Abstract
A time-domain higher-order boundary element method for seakeeping analyses in the framework of linear potential theory is newly developed. Ship waves generated by two modified Wigley models advancing at a constant forward speed in calm water or incident waves and the resultant radiation and diffraction forces are computed to validate this code. A rectangular computational domain moving with the same forward speed as the ship is introduced, in which an artificial damping beach is installed at an outer portion of the free surface except the downstream side for satisfying the radiation condition. The velocity potential on the ship hull and the normal velocity on the free surface are calculated directly by solving the boundary integral equation. An explicit time-marching scheme is employed for updating both kinematic and dynamic free-surface boundary conditions, with an embedding of a second-order upwind difference scheme for the derivative in the x-direction to stabilize the calculation. Extensive results including the exciting forces, added mass and damping coefficients, wave profiles, and wave patterns for blunt Wigley and slender Wigley hulls with forward speed are presented to validate the efficiency of the proposed 3D time-domain approach. The corresponding physical tests of the radiation and diffraction problems in a towing tank are also carried out. Computed numerical results show good agreement with the corresponding experimental data and other numerical solutions.
Similar content being viewed by others
References
Bai W, Eatock Taylor R (2006) Higher-order boundary element simulation of fully nonlinear wave radiation by oscillating vertical cylinders. Appl Ocean Res 28(4):247–265
Bal S (2008) Prediction of wave pattern and wave resistance of surface piercing bodies by a boundary element method. Int J Numer Methods Fluids 56(3):305–329
Bingham HB, Korsmeyer FT, Newman JN, Osborne GE (1994) The simulation of ship motions. In: Proceedings of the sixth international conference on numerical ship hydrodynamics, pp 561–579
Bunnik THJ (1999) Seakeeping calculations for ships, taking into account the nonlinear steady waves. PhD thesis, Delft University of Technology, Netherlands
Chen XB, Diebold L, Doutreleau Y (2000) New green function method to predict wave-induced ship motions and loads. In: Proceedings of 23th symposium on naval hydrodynamics, France, pp 18–33
Datta R, Sen D (2006) A b-spline solver for the forward-speed diffraction problem of a floating body in the time domain. Appl Ocean Res 28(2):147–160
He GH, Kashiwagi M (2009) Nonlinear solution for vibration of a vertical plate and transient waves generated by wave impact. Int J Offshore Polar Eng 19(3):189–197
He GH, Kashiwagi M (2012) Numerical analysis of the hydroelastic behavior of a vertical plate due to solitary waves. J Mar Sci Technol 17(2):154–167
He GH, Kashiwagi M (2012) Time domain simulation of steady ship wave problem by a higher-order boundary element method. In: Proceedings of the twenty-second international offshore and polar engineering conference, pp 1149–1155
Huang Y (1997) Nonlinear ship motions by a rankine panel method. PhD thesis, Institute of Technology, Massachusetts
Iwashita H, Ito A (1998) Seakeeping computations of a blunt ship capturing the influence of the steady flow. Ship Technol Res 45(4):159–171
Iwashita H, Hidaka Y, Kishimoto K, Nechita M (2001) Side wall effects of a towing tank on the measurement of unsteady waves of ships advancing in waves. Trans West-Japan Soc Nav Arch 102:21–33
Kara F, Tang C, Vassalos D (2007) Time domain three-dimensional fully nonlinear computations of steady body–wave interaction problem. Ocean Eng 34(5,6):776–789
Kashiwagi M (1995) Prediction of surge and its effect on added resistance by means of the enhanced unified theory. Trans West-Jpn Soc Nav Arch 89:77–89
Kashiwagi M, Iwashita H (2012) Ship motions. Seizando, Tokyo
Kashiwagi M, Ohkusu M (1991) A new theory for side wall interference effects on forward speed radiation and diffraction forces. Ship Technol Res 38(1):17–47
Kashiwagi M, Kawasoe K, Inada M (2000) A study on ship motion and added resistance in waves. J Kansai Soc Nav Arch Jpn 234:85–94
Kim K, Kim Y (2011) Numerical study on added resistance of ships by using a time-domain rankine panel method. Ocean Eng 38(13):1357–1367
Kim Y, Kim K, Kim J, Kim T, Seo M, Kim Y (2011) Time-domain analysis of nonlinear motion responses and structural loads on ships and offshore structures: development of wish programs. Int J Nav Archit Ocean Eng 3(1):37–52
Kring D (1994) Time domain ship motions by a three dimensional rankine panel method. PhD thesis, Institute of Technology, Massachusetts
Kring D, Sclavounos P (1995) Numerical stability analysis for time-domain ship motion simulations. J Ship Res 39(4):313–320
Lin WM, Yue D (1991) Numerical solution for large amplitude ship motions in the time domain. In: Proceedings of 18th symposium on naval hydrodynamics, pp 41–66
Nakos D (1990) Ship wave patterns and motions by a three dimensional rankine panel method. PhD thesis, Institute of Technology, Massachusetts
Nakos D, Sclavounos P (1991) Ship motions by a three-dimensional rankine panel method. In: Proceedings of 18th symposium on naval hydrodynamics, pp 21–39
Nakos D, Kring D, Sclavounos P (1994) Rankine panel methods for transient free-surface flows. In: Proceedings of the 6th international conference on numerical ship hydrodynamics, Iowa, pp 613–632
Okusu M (1990) Added resistance in waves in the light of unsteady wave pattern analysis. In: Proceedings of 13th symposium on naval hydrodynamics, pp 413–425
Shahjada Tarafder M, Suzuki K (2008) Numerical calculation of free-surface potential flow around a ship using the modified rankine source panel method. Ocean Eng 35(5,6):536–544
Shao Y, Faltinsen OM (2012) Linear seakping and added resistance analysis by means of body-fixed coordinate system. J Mar Sci Technol 17:493–510
Shao Y, Faltinsen OM (2012) A numerical study of the second-order wave excitation of ship springing in infinite water depth. J Eng Marit Environ 226(2):103–119
Singh SP, Sen D (2007) A comparative linear and nonlinear ship motion study using 3-d time domain methods. Ocean Eng 34(13):1863–1881
Wakabayashi T (2012) Hydrodynamic study on added resistance by means of wave pattern analysis. Master’s thesis, Osaka University, Osaka
Yasukawa H (1993) A rankine panel method to calculate steady wave-making resistance of a ship taking the effect of sinkage and trim into account. J Soc Nav Archit Jpn 86:27–35
Yasukawa H (2000) Time domain analysis of ship motions in waves using bem (1st report: computation of hydrodynamic forces). Trans West-Jpn Soc Nav Arch 100:83–98
Yasukawa H (2003) Application of a 3d time domain panel method to ship seakeeping problems. In: Proceedings of 24th symposium on naval hydrodynamics, pp 375–391
Zhang X, Beck RF (2008) Three-dimensional large amplitude body motions in waves. J Offshore Mech Arct Eng 130(4):041,603–10
Zhang X, Bandyk P, Beck RF (2010) Seakeeping computations using double-body basis flows. Appl Ocean Res 32(4):471–482
Zhang X, Bandyk P, Beck RF (2010) Time-domain simulations of radiation and diffraction forces. J Ship Res 54(2):79–94
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
He, G., Kashiwagi, M. A time-domain higher-order boundary element method for 3D forward-speed radiation and diffraction problems. J Mar Sci Technol 19, 228–244 (2014). https://doi.org/10.1007/s00773-013-0242-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00773-013-0242-1