Added resistance, heave and pitch for the KVLCC2 tanker using a fully nonlinear unsteady potential flow boundary element method

Abstract In this paper, a fully nonlinear unsteady potential flow method is used to predict added resistance, heave and pitch for the KVLCC2 hull in regular head waves at design speed. The method presents a nonlinear decomposition of the velocity potential and the wave field and an adaptive grid refinement. A formulation for the acceleration potential is used to obtain the pressure. To improve computational efficiency, a Barnes-Hut algorithm is introduced. A grid dependency study and a study on the impact of different time steps on the solution are performed. Numerical results have been compared with experimental data for the design speed. A general good agreement is found for added resistance, especially for longer waves. Heave and pitch are properly computed for all wave lengths in the range λ / L p p = 0.4 to 1.4.

[1]  Yongwon Lee,et al.  Numerical studies on non-linearity of added resistance and ship motions of KVLCC2 in short and long waves , 2019, International Journal of Naval Architecture and Ocean Engineering.

[2]  Yonghwan Kim,et al.  Numerical analysis of added resistance on ships in short waves , 2014 .

[3]  Yasuyuki Toda,et al.  CFD verification and validation of added resistance and motions of KVLCC2 with fixed and free surge in short and long head waves , 2013 .

[4]  Piet Hut,et al.  A hierarchical O(N log N) force-calculation algorithm , 1986, Nature.

[5]  C G Kang,et al.  A NUMERICAL SOLUTION METHOD FOR THREE-DIMENSIONAL NONLINEAR FREE SURFACE PROBLEMS , 1991 .

[6]  W Beukelman,et al.  Analysis of the resistance increase in waves of a fast cargo ship , 1972 .

[7]  Hajime Maruo,et al.  The excess resistance of a ship in rough seas , 1957 .

[8]  Michael Selwyn Longuet-Higgins,et al.  The deformation of steep surface waves on water - I. A numerical method of computation , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[9]  Apostolos Papanikolaou,et al.  Prediction of added resistance of ships in waves , 2011 .

[10]  S. M. Golam Zakaria Comparative study of several methods for predicting added resistance of ship in waves , 2002 .

[11]  Harry B. Bingham,et al.  High-order finite difference solution for 3D nonlinear wave-structure interaction , 2010 .

[12]  O. M. Faltinsen,et al.  Prediction of Resistance and Propulsion of a Ship in a Seaway , 1980 .

[13]  Amitava Guha,et al.  The effect of hull emergence angle on the near field formulation of added resistance , 2015 .

[14]  Kyong-Hwan Kim,et al.  Numerical Analysis On Added Resistance of Ships , 2012 .

[15]  Harry B. Bingham,et al.  An efficient flexible-order model for 3D nonlinear water waves , 2009, J. Comput. Phys..

[16]  Poul Andersen,et al.  Validation of Added Resistance Computations by a Potential-Flow Boundary-Element Method , 2008 .