CFD Analysis of The Heave and Pitch Motion of Hull Model
DOI:
https://doi.org/10.37934/cfdl.14.4.1431Keywords:
ship motions, RAO, hull, sea waves, CFDAbstract
This work aims to predict numerically the vertical motions (heave and pitch) of a Wigley ship model heading over regular waves at Campos Basin, Brazil. Critical levels of periods and amplitudes from waves are determined based on historical data, these are re-dimensioned to a small scale and used as input data to the model. The flow is assumed to be incompressible and viscous with mass and momentum fluxes being conserved. The Computational Fluid Dynamics (CFD) software ANSYS Fluent which makes use of the finite volume method (FVM) is employed to solve continuity and the unsteady Reynolds Averaged Navier-Stokes (RANS) equations with a Shear-Stress Transport (SST) κ-ω turbulence model. The air-water interface is modelled via the Volume of Fluid (VOF) method. An UDF (User Defined Function) is set to simulate only these two degrees of freedom for the ship motion and different sea conditions are simulated with Response Amplitude Operators (RAOs) being compared to experiments, with a good agreement being found. The Campos Basin wave from the Southwest direction with a 1-year occurrence period is a wave with the highest dimensionless value resulting in a 0.172 of heave and the wave that has a North direction with a 1-year occurrence period is a wave with the highest dimensionless value resulting from the 0.097° pitch.
References
Froude, William. "On the rolling of ships." Trans INA 2 (1861): 180-227.
Kriloff, A. A new theory of the pitching motion of ships on waves, and of stressed produced by this motion. Institution of naval Architects, 1896.
Tasai, Fukuzo. "On the damping force and added mass of ships heaving and pitching." Journal of Zosen Kiokai 1959, no. 105 (1959): 47-56. https://doi.org/10.2534/jjasnaoe1952.1959.47
Ogilvie, T. F., and E. O. Tuck. "A rational strip theory of ship motions: part 1. Report No 013." The Department of Naval Architecture and Marine Engineering, The University of Michigan, College of Engineering (1969).
Vossers, G., W. A. Swaan, and H. Rijken. "Experiments with series 60 models in waves." International Shipbuilding Progress 8, no. 81 (1961): 201-232. https://doi.org/10.3233/ISP-1961-88102
Borodai, I. K. and Netsevvetayev, Y. A. “Ship motion in Ocean Waves” Sudostroenie, Leningrad (1969).
Salvesen, N., Tuck, E. O. and Faltisen, O. “Ship motions and sea loads”. Transactions Society Naval Architects Marine Engineers 78 (1970).
Nakamura, Shoichi, and Shigeru Naito. "Propulsive performance of a container ship in waves." Journal of the Society of Naval Architects of Japan 15 (1977).
Journee, Johan MJ. "Experiments and calculations on four Wigley hullforms." TUDelft, Faculty of Marine Technology, Ship Hydromechanics Laboratory, Report No. 909 (1992).
Shigemi, Toshiyuki, and Tingyao Zhu. "Extensive study on the design loads used for strength assessment of tanker and bulk carrier structures." Journal of marine science and technology 9, no. 3 (2004): 95-108. https://doi.org/10.1007/s00773-004-0179-5
Dalane, Eirik. "Estimation of ALS wave-column impact loads for a semi-submersible and a simplified assessment of the associated structural response." Master's thesis, Norges teknisk-naturvitenskapelige universitet, Fakultet for ingeniørvitenskap og teknologi, Institutt for marin teknikk, 2011.
Weymouth, Gabriel David, Robert Vance Wilson, and Frederick Stern. "RANS computational fluid dynamics predictions of pitch and heave ship motions in head seas." Journal of ship research 49, no. 02 (2005): 80-97. https://doi.org/10.5957/jsr.2005.49.2.80
Yan, Jiao, Dingqi Pan, Xiaomin Zhou, and Ketai He. "The prediction of ship motions and added resistance based on RANS." In 2015 15th International Conference on Control, Automation and Systems (ICCAS), pp. 1978-1982. IEEE, 2015. https://doi.org/10.1109/ICCAS.2015.7364692
Zhu, Ren-chuan, Chun-lei Yang, Guo-ping Miao, and Ju Fan. "Computational fluid dynamics uncertainty analysis for simulations of roll motions for a 3D ship." Journal of Shanghai Jiaotong University (Science) 20, no. 5 (2015): 591-599. https://doi.org/10.1007/s12204-015-1666-z
Ghassemi, Hassan, Sohrab Majdfar, and Valiollah Gill. "Calculations of the heave and pitch RAO’s for three different ship’s hull forms." Science and Engineering 22 (2015).
