on the horizontal plate parameters are computed in this study. The obtained numerical results of solitary wave and its interaction with a horizontal plate are compared against existing experimental data and very good compliance is achieved. CFD results indicate that as distance of the horizontal plate from free surface decreases, wave energy reduces significantly. On the other hand, with an increase in horizontal plate distance from the seabed, vertical component of wave force and its pressure component substantially decrease.

    Keywords: WCSHP; submerged horizontal plate; pressure; wave force; solitary wave.

    Author Biography

    • Parviz Ghadimi, Amirkabir University of Technology, Iran
      I am an Associate Professor of Hydromechanics and the Associate Chair of Education in the Dept. of Marine Technology at Amirkabir University of Technology.
  • References

    1. Yu, X.; “Functional performance of a submerged and essentially horizontal plate for offshore wave control: a review”, Coastal Eng. J, 2002, p.p. 127–147
    2. Mikio, T.; “Hydrodynamic forces on a submerged plate”, Proceedings of the Eleventh International Offshore and Polar Engineering Conferece Stavanger, Norway, 2001,p.p. 17-22
    3. Ohyama, T.; Kioka, W.; Tada, A.; “Applicability of numrtical models to nonlinear dispersive waves”, J.Coastal Eng, 1995,p.p. 297-313
    4. Pinto, F.; “Regular water wave measurements near submerged breakwaters”, Mwas. Sci. Technol, 2005, p.p. 1883-1888
    5. Chang, K. A.; Hsu, T. J.; Liu P. L. F.; “Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle, Part I. Solitary wave”, Coastal Engineering, 2001, p.p. 13-36
    6. Orer, G.; Ozdamar, A.; “An experimental study on the efficiency of the submerged plate wave energy converter”, Renewable Energy, 2006, p.p. 1317-1327
    7. Akinori, Y.; Shuguang Y.; Masaru, Y.; and Isao I.;” Wave field behind a double-submerged breakwater”, International Offshore and Polar Engineering Conference,2002
    8. Hong Bin, Ch.; Ching Piao, T.; and Chun Chieh, J.;” Wave transformation between submerged breakwater and seawall”, Journal of Coastal Research,2007
    9. Wan, D.; Wu, G.;” Numerical simulation of solitary wave interaction with submerged multi bodies”, journal of mechanical press, 1998
    10. Monaghan, J.J.; Kos, A.; Issa, N.; “Fluid motion generated by impact”, Journal of the Waterway Port, Coastal and Ocean Division, Vol. 129, 2003, p.p. 250-259,
    11. Shao, S.; “SPH simulation of solitary wave interaction with a curtain-type breakwater”, Journal of Hydraulic Research, Vol. 43, 2005, p.p. 366-375
    12. Gómez, M.; Dalrymple, R.A.; “Using a 3D SPH method for wave impact on a tall structure”, Journal of the Waterway Port, Coastal and Ocean Division, Vol. 130, 2004, p.p. 63-69
    13. Rogers, B.; Dalrymple, R.; Stansby, P.; “Simulation of caisson breakwater movement using 2-D SPH”, Journal of Hydraulic Research, Vol. 48, 2010, p.p. 135–141
    14. Lee, E.S.; Violeau, D.; Benoit, M.; Issa, R.; Laurence, D.; and Stansby, P.; “Prediction of wave overtopping on coastal structures by using extended Boussinesq and SPH models”, Proc. 30th International Conference on Coastal Engineering, 2006, p.p.4727-4740
    15. Crespo, A.; “Application of the smoothed particle hydrodynamics model SPHysics to free surface hydrodynamics”, Ph.D. thesis, University of De Vigo, 2008
    16. Liu, Ch.; Zhang, J.; Sun, Y.;” The optimization of sph method and its application in simulation of water wave”, Seventh International Conference on Natural Computation,2011
