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On the development of ice-water-structure interaction

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Abstract

Ice-water-structure interaction (IWSI) is a novel extension of the fluid-structure interaction (FSI), which is significant for design and operating of polar ship and offshore structures. It involves multi-media and multi-interfaces and thus is quite complicated to solve, no matter from mathematical or mechanical perspectives. Although IWSI is complex and still very new, researchers try to develop various methods to deal with it and relevant literature starts to bloom. This paper aims to provide concise descriptions of typical analytical numerical and experimental methods to solve IWSI, together with a review of their major applications to date. Lastly, we succinctly highlight some development tendencies and some pieces of work to be investigated for each method.

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References

  1. Melia N., Haines K., Hawkins E. Sea ice decline and 21st century trans-Arctic shipping routes [J]. Geophysical Research Letters, 2016, 43(18): 9720–9728.

    Google Scholar 

  2. Fediuk R., Uvarova T., Zverev A. et al. Natural effects on offshore structures in the arctic [J]. IOP Conference Series Materials Science and Engineering, 2018, 463: 032063.

    Google Scholar 

  3. Yoon J. R., Kim Y. Reviews on natural resources in the Arctic: Petroleum, gas, gas hydrates and minerals [J]. Ocean and Polar Research, 2002, 23(1):51–62.

    Google Scholar 

  4. Patil D. S., Dey T. A review on fluid structure interaction [J]. International Journal of Innovative and Emerging Research in Engineering, 2016, 3(3): 61–64.

    Google Scholar 

  5. Zhang X., Wang J., Wan D. Numerical techniques for coupling hydrodynamic problems in ship and ocean engineering [J]. Journal of Hydrodynamics, 2020, 32(2): 212–233.

    Google Scholar 

  6. Yan B. Q., Wang S., Zhang G. Y. et al. A sharp-interface immersed smoothed point interpolation method with improved mass conservation for fluid-structure interaction problems [J]. Journal of Hydrodynamics, 2020, 32(2): 267–285.

    Google Scholar 

  7. Xue Y. Z., Ni B. Y. Review of mechanical issues for polar region ships and floating structures [J]. Journal of Harbin Engineering University, 2016, 37(1): 36–40 (in Chinese).

    Google Scholar 

  8. Squire V. A., Dugan J. P., Wadhams P. et al. Of ocean waves and sea ice [J]. Annual Review of Fluid Mechanics, 1995, 27: 115–168.

    MathSciNet  Google Scholar 

  9. Squire V. A. Of ocean waves and sea-ice revisited [J]. Cold Regions Science and Technology, 2007, 49(2): 110–133.

    Google Scholar 

  10. Squire V. A. Ocean wave interactions with Sea Ice: A Reappraisal [J]. Annual Review of Fluid Mechanics, 2020, 52: 37–60.

    MATH  Google Scholar 

  11. Sturova I. V. Generation of long waves in ice-covered lakes by moving disturbances of atmospheric pressure [J]. Journal of Hydrodynamics, 2010, 22(5 Suppl. 1): 34–39.

    Google Scholar 

  12. Sturova I. V. Radiation of waves by a cylinder submerged in water with ice floe or polynya [J]. Journal of Fluid Mechanics, 2015, 784: 373–395.

    MathSciNet  MATH  Google Scholar 

  13. Sturova I. V., Tkacheva L. A. Movement of external load over free surface of fluid in the ice channel [J]. Journal of Physics: Conference Series, 2019, 1268: 012066.

    Google Scholar 

  14. Sturova I. V. Tkacheva L. A. The motion of pressure distribution over a free surface near the edge of ice sheet [J]. IOP Conference Series: Earth and Environmental Science, 2019, 193(1): 012065.

    Google Scholar 

  15. Fox C., Squire V. A. On the oblique reflexion and transmission of ocean waves at shore fast sea ice [J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1994, 347(1682): 185–218.

    MATH  Google Scholar 

  16. Montiel F., Squire V. A. Modelling wave-induced sea ice break-up in the marginal ice zone [J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 2017, 473(2206): 20170258.

    MathSciNet  MATH  Google Scholar 

  17. Meylan M., Squire V. A. The response of ice floes to ocean waves [J]. Journal of Geophysical Research, 1994, 99(C1): 891–900.

    Google Scholar 

  18. Kohout A. L., Meylan M. H. An elastic plate model for wave attenuation and ice floe breaking in the marginal ice zone [J]. Journal of Geophysical Research, 2008, 113(C9): C09016.

