Journal of Hydrodynamics

, Volume 30, Issue 1, pp 70–78 | Cite as

Numerical study of the wave-induced slamming force on the elastic plate based on MPS-FEM coupled method

  • Cheng-ping Rao (饶成平)
  • De-cheng Wan (万德成)
Special Column on SPHERIC2017 (Guest Editors Mou-bin Liu, Can Huang, A-man Zhang)
  • 28 Downloads

Abstract

Slamming is the phenomenon of structure impacting the water surface. It always results in the extremely high load on the structure. This paper is mainly concerned with the slamming force caused by the wave-plate interaction. In this paper, the process of solitary wave impacting onto the horizontal plate is simulated with the help of the moving particle semi-implicit and finite element coupled method (MPS-FEM). The MPS method is adopted to calculate the fluid domain while the structural domain is solved by FEM method. In the first series of simulations, the profiles of the solitary waves with various amplitudes, which are generated in the numerical wave tank, are compared with the theoretical results. Thereafter the interaction between the solitary waves and a rigid plate is simulated. The effects of wave amplitude, as well as the elevation of the plate above the initial water level, on the slamming force are numerically investigated. The calculated results are compared with the available experimental data. Finally, the interactions between the solitary waves and the elastic plate are also simulated. The effects of the structural flexibility on the wave-induced force are analyzed by the comparison between the cases with elastic and the rigid plate.

Keywords

Slamming moving particle semi-implicit (MPS) finite element method (FEM) fluid-structure interaction MPSFEMSJTU solver 

Notes

Acknowledgements

This work was supported by the Chang Jiang Scholars Program (Grant No. T2014099), the Shanghai Excellent Academic Leaders Program (Grant No. 17XD1402300), the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning (Grant No. 2013022), the Innovative Special Project of Numerical Tank of Ministry of Industry and Information Technology of China (Grant No. 2016-23/09) and the Lloyd's Register Foundation for Doctoral Candidate, to which the authors are most grateful.

