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 Xing Zheng,Zhizong Tian,Zhigang Xie,et al.Numerical Study of the Ice Breaking Resistance of the Icebreaker in the Yellow River Through Smoothed-Particle Hydrodynamics[J].Journal of Marine Science and Application,2022,(1):1-14.[doi:10.1007/s11804-022-00259-w]
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Numerical Study of the Ice Breaking Resistance of the Icebreaker in the Yellow River Through Smoothed-Particle Hydrodynamics


Numerical Study of the Ice Breaking Resistance of the Icebreaker in the Yellow River Through Smoothed-Particle Hydrodynamics
Xing Zheng1 Zhizong Tian2 Zhigang Xie2 Ningbo Zhang1
Xing Zheng1 Zhizong Tian2 Zhigang Xie2 Ningbo Zhang1
1 College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;
2 Yellow River Institute of Hydraulic Research, Yellow River Conservancy Commission, Zhengzhou 450003, China
IcebreakerSmoothed-particle hydrodynamicsIce breaking resistancethe Yellow RiverIce thickness
A ship – ice – water interaction model is established using smoothed-particle hydrodynamics (SPH) to predict the ice breaking resistance of the icebreaker in the Yellow River effectively. This method includes the numerical process of the constitutive equation, yield criterion, and the coupling model in SPH. The ice breaking resistance is determined under different conditions. The numerical results of the ice breaking resistance agree with the empirical formula results. Results show that the prediction accuracy of ice resistance is less than 17.6% compared with the empirical formula in the level ice. The method can also be extended to predict the floe motion and ice breaking resistance in actual river channels. The validation against the empirical formula indicates that the proposed ship – ice – water SPH method can predict the ice breaking resistance of icebreakers in actual rivers effectively. The predicted ice breaking resistance is analyzed under different conditions. The ice breaking resistance increases with increasing bending strength and ice thickness, and the latter is the most important factor influencing ice resistance.


