Advertisement

Journal of Marine Science and Application

, Volume 17, Issue 3, pp 432–442 | Cite as

Numerical Investigation of Green Water Loading on Flexible Structures Using Three-Step CFD-BEM-FEM Approach

  • Sumit Kumar PalEmail author
  • Ravindra Babu Kudupudi
  • Mohammed Rabius Sunny
  • Ranadev Datta
Research Article
  • 44 Downloads

Abstract

In this paper, the effect of green water impact on a flexible structure is studied based on three-step computational fluid dynamics (CFD)–boundary element method (BEM)–finite element method (FEM) approach. The impact due to shipping of water on the deck of the vessel is computed using commercial CFD software and used as an external force in coupled BEM-FEM solver. Other hydrodynamic forces such as radiation, diffraction, and Froude-Krylov forces acting on the structure are evaluated using 3D time domain panel method. To capture the structural responses such as bending moment and shear force, 1D finite element method is developed. Moreover, a direct integration scheme based on the Newmark–Beta method is employed to get the structural velocity, displacement, etc., at each time step. To check the effect of the green water impact on the structure, a rectangular barge without forward speed is taken for the analysis. The influence is studied in terms of bending moment, shear force, etc. Results show that the effect of green water impact on the bow region can be severe in extreme seas and lead to various structural damages. Similarly, it is also verified that vessel motion affects green water loading significantly and therefore one must consider its effect while designing a vessel.

Keywords

Green water loading Computational fluid dynamics 3D time domain panel method Finite element method Newmark–Beta method 

Notes

Acknowledgements

Any opinions, findings, and conclusions or recommendations expressed in this manuscript are those of the writers and do not necessarily reflect those of the Naval Research Board, India.