References

  1. [1]
    Seiffert B., Hayatdavoodi M., Ertekin R. C. Experiments and computations of solitary-wave forces on a coastalbridge deck. Part I: Flat plate [J]. Coastal Engineering, 2014, 88: 194–209.CrossRefGoogle Scholar
  2. [2]
    Greco M., Colicchio G., Faltinsen O. M. Bottom slamming for a very large floating structure: coupled global and slamming analyses [J]. Journal of Fluids and Structures, 2009, 25(2): 420–430.CrossRefGoogle Scholar
  3. [3]
    Abrate S. Hull Slamming [J]. Applied Mechanics Reviews, 2011, 64(6): 060803.CrossRefGoogle Scholar
  4. [4]
    Liu X., Sakai S. Time domain analysis on the dynamic response of a flexible floating structure to waves [J]. Journal of Engineering Mechanics, 2002, 128(1): 48–56.CrossRefGoogle Scholar
  5. [5]
    Korobkin A. A., Khabakhpasheva T. I. Regular wave impact onto an elastic plate [J]. Journal of Engineering Mathematics, 2006, 55(1-4): 127–150.MathSciNetCrossRefMATHGoogle Scholar
  6. [6]
    Liao K., Hu C. A coupled FDM-FEM method for free surface flow interaction with thin elastic plate [J]. Journal of Marine Science and Technology, 2013, 18(1): 1–11.CrossRefGoogle Scholar
  7. [7]
    Zhang A. M., Sun P. N., Ming F. R. et al. Smoothed particle hydrodynamics and its applications in fluid-structure interactions [J]. Journal of Hydrodynamics, 2017, 29(2): 187–216.CrossRefGoogle Scholar
  8. [8]
    Lucy L. B. A numerical approach to the testing of the Fission hypothesis [J]. The Astronomical Journal, 1977, 82: 1013–1024.CrossRefGoogle Scholar
  9. [9]
    Gingold R. A., Monaghan J. J. Smoothed particle hydrodynamics: Theory and application to non-spherical stars [J]. Monthly Notices of the Royal Astronomical Society, 1977, 181(3): 375–389.CrossRefMATHGoogle Scholar
  10. [10]
    Koshizuka S., Oka Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid [J]. Nuclear Science and Engineering, 1996, 123(3): 421–434.CrossRefGoogle Scholar
  11. [11]
    Liu M. B., Li S. M. On the modeling of viscous incomepressible flows with smoothed particle hydrodynamics [J]. Journal of Hydrodynamics, 2016, 28(5): 731–745.CrossRefGoogle Scholar
  12. [12]
    Attaway S. W., Heinstein M. W., Swegle J. W. Coupling of smooth particle hydrodynamics with the finite element method [J]. Nuclear Engineering and Design, 1994, 150(2-3): 199–205.CrossRefGoogle Scholar
  13. [13]
    Antoci C., Gallati M., Sibilla S. Numerical simulation of fluid–structure interaction by SPH [J]. Computers and Structures, 2007, 85(11): 879–890.CrossRefGoogle Scholar
  14. [14]
    Fourey G., Oger G., Le Touzé D. et al. Violent fluidstructure interaction simulations using a coupled SPH/FEM method [J]. Iop Conference Series: Materials Science and Engineering, 2010, 10(1): 012041.CrossRefGoogle Scholar
  15. [15]
    Yang Q., Jones V., McCue L. Free-surface flow interactions with deformable structures using an SPH-FEM model [J]. Ocean Engineering, 2012, 55(15): 136–147.CrossRefGoogle Scholar
  16. [16]
    Sun Z., Djidjeli K., Xing J. et al. Coupled MPS-modal superposition method for 2D nonlinear fluid-structure interaction problems with free surface [J]. Journal of Fluids and Structures, 2016, 61: 295–323.CrossRefGoogle Scholar
  17. [17]
    Lee C. J. K., Noguchi H., Koshizuka S. Fluid–shell structure interaction analysis by coupled particle and finite element method [J]. Computers and Structures, 2007, 85(11): 688–697.CrossRefGoogle Scholar
  18. [18]
    Rao C., Zhang Y., Wan D. Numerical simulation of the solitary wave interacting with an elastic structure using MPS-FEM coupled method [J]. Journal of Marine Science and Application, 2017, 16: 1–10.CrossRefGoogle Scholar
  19. [19]
    Zhang Y., Chen X., Wan D. An MPS-FEM coupled method for the comparative study of liquid sloshing flows interacting with rigid and elastic baffles [J]. Applied Mathematics and Mechanics, 2016, 37(12): 1359–1377.Google Scholar
  20. [20]
    Zhang Y., Tang Z., Wan D. Numerical investigations of waves interacting with free rolling body by modified MPS method [J]. International Journal of Computational Methods, 2016, 13(4): 1641013.MathSciNetCrossRefMATHGoogle Scholar
  21. [21]
    Zhang Y., Wan D. Numerical study of interactions between waves and free rolling body by IMPS method [J]. Computers and Fluids, 2017, 155: 124–133.MathSciNetCrossRefGoogle Scholar
  22. [22]
    Mitsume N., Yoshimura S., Murotani K. et al. Improved MPS-FE fluid-structure interaction coupled method with MPS polygon wall boundary model [J]. Computer Modeling in Engineering and Sciences, 2014, 101(4): 229–247.MathSciNetMATHGoogle Scholar
  23. [23]
    Hwang S. C., Khayyer A., Gotoh H. et al. Development of a fully Lagrangian MPS-based coupled method for simulation of fluid-structure interaction problems [J]. Journal of Fluids and Structures, 2014, 50(2): 497–511.CrossRefGoogle Scholar
  24. [24]
    Zhang Y., Wan D. Apply MPS method to simulate liquid sloshing in LNG tank [J]. Phytotherapy Research, 2012, 29(12): 1843–1857.CrossRefGoogle Scholar
  25. [25]
    Tanaka M., Masunaga T. Stabilization and smoothing of pressure in MPS method by quasi-compressibility [J]. Journal of Computational Physics, 2010, 229(11): 4279–4290.CrossRefMATHGoogle Scholar
  26. [26]
    Lee B. H., Park J. C., Kim M. H.et al. Step-by-stepimprovement of MPS method in simulating violent free-surfacemotions and impact-loads [J]. Computer Methods in Applied Mechanics and Engineering, 2011, 200(9-12): 1113–1125.CrossRefMATHGoogle Scholar
  27. [27]
    Iura M., Atluri S. N. Dynamic analysis of planar flexible beams with finite rotations by using inertial and rotating frames [J]. Computers and Structures, 1995, 55(3): 453–462.CrossRefMATHGoogle Scholar
  28. [28]
    Hsiao K. M., Lin J. Y., Lin W. Y. A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams [J]. Computer Methods in Applied Mechanics and Engineering, 1999, 169(1-2): 1–18.CrossRefMATHGoogle Scholar
  29. [29]
    Rao C., Zhang Y., Wan D. FSI analysis of solitary wave interacting with horizontal flexible plate by MPS-FEM method [C]. Proceedings of 27th International Offshore and Polar Engineering Conference, San Francisco, California, USA, 2017, 263–272.Google Scholar
  30. [30]
    Goring D. G. Tsunamis-the propagation of long waves onto a shelf [D]. Doctoral Thesis, Pasadena, California, USA: California Institute of Technology, 1978.Google Scholar

Copyright information

© China Ship Scientific Research Center 2018

Authors and Affiliations

  • Cheng-ping Rao (饶成平)
    • 1
    • 2
  • De-cheng Wan (万德成)
    • 1
    • 2
  1. 1.State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil EngineeringShanghai Jiao Tong UniversityShanghaiChina
  2. 2.Collaborative Innovation Center for Advanced Ship and Deep-Sea ExplorationShanghaiChina

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