A Practical Speed Loss Prediction Model at Arbitrary Wave Heading for Ship Voyage Optimization

Abstract

This paper proposes a semi-empirical model to predict a ship’s speed loss at arbitrary wave heading. In the model, the formulas that estimate a ship’s added resistance due to waves attacking from different heading angles have been further developed. A correction factor is proposed to consider the nonlinear effect due to large waves in power estimation. The formulas are developed and verified by model tests of 5 ships in regular waves with various heading angles. The full-scale measurements from three different types of ships, i.e., a PCTC, a container ship, and a chemical tanker, are used to validate the proposed model for speed loss prediction in irregular waves. The effect of the improved model for speed loss prediction on a ship’s voyage optimization is also investigated. The results indicate that a ship’s voyage optimization solutions can be significantly affected by the prediction accuracy of speed loss caused by waves.

Keywords

Speed loss / Irregular waves / Arbitrary wave heading / Added resistance due to waves / Voyage optimization / Full-scale measurement

References

[1] Boese P. Eine einfache methode zur berechnung der widerstandserhöhung eines schiffes im seegang. Schriftenreihe Schiffbau, 1970, 258: 1-9

[2] Boom H, Huisman H, Mennen F (2013) New guidelines for speed/power trials. level playing field establihment for IMO EEDI. SWZ Maritime

[3] CMEMS (2019) E.U. Copernicus marine service information. http://marine.copernicus.eu/. Accessed 2019-05-18

[4] Copernicus (2019) Copernicus climate change service climate data store (CDS), 2019, Copernicus climate change service (C3S): ERA5: Fifth Generation of ECMWF Atmospheric Reanalyses of the Global Climate. Accessed 2019-05-16

[5] DNV GL (2015) Maritime energy management study 2015. Hamburg, Germany

[6] Faltinsen OM, Minsaas KJ, Liapis N, Skjordal SO (1980) Prediction of resistance and propulsion of a ship in a seaway. In: Proceedings of the 13th Symposium on Naval Hydrodynamics: 505–529

[7] Fujii H, Takahashi T. Experimental Study on the resistance increase of a large full ship in regular oblique waves. J Soc Nav Archit Japan, 1975, 1975(137): 132-137

[8] Gerritsma J, Beukelman W. Analysis of the resistance increase in waves of a fast cargo ship. Int Shipbuild Prog, 1972, 19(217): 285-293

[9] Hasselmann K, Barnett TP, Bouws E, Carlson H, Cartwright DE, Enke K, Ewing JA, Gienapp H, Hasselmann DE, Kruseman P, Meerburg A, Muller P, Olbers DJ, Richter K, Sell W, Walden H (1973) Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Ergnzungsh zur Dtsch Hydrogr Zeitschrift R

[10] Havelock TH. The drifting force on a ship among waves, London, Edinburgh. Dublin Philos Mag J Sci, 1942, 33(221): 467-475

[11] ISO (2015) Ships and marine technology - Guidelines for the assessment of speed and power performance by analysis of speed trial data 15016

[12] ITTC (2014) ITTC – Recommended procedures and guidelines - Analysis of speed/power trial data 7.5-04-01-01.2

[13] Jiao J, Huang S, Guedes Soares C. Numerical investigation of ship motions in cross waves using CFD. Ocean Eng, 2021, 223: 108711

[14] Jiao J, Ren H, Sun S, Liu N, Li H, Adenya CA. A state-of-the-art large scale model testing technique for ship hydrodynamics at sea. Ocean Eng, 2016, 123: 174-190

[15] Jinkine V, Ferdinande V. A method for predicting the added resistance of fast cargo ships in head waves. Int Shipbuild Prog, 1974, 21(238): 149-167

[16] Journée JMJ (2001) Verification and validation of ship motions program SEAWAY. Ship hydromechanics laboratory, Delft University of Technology

[17] Kadomatsu K (1988) Study on the required minimum output of main propulsion engine considering maneuverability in rough sea. Yokohama National University, Japan

[18] Kim M, Hizir O, Turan O, Day S, Incecik A (2017) Estimation of added resistance and ship speed loss in a seaway. Ocean Eng 141(May):465–476. https://doi.org/10.1016/j.oceaneng.2017.06.051

[19] Kwon YJ (2008) Speed loss due to the added resistance in wind and waves. The Navl Archit (March):14–16

