Ocean Systems Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Water impact of three dimensional wedges using CFD

  • Nair, Vinod V. (Department of Ocean Engineering, Indian Institute of Technology Madras) ;
  • Bhattacharyya, S.K. (Department of Ocean Engineering, Indian Institute of Technology Madras)
  • Received : 2018.03.14
  • Accepted : 2018.06.16
  • Published : 2018.06.25
⟨ Previous Next ⟩

Abstract

In this paper the results of CFD simulations, that were carried out to study the impact pressures acting on a symmetric wedge during water entry under the influence of gravity, are presented. The simulations were done using a solver implementing finite volume discretization and using the VOF scheme to keep track of the free surface during water entry. The parameters such as pressure on impact, displacement, velocity, acceleration and net hydrodynamic forces, etc., which govern the water entry process are monitored during the initial stage of water entry. In addition, the results of the complete water entry process of wedges covering the initial stage where the impact pressure reaches its maximum as well as the late stage that covers the rebound process of the buoyant wedge are presented. The study was conducted for a few touchdown velocities to understand its influence on the water entry phenomenon. The simulation results are compared with the experimental measurements available in the literature with good accuracy. The various computational parameters (e.g., mesh size, time step, solver, etc.) that are necessary for accurate prediction of impact pressures, as well as the entry-exit trajectory, are discussed.