    17. Hayatdavoodi, M.; Ertekin, R.C.; “Nonlinear forces on a Submerged, Horizontal Plate: The G-N Theory”, Proc. of the 27th Int. Workshop on Water Waves and Floating Bodies, Copenhagen, 2012, p.p. 22-25,
    18. Green, A.E.; Naghdi, P.M.; “Directed fluid sheets in Proceedings of the Royal Society of London”, Mathematical and Physical Sciences, Vol. 347, 1976, p.p. 447–473
    19. Ghadimi, P.; Abtahi, Sh.; Dashtimanesh, A.; “Numerical Simulation of Solitary Waves by SPH Method and Parametric Studies on the Effect of Wave Height to Water Depth Ratio“, International Journal of Engineering and Technology, 2012, p.p. 453-465
    20. Safinaz, El,; “ SPH modeling of solitary waves and resulting hydrodynamic forces on vertical and sloping walls“, Department of Civil Engineering University of Ottawa, October. 2012
    21. Monaghan, J.J.; Kos, A.; “Solitary waves on a cretan beach”, J. Waterway, Port, Coastal and Ocean Engineering, Vol.125, 1999, p.p.145-154
    22. Loa, Y.M.; Shao, S.; “Simulation of near-shore solitary wave mechanics by an incompressible SPH method”, Applied Ocean Research, Vol.24, 2002, p.p.275–286,
    23. Dalrymple, R.A.; Rogers, B.D.; “Numerical modeling of water waves with the SPH method”, Coastal Engineering, Vol. 53, 2005
    24. Liggett. JA. Fluid Mechanics. McGraw-Hill: New York, 1994.
    25. Liu, G. R.; Liu, M. B.; “Smoothed Particle Hydrodynamics -A Meshfree Particle Method”, World Scientific, 2003
    26. Monaghan, J.J.; “Smoothed particle hydrodynamics”, Reports on Progress in Physics, 2005, p.p. 1703-1759,
    27. Monaghan, J.J.; “Smoothed particle hydrodynamics”, Annual Review of Astronomy and Astrophysics, Vol. 30, 1992, p.p. 543-574
    28. Monaghan, J.J.; Lattanzio, J.C.; “A refned method for astrophysical problems”,Astron. Astrophys, 1985, p.p. 135-143
    29. Batchelor, G.; “An introduction to fluid dynamics”, Cambridge University Press, 1967.
    30. Rogers, B.D.; Dalrymple, R.A.; “SPH modeling of breaking waves”, Proc. 29th Intl. Conference on Coastal Engineering, 2004, p.p. 415– 427
    31. Monaghan J.J.,“On the problem of penetration in particle methods”, J. Comput. Phys., Vol., 82, 1989, p.p. 1–15
    32. Verlet, L.; “Computer experiments on classical fluids”, I. Thermodynamical Properties of Lennard-Jones Molecules. Phys., p.p. 98-103,1967.
    33. Narayanaswamy, M.S.; Crespo, A.J.C.; Gómez, M.;¬ Dalrymple, R.A.;“ SPHysics-Funwave hybrid model for coastal wave propagation”, Journal of Hydraulic Research, 2010.
    34. Monaghan, JJ. “Simulating free surface flows with SPH”, Journal of Computational Physics, 1994, p.p. 399–406
    35. Colagrossi, A.; Landrini, M.; “Numerical simulation of interfacial flows by smoothed particle hydrodynamics”, J. Comput. Phys, 2003,p.p. 448–75
    36. Dilts, G.A.; “Moving least squares hydrodynamics: consistency and stability”, Int. J. Numer. Methods, 44,1999
    37. Panizzo, A.; Dalrymple, R.A.; “SPH modeling of underwater landslide generated waves”, Proc. 29th, International Conference on Coastal Engineering, 2004, p.p. 1147-1159
    38. Goring, D.G.; “Tsunamis the propagation of long waves onto a shelf”, W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, 1978
    39. Sangita, M.; “Computation of Solitary Waves during Propagation and Run-up on a Slope”, J. Ocean Engineering, Vol.26, 1999.
  • Downloads

  • How to Cite

    Aghili, M., Ghadimi, P., Faghfoor Maghrebi, Y., & Nowruzi, H. (2014). Simulating the interaction of solitary wave and submerged horizontal plate using SPH method. International Journal of Physical Research, 2(2), 16-26. https://doi.org/10.14419/ijpr.v2i2.2451