[20] Lang X, Mao W. A semi-empirical model for ship speed loss prediction at head sea and its validation by full-scale measurements. Ocean Eng, 2020, 209: 107494

[21] Larsson E, Simonsen MH, Mao W (2015) DIRECT optimization algorithm in weather routing of ships. In: Proceedings of the 25th International Offshore and Polar Engineering Conference

[22] Lewis EV (1988) Principles of Naval Architecture, 2nd edition. The Society of Naval Architects and Marine Engineers, Jersey city, US

[23] Lu R, Turan O, Boulougouris E, Banks C, Incecik A. A semi-empirical ship operational performance prediction model for voyage optimization towards energy efficient shipping. Ocean Eng, 2015, 110: 18-28

[24] Mao W. Development of a spectral method and a statistical wave model for crack propagation prediction in ship structures. J Sh Res, 2014, 58(2): 106-116

[25] Mao W, Rychlik I, Wallin J, Storhaug G. Statistical models for the speed prediction of a container ship. Ocean Eng, 2016, 126: 152-162

[26] Maruo H. Wave resistance of a ship in regular head seas. Bull Fac Eng Yokohama Natl Univ, 1960, 9: 73-91

[27] Maruo H. The excess resistance of a ship in rough seas. Int Shipbuild Prog, 1957, 4(35): 337-345

[28] Maruo H. Resistance in waves, research on seakeeping qualities of ships in Japan. Soc Nav Archit Japan, 1963, 8: 67-102

[29] Moctar O el, Shigunov V, Zorn T (2012) Duisburg test sase: Post-Panamax container ship for benchmarking. Sh Technol Res 59(3):50–64. https://doi.org/10.1179/str.2012.59.3.004

[30] Pérez Arribas F. Some methods to obtain the added resistance of a ship advancing in waves. Ocean Eng, 2007, 34(7): 946-955

[31] Salvesen N. Added resistance of ships in waves. J Hydronautics, 1978, 12(1): 24-34

[32] Sasa K, Terada D, Shiotani S, Wakabayashi N, Ikebuchi T, Chen C, Takayama A, Uchida M. Evaluation of ship performance in international maritime transportation using an onboard measurement system - in case of a bulk carrier in international voyages. Ocean Eng, 2015, 104: 294-309

[33] Simões R, Freitas A, Hood Marques C, Caprace J (2018) A vessel weather routing scheduler. In: Proceedings of the 27th International Congress on Waterborne Transportation, Shipbuilding and Offshore Constructions

[34] Strom-Tejsen J, Yeh H, Moran D. Added resistance in waves. Trans Soc Nav Archit Mar Eng, 1973, 81: 109-143

[35] Takahashi T. A practical prediction method of added resistance of a ship in waves and the direction of its application to hull form design. Trans West-Japan Soc Nav Archit, 1988, 75(75): 75-95

[36] Tillig F, Ringsberg JW, Mao W, Ramne B. Analysis of uncertainties in the prediction of ships’ fuel consumption – from early design to operation conditions. Ships Offshore Struct, 2018, 13(sup1): 13-24

[37] Townsin RL, Kwon YJ. Approximate formulae for the speed loss due to added resitance in wind and waves. R Inst Nav Archit, 1982, 124: 199-207

[38] Tsujimoto M, Shibata K, Kuroda M, Takagi K. A practical correction method for added resistance in waves. J Japan Soc Nav Archit Ocean Eng, 2008, 8: 177-184

[39] Valanto P, Hong Y (2015) Experimental investigation on ship wave added resistance in regular head, oblique, beam, and following Waves. In: Proceedings of the 25th International Society of Offshore and Polar Engineers

[40] Wang H, Lang X, Mao W, Zhang D, Storhaug G. Effectiveness of 2D optimization algorithms considering voluntary speed reduction under uncertain metocean conditions. Ocean Eng, 2020, 200: 107063

[41] Wang H, Mao W, Eriksson L. A three-dimensional Dijkstra’s algorithm for multi-objective ship voyage optimization. Ocean Eng, 2019, 186: 106131

[42] Wang K, Yan X, Yuan Y, Li F. Real-time optimization of ship energy efficiency based on the prediction technology of working condition. Transp Res Part D Transp Environ, 2016, 46: 81-93

[43] Zhang C, Zhang D, Zhang M, Mao W. Data-driven ship energy efficiency analysis and optimization model for route planning in ice-covered Arctic waters. Ocean Eng, 2019, 186: 106071

Funding

Chalmers University of Technology