Keywords

References

  1. Abrate, S. (2013), "Hull Slamming", Appl. Mech. Rev., 64(6), 1-35.
  2. Aquelet, N., Souli, M. and Olovsson, L. (2006), "Euler-Lagrange coupling with damping effects: application to slamming problems", Comput. Method. Appl. M., 195(1-3), 110-132. https://doi.org/10.1016/j.cma.2005.01.010
  3. Arhan, M., Deleuil, G. and Doris, C.G. (1978), "Experimental study of the impact of horizontal cylinders on a water surface", Proceedings of the 10th Annual Offshore Technology Conference, Houston, Texas, May.
  4. Bisplinghoff, R.L. and Doherty, C.S. (1952), "Some studies of the impact of vee wedges on a water surface", J. Franklin Inst., 253, 547-560. https://doi.org/10.1016/0016-0032(52)90674-1
  5. Campbell, I.M.C. and Weynberg, P.A. (1980), Measurement of parameters affecting slamming, Report No. 440, Wolfson Unit for Marine Technology, Technology Reports Center No.OTR-8042.
  6. Carcaterra, A. and Ciappi, E. (2004), "Hydrodynamic shock of elastic structures impacting on the water: theory and experiments", J. Sound Vib., 271, 411-439. https://doi.org/10.1016/j.jsv.2003.02.005
  7. Chen, Q., Ni, B., Chen, S. and Tang, J. (2014),"Numerical simulation of the water entry of a structure in free fall motion", J. Mar. Sci. Appl., 13, 173-177. https://doi.org/10.1007/s11804-014-1242-1
  8. Chuang, S.L. (1966), Slamming of rigid wedge shaped bodies with various deadrise angles, DTMB Report No. 2268.
  9. Colicchio, G., Greco, M., Miozzi, M. and Lugni, C. (2009), "Experimental and numerical investigation of the water-entry and water-exit of a circular cylinder", Proceedings of the International Workshop on Water Waves and Floating Bodies, Zelegonorsk, Russia.
  10. Davis, M.R. and Whelan, J.R. (2007), "Computation of wet deck bow slam loads for Catamaran arched cross sections", Ocean Eng., 34, 2265-2276. https://doi.org/10.1016/j.oceaneng.2007.06.001
  11. Engle, A. and Lewis, R. (2003), "A comparison of hydrodynamic impacts prediction methods with two dimensional drop test data", Mar. Struct., 16, 175-182. https://doi.org/10.1016/S0951-8339(02)00026-6
  12. Fairlie-Clarke, A.C. and Tveitnes, T. (2008), "Momentum and gravity effects during the constant velocity water entry of wedge shaped sections", Ocean Eng., 35, 706-716. https://doi.org/10.1016/j.oceaneng.2006.11.011
  13. Faltinsen, O.M. (2005), Hydrodynamics of High-Speed Marine Vehicles, Cambridge University Press.
  14. FLOW3D user manual (2013), Version 10.1, Flow Science Inc.
  15. Gong, K., Liu, H. and Wang, B.L. (2009), "Water entry of a wedge based on SPH model with an improved boundary treatment", J. Hydrodynam., 21(6), 750-757. https://doi.org/10.1016/S1001-6058(08)60209-7
  16. Greenhow, M. (1987), "Wedge entry into initially calm water", Appl. Ocean Res., 9, 214-223. https://doi.org/10.1016/0141-1187(87)90003-4
  17. Greenhow, M. and Lin, W.M. (1983), Non-linear free surface effects: Experiments and Theory, Report No. 83-19, MIT, Dept. of Ocean Engineering.
  18. Judge, C., Troesch, A. and Perlin, M. (2004), "Initial water impact of a wedge at vertical and oblique angles", J. Eng. Math., 48, 279-303. https://doi.org/10.1023/B:engi.0000018187.33001.e1
  19. Kleefsman, K.M.T., Fekken, G., Veldman, A.E.P., Iwanowski, B. and Buchner, B. (2005), "A volume-of-fluid based simulation method for wave impact problems", J. Comput. Phys., 206, 363-393. https://doi.org/10.1016/j.jcp.2004.12.007
  20. Korobkin, A.A. and Pukhnachov, V.V. (1988), "Initial stage of water impact", Annu. Rev. Fluid Mech., 10, 159-185.
  21. Lange, N.A. and Rung, T. (2011), "Impact tests in pure and aerated water", Proceedings of the 30th International Conference on Ocean, Offshore and Arctic Engineering, Rotterdam, Netherlands.
  22. Lewis, S.G., Hudson, D.A., Turnock, S.R. and Taunton, D.J. (2010), "Impact of a free-falling wedge with water: synchronized visualization, pressure and acceleration measurements", Fluid Dyn. Res., 42(3), 035509. https://doi.org/10.1088/0169-5983/42/3/035509
  23. Lin, P. (2007), "A fixed-grid model for simulation of a moving body in free surface flows", Comput. Fluids, 36, 549-561. https://doi.org/10.1016/j.compfluid.2006.03.004
  24. Lin, M.C. and Shieh L.D. (1997), "Flow visualization and pressure characteristics of a cylinder for water impact", Appl. Ocean Res., 19(2), 101-112. https://doi.org/10.1016/S0141-1187(97)00014-X