    Google Scholar 

  19. Meylan M. H., Bennetts L.G., Cavaliere C. et al. Experimental and theoretical models of wave-induced flexure of a sea ice floe [J]. Physics of Fluids, 2015, 27(4): 041704.

    Google Scholar 

  20. Zheng S. M., Meylan M. H., Fan L. et al. Wave scattering by a floating porous elastic plate of arbitrary shape: A semi-analytical study [J]. Journal of Fluids and Structures, 2020, 92: 102827.

    Google Scholar 

  21. Li Z. F., Shi Y. Y., Wu G. X. Interaction of wave with a body floating on a wide polynya [J]. Physics of Fluids, 2017, 29(9): 097104.

    Google Scholar 

  22. Li Z. F., Shi Y. Y., Wu G. X. Interaction of waves with a body floating on polynya between two semi-infinite ice sheets [J]. Journal of Fluids and Structures, 2018, 78: 86–108.

    Google Scholar 

  23. Ren K., Wu G. X., Ji C. Y. Diffraction of hydroelastic waves by multiple vertical circular cylinders [J]. Journal of Engineering Mathematics, 2018, 113(1): 45–64.

    MathSciNet  MATH  Google Scholar 

  24. Ren K., Wu G. X., Ji C. Y. Wave diffraction and radiation by a vertical circular cylinder standing in a three-dimensional polynya [J]. Journal of Fluids and Structures, 2018, 82: 287–307.

    Google Scholar 

  25. Ren K., Wu G. X., Thomas G. A. Wave excited motion of a body floating on water confined between two semi-infinite ice sheets [J]. Physics of Fluids, 2016, 28(12): 127101.

    Google Scholar 

  26. Brocklehurst P., Korobkin A., Parau E. I. Hydroelastic wave diffraction by a vertical cylinder [J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011, 369(1947): 2832–2851.

    MathSciNet  MATH  Google Scholar 

  27. Korobkin A. A., Malenica S., Khabakhpasheva T. The vertical mode method in the problems of flexural-gravity waves diffracted by a vertical cylinder [J]. Applied Ocean Research, 2019, 84: 111–121.

    Google Scholar 

  28. Wang R. X., Shen H. H. Gravity waves propagating into an ice-covered ocean: A viscoelastic model [J]. Journal of Geophysical Research, 2010, 115(C6): C06024.

    MathSciNet  Google Scholar 

  29. Zhao X., Shen H. H. A diffusion approximation for ocean wave scatterings by randomly distributed ice floes [J]. Ocean Modelling, 2016, 107: 21–27.

    Google Scholar 

  30. Squire V. A., Hosking R. J., Kerr A. D. et al. Moving loads on ice plates [M]. Dordrecht, The Netherlands: Kluwer Academic Publishers, 1996.

    Google Scholar 

  31. Lu D. Q., Le J. C., Dai S. Q. Unsteady waves due to oscillating disturbances in an ice-covered fluid [J]. Journal of Hydrodynamics, 2006, 18(3 Suppl.): 176–179.

    Google Scholar 

  32. Lu D. Q., Le J. C., Dai S. Q. Flexural-gravity waves due to transient disturbances in an inviscid fluid of finite depth [J]. Journal of Hydrodynamics, 2008, 20(2): 131–136.

    Google Scholar 

  33. Chung H., Fox C. Calculation of wave-ice interaction using the Wiener-Hopf technique [J]. New Zealand Journal of Mathematics, 2002, 31(1): 1–18.

    MathSciNet  MATH  Google Scholar 

  34. Pogorelova A. V., Kozin V. M. Flexural-gravity waves due to unsteady motion of point source under a floating plate in fluid of finite depth [J]. Journal of Hydrodynamics, 2010, 22(5Suppl. 1): 71–76.

    Google Scholar 

  35. Pogorelova, A. V., Zemlyak, V. L., Kozin V. M. Moving of a submarine under an ice cover in fluid of finite depth [J]. Journal of Hydrodynamics, 2019, 31(3): 562–569.

    Google Scholar 

  36. Ni B. Y., Zhang A. M., Wu G. X. Simulation of complete water exit of a fully-submerged body [J]. Journal of Fluids and Structures, 2015, 58: 79–98.

    Google Scholar 

  37. Ni B. Y., Wu G. X. Numerical simulation for water exit of an initially fully-submerged buoyant spheroid in an axisymmetric flow [J]. Fluid Dynamics Research, 2017, 49(4): 045511.