Shengtao, Chen, Zhong Jingjun, and Sun Peng. "Numerical simulation of the stokes wave for the flow around a ship hull coupled with the VOF model." Journal of Marine Science and Application 14, no. 2 (2015): 163-169. https://doi.org/10.1007/s11804-015-1305-y
Mousavi, S. M., A. R. Khoogar, and H. Ghassemi. "Time Domain Simulation of Ship Motion in Irregular Oblique Waves." Journal of Applied Fluid Mechanics 13, no. 2 (2019): 549-559. https://doi.org/10.29252/jafm.13.02.30218
Nasseroleslami, A., A. Sarreshtehdari, and M. Salari. "Numerical Study of the Hydrodynamic Pressure Field Generated due to Ship Motion at Different Speeds." Journal of Applied Fluid Mechanics 13, no. 5 (2020): 1575-1586. https://doi.org/10.36884/jafm.13.05.31283
Alias, Fatin, Mohd Hairil Mohd, Mohd Azlan Musa, Erwan Hafizi Kasiman, and Mohd Asamudin A. Rahman. "Flow Past a Fixed and Freely Vibrating Drilling Riser System with Auxiliaries in Laminar Flow." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87, no. 3 (2021): 94-104. https://doi.org/10.37934/arfmts.87.3.94104
API RP 2Sk “Design and Analysis of Stationkeeping Systems for Floating Structures”, Third Edition, API (2015).
DNVGL-RP-C205 “Condições ambientais e cargas ambientais”, DNV (2017).
Zuan, A. M. S., M. K. Z. Anuar, S. Syahrullail, M. N. Musa, and E. A. Rahim. "A study of float wave energy converter (FWEC) model." Journal of Advanced Research in Applied Sciences and Engineering Technology 1, no. 1 (2015): 40-49.
Ali, Arifah, Adi Maimun, and Yasser Mohamed Ahmed. "Analysis of Resistance and Generated Wave around Semi SWATH Hull at Deep and Shallow Water." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 58, no. 2 (2019): 247-260.
Stappenbelt, Brad. "Prediction of the heave response of a floating oscillating water column wave energy converter." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 5, no. 1 (2015): 8-23.
Sahak, Ahmad Sofianuddin A., Nor Azwadi Che Sidik, and Siti Nurul Akmal Yusof. "A Brief Review of Particle Dispersion of Cavity Flow." Journal of Advanced Research in Applied Sciences and Engineering Technology 20, no. 1 (2020): 27-41. https://doi.org/10.37934/araset.20.1.2741
Gomaa, Mona, and Tamer Kasem. "Simulation of Water Wave Interaction with Large Submerged Square Obstacles." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 86, no. 1 (2021): 14-26. https://doi.org/10.37934/arfmts.86.1.1426
Waskito, Kurniawan Teguh. "On the High-Performance Hydrodynamics Design of a Trimaran Fishing Vessel." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 83, no. 1 (2021): 17-33. https://doi.org/10.37934/arfmts.83.1.1733
CENPES “Technical Specification - Metocean Data” PETROBRAS S.A (2005).
Utomo, Allessandro Setyo Anggito, M. F. Tjiptadi, and M. N. Luthfi. "Variations in The Distance Between Hulls that Affect the Resistance of The Floating Pontoon N219." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 83, no. 2 (2021): 127-134. https://doi.org/10.37934/arfmts.83.2.127134
Menter, Florian R. "Two-equation eddy-viscosity turbulence models for engineering applications." AIAA journal 32, no. 8 (1994): 1598-1605. https://doi.org/10.2514/3.12149
Hirt, Cyril W., and Billy D. Nichols. "Volume of fluid (VOF) method for the dynamics of free boundaries." Journal of computational physics 39, no. 1 (1981): 201-225. https://doi.org/10.1016/0021-9991(81)90145-5
Eldeen, Ali Shehab Shams, Ahmed MR El-Baz, and Abdalla Mostafa Elmarhomy. "CFD Modeling of Regular and Irregular Waves Generated by Flap Type Wave Maker." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 85, no. 2 (2021): 128-144. https://doi.org/10.37934/arfmts.85.2.128144
Naiem, Mohd Azzeri Md, Eizul Hanis Omar, Adi Maimun, Arifah Ali, Philip Wilson, Mohd Zarhamdy Md Zain, and Faizul Amri Adnan. "Drag analysis of three rudder-shaped like bodies." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 78, no. 1 (2021): 11-22. https://doi.org/10.37934/arfmts.78.1.1122