  25. Luo, H.B., Wang, S. and Guedes Soares, C. (2011), "Numerical prediction of slamming loads on rigid wedge subjected to water entry using an explicit finite element method", (Eds., Guedes Soares C. and Fricke W.), Advances in Marine Structures. Taylor & Francis, UK.
  26. Miao, G. (1989), Hydrodynamic Forces and Dynamic Responses of Circular Cylinders in Wave Zones. Ph.D. Thesis, Department of Marine Hydrodynamics, NTH, Trondheim.
  27. Miloh, T. (1991), "On the initial-stage slamming of a rigid sphere in a vertical water entry", Appl. Ocean Res., 1(1), 34-48.
  28. Muzaferija, S., Peric, M., Sames, P.C. and Schellin, T.E. (1998), "A two fluid Navier-Stokes solver to simulate water entry", Proceedings of the 22nd Symp. on Naval Hydrodynamics, Washington D.C.
  29. Nair, V.V. and Bhattacharyya, S.K. (2015), Water entry and exit of axisymmetric bodies by CFD approach. (under review).
  30. Oger, G., Doring, M., Alessandrini, B. and Ferrant, P. (2006), "Two-dimensional SPH simulations of wedge water entries", J. Comput. Phys., 213(2), 803-822. https://doi.org/10.1016/j.jcp.2005.09.004
  31. Sarpkaya, T. (1978), "Wave impact loads on cylinders", Proceedings of the 10th Annual Offshore Technology Conference, Paper No. OTC 3065, Houston, Texas, May.
  32. Sicilian, J.M. (1990), A FAVOR based moving obstacle treatment for FLOW3D, Flow Science Technical Note #23 (FSI-90-TN23), Flow Science Inc.
  33. Stenius, I., Rosen, A. and Kuttenleuler, J. (2006), "Explicit FE-modeling of fluid-structure interaction in hull-water impacts", Int. Shipbuild. Progress, 53(2), 103-121.
  34. Tveitnes, T., Fairlie-Clarke, A.C. and Varyani, K. (2008), "An experimental investigation into the constant velocity water entry of wedge-shaped sections", Ocean Eng., 35(14-15), 1463-1478. https://doi.org/10.1016/j.oceaneng.2008.06.012
  35. Van Nuffel, D., Vepa, K.S., De Baere, I., Lava, P., Kersemans, M., Degrieck, J., De Rouck, J. and Van Paepegem, W. (2014), "A comparison between the experimental and theoretical impact pressures acting on a horizontal quasi-rigid cylinder during vertical water entry", Ocean Eng., 77, 42-54. https://doi.org/10.1016/j.oceaneng.2013.11.019
  36. von Karman, T. (1929), The impact of seaplane during landing, NACA TN 321.
  37. Wagner, H. (1932), Phenomena associated with impacts and sliding on liquid surfaces, Zeitschrift fur Angewandte Mathematik und Mechanik.
  38. Wei, G. (2005), A fixed mesh method for general moving objects, Flow Science Technical Note #73 (FSI-05-TN73), Flow Science Inc.
  39. Wu, G.X., Sun, H. and He, Y.S. (2004), "Numerical simulation and experimental study of water entry of a wedge in free fall motion", J. Fluid. Struct., 19, 277-289. https://doi.org/10.1016/j.jfluidstructs.2004.01.001
  40. Yang, J.M. and Stern, F. (2009), "Sharp interface immersed-boundary/level- set method for wave-body interactions", J. Comput. Phys., 228(17), 6590-6616. https://doi.org/10.1016/j.jcp.2009.05.047
  41. Yang, Q. and Qiu, W. (2012a), "Numerical simulation of water impact for 2D and 3D bodies", Ocean Eng., 43, 82-89. https://doi.org/10.1016/j.oceaneng.2012.01.008
  42. Yang, Q. and Qiu, W. (2012b), "Numerical solution of 3D water entry problems with a constrained interpolation profile method", J. Offshore Mech. Arct., 134(4), 041101. https://doi.org/10.1115/1.4006152
  43. Yettou, E.M., Desrochers, A. and Champoux, Y. (2006), "Experimental study on the water impact of a symmetrical wedge", Fluid Dyn. Res., 38(1), 47-66. https://doi.org/10.1016/j.fluiddyn.2005.09.003
  44. Zhang, Y., Zou, Q., Greaves, D., Reeve, D., Hunt-Raby, A., Graham, D., James, P. and Lv, X. (2010), "A level set immersed boundary method for water entry and exit", Commun. Comput. Phys., 8(2), 265-288.
  45. Zhao, R. and Faltinsen, O.M. (1993), "Water entry of two-dimensional bodies", J. Fluid Mech., 246, 593-612. https://doi.org/10.1017/S002211209300028X
  46. Zhao, R., Faltinsen, O. and Aarsnes, J. (1996), "Water entry of arbitrary two-dimensional sections with and without separation", Proceedings of the 21st Symposium on Naval Hydrodynamics, Trondheim, Norway.
  47. Zhu, X., Faltinsen, O.M. and Hu, C. (2007), "Water entry and exit of a horizontal circular cylinder", J. Offshore Mech. Arct., 129(4), 253-264. https://doi.org/10.1115/1.2199558