Adami S, Hu XY, Adams NA (2012) A generalized wall boundary condition for smoothed particle hydrodynamics. Journal of Computational Physics 231(21): 7057-7075
Antuono M, Colagrossi A, Marrone S, Molteni D (2010) Free-surface flows solved by means of SPH schemes with numerical diffusive terms. Computer Physics Communications 181(3): 532-549
Cheng HT (2013) Research on a new method of ice prevention using icebreaker in Yellow River. Master thesis, North China University of Water Resources and Electric Power, Zhengzhou, 5-10. (in Chinese)
Das J (2017) Modeling and validation of simulation results of an ice beam in four-point bending using smoothed particle hydro dynamics. International Journal of Offshore and Polar Engineering 27(1): 82-89
Di SC (2015) Discrete element simulation of ice load on offshore platform and ship hull based on GPU parallel algorism. PhD thesis, Dalian University of Technology, Dalian, 1-5 (in Chinese)
Di SC, Ji SY, Xue YZ (2017) Analysis of ship navigation in level ice covered regions with discrete element method. The Ocean Engineering 35(3): 59-69. (in Chinese)
Gao GM, Deng Y, Tian ZZ, Li SX, Zhang BS (2019) Brief introduction and prospect of recent ice research in the Yellow River. Yellow River 41(10): 77-78. (in Chinese)
Gutfraind R, Savage SB (1997). Smoothed particle hydrodynamics for the simulation of broken-ice fields: mohr-coulomb-type rheology and frictional boundary conditions. Journal of Computational Physics 134(2): 203-215
Hao YH, Zheng X, Ma QW (2020) Calculation of ice breaking resistance of level ice based on CFD-DEM coupling method. Proceedings of the International Offshore and Polar Engineering Conference, Shanghai, 590-595
Huang LF, Li MH, Romu TM, Dolatshah A, Thomas G (2021) Simulation of a ship operating in an open-water ice channel. Ships and Offshore Structures 16(4): 353-362
Ji SY, Li H, Shen HT, Wang R, Yue Q (2007) A hybrid lagrangianeulerian numerical model for sea-ice dynamics. Acta Oceanologica Sinica 26(5): 12-24
Ji SY, Shen HT, Wang ZL, Shen HH, Yue Q (2005) A viscoelasticplastic constitutive model with mohr-coulomb yielding criterion for sea ice dynamics. Acta Oceanologica Sinica 24(4): 54-65
Khayyer A, Gotoh H, Shimizu Y, Nishijima Y (2021a) A 3D Lagrangian meshfree projection-based solver for hydroelastic Fluid-Structure Interactions. Journal of Fluids and Structures 105, 103342
Khayyer A, Shimizu Y, Gotoh H, NagashimaK (2021b) A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures. Applied Mathematical Modelling 94: 242-271
Kolari K, Kuutti J, Kurkela J (2009) FE-simulation of continuous ice failure based on model update technique. Proceedings of the 20th International Conference on Port and Ocean Engineering under Arctic Conditions, Lulea, Sweden, 100-115. DOI: 10.1109/APPEEC.2009.4918848
Kong S, Ji SY, Ji SP, Wang YY, Gang XH (2021) Numerical analysis of ice load on floating platform in polar region based on highperformance discrete element method. Chinese Journal of Ship Research 16(5), 1-7 (in Chinese)
Lau M, Akinturk A (2011) KORDI Araon model tests in ice using the planar motion mechanism, report LM-2011-04. Canada: St. John’s, Newfoundland and Labrador, National Research Council-Institute for Ocean Technology Li F, Kujala MKP, Goerlandt F (2020) Finite element based metamodeling of ship-ice interaction at shoulder and midship areas for ship performance simulation. Marine Structure 71, 102736
Lindqvist GA (1989) Straightforward method for calculation of ice resistance of ships. Proceedings of the Port and Ocean Engineering under Arctic Conditions, Lulea, Sweden, 722 -735
Monaghan JJ (1994) Simulating free surface flows with SPH. Journal of Computational Physics 110, 399-406
Monaghan JJ (2000) SPH without a tensile instability. Journal of Computational Physics 159(2), 290-311
Oger L, Savage SB (1999) Smoothed particle hydrodynamics for cohesive grains. Computer Methods in Applied Mechanics and Engineering 180(1-2): 169-183
Pan SH (1986) Building standards and codes of the State Construction Committee of the Council of Ministers of the Soviet Union. Chapter 57. Loads and actions of waves, ice and ships on hydraulic structures, Ocean Press. (in Chinese)
Pan W, Tartakovsky AM, Monaghan JJ (2012) A smoothed-particle hydrodynamics model for ice-sheet and ice-shelf dynamics. Journal of Glaciology 58(208): 828-842
Pernas-Sánchez DA, Pedroche DV, López-Puente RZ (2012) Numerical modeling of ice behavior under high velocity impacts. International Journal of Solids and Structures 49: 1919-1927
Qiao Y (2018) Study on the coupled of ship-ice-water interaction and the prediction method of ice resistance. PhD thesis, Harbin Engineering University, Harbin, 1-6. (in Chinese)
Shen HT, Su J, Liu L (2000) SPH simulation of river ice dynamics. Journal of Computational Physics, 165(2): 752-770
Sun PN, Colagrossi A, Marrone S, Zhang AM (2017) The δplus-SPH model: Simple procedures for a further improvement of the SPH scheme. Computer Methods in Applied Mechanics and Engineering 315: 25-49
Xie ZG, Zen H, Li G, Deng Y, Tian ZZ (2021) The timing and method of eliminating the ice dam with airborne bomb by unmanned aerial vehicle. Yellow River 43(2): 70-72. (in Chinese)
Xue YZ, Liu RW, Li Z, Han D (2020) A review for numerical simulation methods of ship-ice interaction. Ocean Engineering 215, 107853
Xue YZ, Lu XK, Wang Q (2018) Simulation of three-point bending test of ice based on peridynamic. Journal of Harbin Engineering University 39(4), 607-613
Zhang NB (2020) Research on the ship-ice-wave coupling numerical model based on the SPH method. PhD thesis, Harbin Engineering University, Harbin, 56-65. (in Chinese)
Zhang NB, Zheng X, Ma QW (2017) Updated Smoothed Particle Hydrodynamics for simulating bending and compression failure progress of ice. Water 9(11): 882
Zhang NB, Zheng X, Ma QW, Hu ZH (2019a) A numerical study on ice failure process and ice-ship interactions by Smoothed Particle Hydrodynamics. International Journal of Naval Architecture and Ocean Engineering 11(2): 796-808
Zhang NB, Zheng X, Ma QW (2019b) Study on wave-induced kinematic responses and flexures of ice floe by Smoothed Particle Hydrodynamics. Computers & Fluids 189, 46-59


Received date: 2021-06-28;Accepted date: 2022-01-23。
Foundation item:Supported by the National Key Research and Development Program of China (No. 2018YFC1508405), National Natural Science Foundation of China (Nos. 51879051 and 51739001), the Open Fund of the Key Laboratory of Far-shore Wind Power Technology of Zhejiang Province (ZOE20200007), Natural Science Foundation of Heilongjiang Province in China (LH2020 E071).
Corresponding author:Xing Zheng,E-mail:zhengxing@hrbeu.edu.cn
Last Update: 2022-04-22