Two-dimensional resonant piston-like sloshing in a moonpool

Journal of Fluid Mechanics

Volumn 575, Issue , 2007, Pages 359-397

  Faltinsen, Odd M ^a   Rognebakke, Olav F ^a   Timokha, Alexander N ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; HULLS (SHIP); VORTEX FLOW; VORTEX SHEDDING;

FREE-SURFACE NONLINEARITY; HARMONIC EXCITATION; MOONPOOL; SUBMERGED STRUCTURES;

LIQUID SLOSHING;

FLUID DYNAMICS; HULLS (SHIP); LIQUID SLOSHING; VORTEX FLOW; VORTEX SHEDDING;

DISCRETE ELEMENT METHOD; EXPERIMENTAL STUDY; FLOW MODELING; NONLINEARITY; STEADY-STATE EQUILIBRIUM; SUBMERGED BODY; THEORETICAL STUDY; VORTEX SHEDDING;

EID: 33947140332     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200600440X     Document Type: Article

References (41)

1. Aubin, J.-P. 1972 Approximation of Elliptic Boundary-Value Problems. John Wiley & Sons.
2. Bai, K. J. & Yeung, R. W. 1974 Numerical solutions to free-surface flow problems. Proc. Tenth Symposium on Naval Hydrodynamics: Hydrodynamics of Safety Fundamental Hydrodynamics, June, 24-28, 1974, Cambridge, MA (ed. R. D. Cooper & S. W. Doroff). ACR-204, pp. 609-647. Office of Naval Research-Department of Navy, Arlington, VA.
3. Courant, R. & Hilbert, D. 1953 Methods of Mathematical Physics, Volume 1. Interscience Publishers.
4. Downie, M. J., Bearman, P. W. & Graham, J. M. R. 1988 Effect of vortex shedding on the coupled roll response of bodies in waves. J. Fluid Mech. 189, 243-264.
5. Drobyshevski, Y. 2004 Hydrodynamic coefficients of a two-dimensional, truncated rectangular floating structure in shallow water. Ocean Engng 31, 305-341.
6. p[0, 1] for 0 < p < ∞. J. Anal. Maths 84, 145-172.
7. Faltinsen, O. M. 1974 A nonlinear theory of sloshing in rectangular tanks. J. Ship Res. 18, 224-241.
8. Faltinsen, O. M. 1990 Sea Loads on Ships and Offshore Structures. Cambridge University Press.
9. Faltinsen, O. M., Rognebakke, O. F., Lukovsky, I. A. & Timokha, A. N. 2000 Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. J. Fluid Mech. 407, 201-234.
10. Faltinsen, O. M., Rognebakke, O. F. & Timokha, A. N. 2003 Resonant three-dimensional nonlinear sloshing in a square base basin. J. Fluid Mech. 487, 1-42.
11. Faltinsen, O. M., Rognebakke, O. F. & Timokha, A. N. 2006 Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finite fluid depth. Phys. Fluids 18, 012103.
12. Faltinsen, O. M. & Timokha, A. N. 2001 Adaptive multimodal approach to nonlinear sloshing in a rectangular rank. J. Fluid Mech. 432, 167-200.
13. Gavrilyuk, I. P., Lukovsky, I. A., Trotsenko, V. A. & Timokha, A. N. 2006 Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions. J. Engng Maths 54, 71-88.
14. Graham, J. M. R. 1977 Vortex shedding from sharp edges. Imp. Coll. Aero. London, Rep. 77-06.
15. Graham, J. M. R. 1980 The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers. J. Fluid Mech. 97, 331-346.
16. Grisvard, P. 1985 Elliptic Problems in Nonsmooth Domains. Pitman.
17. Hirata, K. & Craik, A. D. D. 2003 Nonlinear oscillations in three-armed tubes. Eur. J. Mech. B/Fluids 22, 328.
18. Kan, M. 1977 The added mass coefficient of a cylinder oscillating in shallow water in the limit K → 0 and K → ∞. Papers of Ship Research Institute, No. 52, 21pp.
19. Kuznetsov, N., Maz'ya, V. & Vainberg, B. 2002 Linear Water Waves. A Mathematical approach Cambridge University Press.
20. Kuznetsov, N., McIver, P. & Linton, C. M. 2001 On uniqueness and trapped modes in the water-wave problem for vertical barriers. Wave Motion 33, 283-307.
21. Lewis, R. I. 1991 Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems. Cambridge University Press.
22. Maisondieu, C., Molin, B., Kimmoun, O. & Gentaz, L. 2001 Simulation bidmensionnelle des écoulements dans une baie de forage: étude des modes de résonance et des amortissements. Actes des Huitièmes Journées de l'Hydrodynamique, Nantes, pp. 251-264 (in French).
23. Mavrakos, S. A. 2004 Hydrodynamic coefficients in heave of two concentric surface-piercing truncated circular cylinders. Appl. Ocean Res. 26, 84-97.
24. McIver, M. 1996 An example of non-uniqueness in the two-dimensional linear water wave problem. J. Fluid Mech. 315, 257-266.
25. McIver, P. 2005 Complex resonances in the water-wave problem for a floating structure. J. Fluid Mech. 536, 423-443.
26. McIver, P. & Linton, C. M. 1991 The added mass of bodies heaving at low frequency in water of finite depth. Appl. Ocean Res. 13, 12-17.
27. McIver, P., McIver, M. & Zhang, J. 2003 Excitation of trapped water waves by the forced motion of structures. J. Fluid Mech. 494, 141-162.
28. Miles, J. 2004 Slow nonlinear oscillations in a circular well. J. Fluid Mech. 498, 403-406.
29. Molin, B. 2001 On the piston and sloshing modes in moonpools. J. Fluid Mech. 430, 27-50.
30. Molin, B. 2004 On the frictional damping in roll of ship sections. Intl Shipbuild. Progr. 51, No. 1, 59-85.
31. Molin, B., Remy, F., Kimmoun, O. & Stassen, Y. 2002 Experimental study of the wave propagation and decay in a channel through a rigid ice-sheet. Appl. Ocean Res. 24, 247-260.
32. Müntz, C. 1914 Über den Approximationsatz von Weierstrass. H.A. Schwartz Festschift, Berlin.
33. Newman, J. N. 1977 Marine Hydrodynamics. MIT Press.
34. Newman, J. N. 1999 Radiation and diffraction analysis of the McIver toroid. J. Engng Maths 35, 135-147.
35. Ohkusu, M. 1970 On the motions of multihull ships in waves. Report of Research Institute of Applied Mechanics, Kyushu University, V. XVIII, N 60.
36. Ohkusu, M. & Takaki, M. 1971 On the motions of multihull ships in waves (II). Report of Research Institute of Applied Mechanics, Kyushu University, V. XIX, N 62.
37. Porter, R. & Evans, D. V. 1995 Complementary approximations to wave scattering by vertical barriers. J. Fluid Mech. 294, 155-180.
38. Sarpkaya, T. & Isaacson, M. 1981 Mechanics of Wave Forces on Offshore Structures. Van Nostrand Reinhold.
39. Singh, S. 1979 Forces on bodies in oscillatory flow. PhD thesis, University of London.
40. Vinje, T. 1991 An approach to non-linear solution of the oscillating water column. Appl. Ocean Res. 13, 18-36.
41. Williams, A. N. & Abul-Azm, A. G. 1997 Dual pontoon floating breakwater. Ocean Engng 24, 465-478.