Numerical study of viscous wave-making resistance of ship navigation in still water

Abstract

The prediction of a ship’s resistance especially the viscous wave-making resistance is an important issue in CFD applications. In this paper, the resistances of six ships from hull 1 to hull 6 with different hull forms advancing in still water are numerically studied using the solver naoe-FOAM-SJTU, which was developed based on the open source code package OpenFOAM. Different components of the resistances are computed and compared while considering two speed conditions (12 kn and 16 kn). The resistance of hull 3 is the smallest while that of hull 5 is the largest at the same speed. The results show hull 3 is a good reference for the design of similar ships, which can provide some valuable guidelines for hull form optimization.

Keywords

ship navigation / CFD / wave-making resistance / viscous flow / hull / naoe-FOAM-SJTU solver / OpenFOAM

References

[1] Bal S. Prediction of wave pattern and wave resistance of surface piercing bodies by a boundary element method. International Journal for Numerical Methods in Fluids, 2008, 56(3): 305-329

[2] Barton IE. Comparison of SIMPLE and PISO type algorithms for transient flows. International Journal for Numerical Methods in Fluids, 1998, 26(4): 459-483

[3] Cao HJ, Wan DC. Numerical investigation of extreme wave effects on cylindrical offshore structures. Proceedings of the Twenty-second International Offshore and Polar Engineering Conference, Rhodes, Greece, 2012, 804-811

[4] Cha JJ, Wan DC. Numerical wave generation and absorption based on OpenFOAM. China Ocean Engineering, 2011, 29(3): 1-12

[5] Dawson CW. A practical computer method for solving ship-wave problems. Proceedings of the Second International Conference on Numerical Ship Hydrodynamics, Berkeley, USA, 1977, 30-38

[6] Donat R, Martinez-Gavara A. Hybrid second order schemes for scalar balance laws. Journal of Scientific Computing, 2011, 48(1–3): 52-69

[7] Hänel D, Schwane R, Seider G. On the accuracy of upwind schemes for the solution of the Navier-Stokes equations, 1987

[8] Hino T, Martinelli L, Jameson A. A finite-volume method with unstructured grid for free surface flow simulations. Proceedings of the 6th International Symposium on Numerical Ship Hydrodynamics, Iowa City, USA, 1993, 173-193

[9] ITTC Quality Manual Uncertainty analysis in CFD uncertainty assessment methodology, 1999

[10] Jasak H, Jemcov A, Tukovic Z. OpenFOAM: A C++ library for complex physics simulations. International Workshop on Coupled Methods in Numerical Dynamics, Dubrovnik, Croatia, 2007, 1-20

[11] Kim WJ, Van SH, Kim DH. Measurement of flows around modern commercial ship models. Experiments in Fluids, 2001, 31(5): 567-578

[12] Shen ZR, Jiang L, MIAO S, Wan DC. RANS simulations of benchmark ships based on open source code. Proceedings of the Seventh International Workshop on Ship Hydrodynamics, Shanghai, China, 2011, 76-82

[13] Shen ZR, Cao HJ, Wan DC. Manual of CFD solver for Ship and Ocean Engineering Flows: naoe-FOAM-SJTU, 2012, Shanghai, China: Shanghai Jiao Tong University

[14] Shen ZR, Wan DC. RANS computations of added resistance and motions of a ship in head waves. International Journal of Offshore and Polar Engineering, 2013, 23(4): 263-271

[15] Simonsen CD, Otzen JF, Joncquez S. EFD and CFD for KCS heaving and pitching in regular head waves. Journal of Marine Science and Technology, 2013, 18(4): 435-459

[16] Weymouth GD, Wilson RV, Stern F. Rans computational fluid dynamics predictions of pitch and heave ship motions in head seas. Journal of Ship Research, 2005, 49(2): 80-97

[17] Ye HX, Shen ZR, Wan DC. Numerical prediction of added resistance and vertical ship motions in regular head waves. Journal of Marine Science and Application, 2012, 11(4): 410-416