    MathSciNet  Google Scholar 

  38. Wu G. X., Eatock Taylor R. The coupled finite element and boundary element analysis of nonlinear interactions between waves and bodies [J]. Ocean Engineering, 2003, 30(3): 387–400.

    Google Scholar 

  39. Li Z. F., Shi Y. Y., Wu G. X. A hybrid method for linearized wave radiation and diffraction problem by a three dimensional floating structure in a polynya [J]. Journal of Computational Physics, 2020, 412: 109445.

    MathSciNet  MATH  Google Scholar 

  40. Li Z. F., Wu G. X., Ren K. Wave diffraction by multiple arbitrary shaped cracks in an infinitely extended ice sheet of finite water depth [J]. Journal of Fluid Mechanics, 2020, 893: A14.

    MathSciNet  MATH  Google Scholar 

  41. Mase G. E. Theory and problem of continuum mechanics [M]. Schaum’s Outline Series, New York, USA: McGraw-Hill, 1970.

    Google Scholar 

  42. Kozin V. M., Pogorelova A. V. Wave resistance of amphibian aircushion vehicles during motion on ice fields [J]. Journal of Applied Mechanics and Technical Physics, 2003, 44(2): 193–197.

    MATH  Google Scholar 

  43. Kozin V. M., Pogorelova A. V. Effect of the viscosity properties of ICE on the deflection of an ICE sheet subjected to a moving load [J]. Journal of Applied Mechanics and Technical Physics, 2009, 50(3): 484–492.

    MATH  Google Scholar 

  44. Parau E. I., Vanden-Broeck J. M. Three-dimensional waves beneath an ice sheet due to a steadily moving pressure [J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011, 369(1947): 2973–2988.

    MathSciNet  MATH  Google Scholar 

  45. Li Y., Liu J., Hu M. et al. Numerical modeling of ice-water system response based on Rankine source method and finite difference method [J]. Ocean Engineering, 2017, 138: 1–8.

    Google Scholar 

  46. Davys J. W., Hosking R. J., Sneyd A. D. Waves due to a steadily moving source on a floating ice plate [J]. Journal of Fluid Mechanics, 1985, 158: 269–287.

    MATH  Google Scholar 

  47. Takizawa T. Response of a floating sea ice sheet to a steadily moving load [J]. Journal of Geophysical Research, 1988, 93(C5): 5100–5112.

    Google Scholar 

  48. Tkacheva L. A. Behavior of a semi-infinite ice cover under a uniformly moving load [J]. Journal of Applied Mechanics and Technical Physics, 2018, 59(2): 258–272.

    MathSciNet  MATH  Google Scholar 

  49. Ni B. Y., Zeng L. D. Numerical simulation of interface deformation and wave resistance caused by a given pressure load moving in an ice-breaking channel [C]. Proceedings of the 34th International Workshop on Water Waves and Floating Bodies, Newcastle, Australia, 2019, 133–136.

  50. Shao S., Lo E. Y. M. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface [J]. Advances in Water Resources. 2003, 26(7): 787–800.

    Google Scholar 

  51. Zhang A., Sun P., Ming F. An SPH modeling of bubble rising and coalescing in three dimensions [J]. Computer Methods in Applied Mechanics and Engineering, 2015, 294: 189–209.

    MathSciNet  MATH  Google Scholar 

  52. Zheng X., Ma Q. W., Duan W. Y. Incompressible SPH method based on Rankine source solution for violent water wave simulation [J]. Journal of Computational Physics. 2014, 276: 291–314.

    MathSciNet  MATH  Google Scholar 

  53. Zheng X., Shao S., Khayyer A. et al. Corrected first-order derivative ISPH in water wave simulations [J]. Coastal Engineering Journal, 2017, 59(1): 1750010.

    Google Scholar 

  54. Khayyer A., Gotoh H., Falahaty H. et al. An enhanced ISPH-SPH coupled method for simulation of incompressible fluid-elastic structure interactions [J]. Computer Physics Communications 2018, 232: 139–164.

    MathSciNet  Google Scholar 

  55. Wang P. P, Zhang A. M., Ming F. R. et al. A novel non-reflecting boundary condition for fluid dynamics solved by smoothed particle hydrodynamics [J]. Journal of Fluid Mechanics, 2019, 860: 81–114.

    MathSciNet  MATH  Google Scholar 

  56. Peng C., Bauinger C., Szewc K. et al. An improved predictive-corrective incompressible smoothed particle hydrodynamics method for fluid flow modelling [J]. Journal of Hydrodynamics, 2019, 31(4): 654–668.