References

  1. Bathe KJ (1996) Finite element procedures in engineering analysis. Prentice-Hall, Englewood CliffsGoogle Scholar
  2. Buchner B (1995) The impact of green water on FPSO design. Offshore Technology Conference, Houston. pp. 45–47.  https://doi.org/10.4043/7698-MS
  3. Faltinsen OM, Landrini M, Greco M (2004) Slamming in marine applications. J Eng Math 48(3):187–217.  https://doi.org/10.1023/B:engi.0000018188.68304.ae CrossRefzbMATHGoogle Scholar
  4. Faulkner D (2002) An analytical assessment of the sinking of the M.V.Derbyshire. J Ship Ocean Technol 6(4):19–76Google Scholar
  5. Gómez-Gesteira M, Cerqueiro D, Crespo C, Dalrymple RA (2005) Green water overtopping analyzed with a SPH model. Ocean Eng 32(2):223–238.  https://doi.org/10.1016/j.oceaneng.2004.08.003 CrossRefGoogle Scholar
  6. Greco M, Faltinsen OM, Landrini M (2001) Basic studies of water on deck. In Twenty-Third Symposium on Naval Hydrodynamics Office of Naval Research Bassin d'Essais des Carenes National Research Council, Val de Reuil, pp. 126–142Google Scholar
  7. Greco M, Landrini M, Faltinsen OM (2004) Impact flows and loads on ship-deck structures. J Fluids Struct 19(3):251–275.  https://doi.org/10.1016/j.jfluidstructs.2003.12.009 CrossRefGoogle Scholar
  8. Hirdaris SE, Price WG, Temarel P (2003) Two-and three-dimensional hydroelastic modelling of a bulker in regular waves. Mar Struct 16(8):627–658.  https://doi.org/10.1016/j.marstruc.2004.01.005 CrossRefGoogle Scholar
  9. Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39(1):201–225.  https://doi.org/10.1016/0021-9991(81)90145-5 CrossRefzbMATHGoogle Scholar
  10. Kim Y, Kim KH, Kim Y (2009) Analysis of hydroelasticity of floating shiplike structure in time domain using a fully coupled hybrid BEM-FEM. J Ship Res 53(1):31–47Google Scholar
  11. Kim KH, Bang JS, Kim JH, Kim Y, Kim SJ, Kim Y (2013) Fully coupled BEM-FEM analysis for ship hydroelasticity in waves. Mar Struct 33:71–99.  https://doi.org/10.1016/j.marstruc.2013.04.004 CrossRefGoogle Scholar
  12. Kleefsman KMT, Loots GE, Veldman AEP, Buchner B, Bunnik T, Falkenberg E (2005) The numerical simulation of green water loading including vessel motions and the incoming wave field. In OMAE conference, Halkidiki, Greece, pp. 981–992.  https://doi.org/10.1115/OMAE2005-67448
  13. Kudupudi RB, Datta R (2017) Numerical investigation of the effect due to vessel motion on green water impact on deck. In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering, American Society of Mechanical Engineers, Trondheim, Norway (pp. V07AT06A045).  https://doi.org/10.1115/OMAE2017-61054
  14. Lin WM, Yue DKP (1990) Numerical solutions for large-amplitude ship motion in the time domain. In: 18th Symposium on naval hydrodynamics. p. 41–66Google Scholar
  15. Liu M, Gorman DG (1995) Formulation of Rayleigh damping and its extensions. Comput Struct 57(2):277–285.  https://doi.org/10.1016/0045-7949(94)00611-6 CrossRefzbMATHGoogle Scholar
  16. Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech Div 85(3):67–94Google Scholar
  17. Pham XP, Varyani KS (2005) Evaluation of green water loads on high-speed containership using CFD. Ocean Eng 32(5):571–585.  https://doi.org/10.1016/j.oceaneng.2004.10.009 CrossRefGoogle Scholar
  18. Rajendran S, Guedes Soares C (2016) Numerical investigation of the vertical response of a containership in large amplitude waves. Ocean Eng 123:440–451.  https://doi.org/10.1016/j.oceaneng.2016.06.039
  19. Seng S, Jensen JJ, Malenica S (2014) Global hydroelastic model for springing and whipping based on a free-surface CFD code (openFOAM). Int J NavArchit Ocean Eng 6:1024–1040.  https://doi.org/10.2478/IJNAOE-2013-0229 CrossRefGoogle Scholar
  20. Sengupta D, Pal SK, Datta R (2017) Hydroelasticity of a 3D floating body using a semi analytic approach in time domain. Journal of Fluids and Structures 71:96–115.  https://doi.org/10.1016/j.jfluidstructs.2017.03.007 CrossRefGoogle Scholar
  21. Senjanović I, Malenica Š, Tomas S (2007) Investigation of ship hydroelasticity. Ocean Eng 35(5):523–535.  https://doi.org/10.1016/j.oceaneng.2007.11.008 Google Scholar
  22. Senjanović I, Malenica Š, Tomašević S (2008) Hydroelasticity of large container ships. Mar Struct 22(2):287–314.  https://doi.org/10.1016/j.marstruc.2008.04.002 CrossRefGoogle Scholar
  23. Taghipour R, Perez T, Moan T (2009) Time-domain hydroelastic analysis of a flexible marine structure using state-space models. J Offshore Mech Arct Eng Trans Asme 131(1):011603 (1–9).  https://doi.org/10.1115/1.2979800 CrossRefGoogle Scholar
  24. Versteeg HK, Malalasekera W (2007) An introduction to computational fluid dynamics: the finite volume method. Pearson EducationGoogle Scholar
  25. Wu MK, Moan T (1996) Linear and nonlinear hydroelastic analysis of high-speed vessel. J Ship Res 40(2):149–163Google Scholar
  26. Zhao X, Ye Z, Fu Y (2014) Green water loading on a floating structure with degree of freedom effects. J Mar Sci Technol 19(3):302–313.  https://doi.org/10.1007/s00773-013-0249-7 CrossRefGoogle Scholar
  27. Zhu R, Miao G, Lin Z (2009) Numerical research on FPSOs with green water occurrence. J Ship Res 53(1):7–18Google Scholar

Copyright information

© Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Sumit Kumar Pal
    • 1
    Email author
  • Ravindra Babu Kudupudi
    • 1
  • Mohammed Rabius Sunny
    • 1
    • 2
  • Ranadev Datta
    • 1
  1. 1.Department of Ocean Engineering & Naval ArchitectureIndian Institute of Technology KharagpurKharagpurIndia
  2. 2.Department of Aerospace EngineeringIndian Institute of Technology KharagpurKharagpurIndia

Personalised recommendations