Computational prediction of hydrodynamic coefficients for heave motion

Yıl 2021, Cilt: 1 Sayı: 1, 7 - 14, 30.12.2021

Ferdi Çakıcı Emre Kahramanoğlu Süleyman Duman Ahmet Dursun Alkan

https://doi.org/10.14744/seatific.2021.0002

Öz

In this study, the hydrodynamic coefficients associated with heave motion are obtained by using unsteady Reynolds-averaged Navier-Stokes (URANS) approach. The well-known Wigley hull is selected for the calculations of uncoupled added mass and damping coefficients (A33, B33) in deep water. Numerical simulations are performed for six different oscillation frequencies at the Froude number 0.3. First, the 3D ship model is forced in the heave direction with certain frequencies and then the hydrodynamic coefficients are computed with the help of Fourier series expansion. Numerical results are compared with those obtained by the experiments and strip theory. The verification and validation study for the damping term is also performed by implementing the Grid Convergence Index (GCI) method.

Anahtar Kelimeler

Hydrodynamic coefficients, URANS, Wigley hull, Heave motion

Kaynakça

• Beck, R.F., & Reed, A.M. (2001). Modern computational methods for ships in a seaway. Transactions of the Society of Naval Architects and Marine Engineers, 109, 1–51.
• Bonfiglio, L., Vernengo, G., Brizzolara, S., & Bruzzone, D. (2016). A Hybrid RANSE – strip theory method for prediction of ship motions. Proceedings of the 3rd International Conference on Maritime Technology and Engineering (MARTECH), Lisbon, Portugal, 4–6 July.
• Cakici, F., Sukas, O.F., Kinaci, O.K., & Alkan, A.D. (2017). Prediction of the vertical motions of dtmb 5415 ship using different numerical approaches. Brodogradnja/ Shipbuilding, 68(2), 29–44.
• CD-Adapco. (2014). User guide STAR-CCM Version 9.0.2. Celik, I., Ghia, U., Roache, P., Fretias, C.J., Coleman, H., & Raad P.E. (2008). Procedure for estimation and reporting of uncertainty due to discretization in CFD applications. Journal of Fluids Engineering, 130(7), 078001.
• Frank, W. (1967). Oscillation of Cylinders in or Below the Free Surface of Deep Fluids. DTNSRDC Report No. 2375. International Towing Tank Conference (ITTC) (2011b). Practical guidelines for ship CFD applications. In Proceedings of the 26th ITTC.
• Journee, J.M.J. (2003). Experiments and Calculations on 4 Wigley Hull Forms in Head Seas, Report, Delft University of Technology, Netherlands.
• Lewis, F.M. (1929). The inertia of water surrounding a vibrating ship. Transactions, Society of Naval Architects and Marine Engineers, 27: 1-20.
• Querard, A.B.G., Temarel, P., & Turnock, S.R. (2008). Influence of viscous effects on the hydrodynamics of ship- like sections undergoing symmetric and antisymmetric motions, using RANS. In: Proceedings of the ASME27th International Conference on Offshore Mechanics and Arctic Engineering (OMAE), Estoril, Portugal, pp.1–10.
• Querard, A.B.G., Temarel, P., & Turnock, S.R. (2009). The hydrodynamics of ship-like sections in heave, sway and roll motions predicted using an unsteady Reynolds averaged Navier-Stokes method. Engineering for the Maritime Environment, 233(2), 227–238.
• Richardson L.F. (1910). The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a Masonry dam. Philos. Transactions of the Royal Society London Seria A, 210, 307–357.
• Roache P.J. (1998). Verification of codes and calculations. AIAA Journal, 36(5), 696–702.
• Salvesen, N., Tuck, O. and Faltinsen, O. (1970). Ship motions and sea loads. The Society of Naval Architects and Marine Engineers, 1–30.
• Sezen, S., Dogrul, A., Delen, C. & Bal, S. (2018). Investigation of self-propulsion of DARPA Suboff by RANS method. Ocean Engineering, 150, 258–271.
• Tasai, F. (1959a). On the damping force and added mass of ships heaving and pitching. Technichal Report. Research Institute for Applied Mechanics, Kyushu University, Japan, 7(26), 47–56.
• Tasai, F. (1959b). Hydrodynamic force and moment produced by swaying and rolling oscillations of cylinders on the free surface. Technichal Report. Research Institute for Applied Mechanics, Kyushu University, Japan, 9(35).
• Tezdogan T., Demirel Y.K., Kellett P., Khorasanchi M., Incecik A. & Turan O. (2015) Full-scale unsteady RANS CFD simulations of ship behaviour and performance in head seas due to slow steaming. Ocean Engineering, 186–206.
• Tezdogan, T., Incecik, A., & Turan O. (2016). O. Full-scale unsteady RANS simulations of vertical ship motions in shallow water. Ocean Engineering, 123, 131–145.
• Ursell, F. (1949a). On the heaving motion of a circular cylinder in the surface of a fluid. Quarterly Journal of Mechanics Applied Mathematics 2, 218–231.
• Ursell, F. (1949b). On the rolling motion of a circular cylinder in the surface of a fluid. Quarterly Journal of Mechanics Applied Mathematics, 2, 335–353.
• Vugts, J. H. (1968). The hydrodynamic coefficients for swaying, heaving and rolling cylinders on a free surface. Shipbuilding Laboratory, Technical University, Delft, Report 112.