    Google Scholar 

  57. Wang P. P., Meng Z. F., Zhang A. M. et al. Improved particle shifting technology and optimized free-surface detection method for free-surface flows in smoothed particle hydrodynamics [J]. Computer Methods in Applied Mechanics and Engineering, 2019, 357: 112580.

    MathSciNet  MATH  Google Scholar 

  58. Peng Y. X., Zhang A. M., Ming F. R. et al. A meshfree framework for the numerical simulation of elastoplasticity deformation of ship structure [J]. Ocean Engineering, 2019, 192: 106507.

    Google Scholar 

  59. Zhang A. M., Sun P. N., Ming F. R. et al. Smoothed particle hydrodynamics and its applications in fluid-structure interactions [J]. Journal of Hydrodynamics. 2017, 29(2): 187–216.

    Google Scholar 

  60. Gotoh H., Khayyer A. On the state-of-the-art of particle methods for coastal and ocean engineering [J]. Coastal Engineering Journal, 2018, 60(1): 79–103.

    Google Scholar 

  61. Das J. Modeling and validation of simulation results of an ice beam in four-point bending using smoothed particle hydrodynamics [J]. International Journal of Offshore and Polar Engineering. 2017, 27(1): 82–89.

    Google Scholar 

  62. Zhang N., Zheng X., Ma Q. Updated smoothed particle hydrodynamics for simulating bending and compression failure progress of ice [J]. Water, 2017, 9(11): w9110882.

    Google Scholar 

  63. Han D. F., Qiao Y., Xue Y. Z. Numerical simulation of ice bending strength test based on improved SPH method [J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2018, 46(5): 54–58(in Chinese).

    Google Scholar 

  64. Liu G. R., Liu M. B. Smoothed particle hydrodynamics: A meshfree particle method [M]. Changsha, China: Hunan University Press, 2015 (in Chinese).

    MATH  Google Scholar 

  65. Randles P., Libersky L., Smoothed particle hydrodynamics: Some recent improvements and applications [J]. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1): 375–408.

    MathSciNet  MATH  Google Scholar 

  66. Sergienko O. V. Elastic response of floating glacier ice to impact of long-period Ocean waves [J]. Journal of Geophysical Research: Earth Surface 2010, 115(F4): F04028.

    Google Scholar 

  67. Monaghan J. J. Smoothed particle hydrodynamics [J]. Annual Review of Astronomy and Astrophysics. 1992, 30: 543–574.

    Google Scholar 

  68. Monaghan J. J., SPH without a tensile instability [J]. Journal of Computational Physics. 2000, 159(2): 290–311.

    MATH  Google Scholar 

  69. Gray J., Monaghan J., Swift R. SPH elastic dynamics [J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190(49–50): 6641–6662.

    MATH  Google Scholar 

  70. Liu Y. N., Li H., Liu Y. W. et al. Numerical simulation of the continuous icebreaking based on SPH method [C]. Proceedings of the Conference for commemorating the 20th anniversary of the publication of Journal of Ship Mechanics, Zhoushan, China, 2017, 321–327(in Chinese).

  71. Gui H. B., Hu Z. K. SPH-based numerical simulation of ship propeller under ice impact [J]. Journal of Ship Mechanics, 2018, 22(4): 425–433 (in Chinese).

    Google Scholar 

  72. Bian G. F. Study on the interaction process of sea-ice and marine structures based on SPH-FEM coupling algorithm [D]. Master Thesis, Harbin, China: Harbin Engineering University, 2019 (in Chinese).

    Google Scholar 

  73. Lu W. J., Serre N., Høyland K. V. et al. Rubble ice transport on arctic offshore structures, part IV: Tactile sensor measurement of the level ice load on inclined plate [C]. Proceedings of the 22nd International Conference on Port and Ocean Engineering under Arctic Conditions (POAC), Espoo, Finland, 2013.

  74. Zhang N., Zheng X., Ma Q. et al. A numerical study on ice failure process and ice-ship interactions by smoothed particle hydrodynamics [J]. International Journal of Naval Architecture and Ocean Engineering, 2019, 11(2): 796–808.

    Google Scholar 

  75. Zhang N., Zheng X., Ma Q. Study on wave-induced kinematic responses and flexures of ice floe by smoothed particle hydrodynamics [J]. Computers and Fluids, 2019, 189: 46–59.

    MathSciNet  MATH  Google Scholar 

  76. Lau M., Akinturk A., Kordi A. Model tests in ice using the planar motion mechanism [R]. St. John’s, Newfoundland and Labrador, Canada: National Research Council Institute for Ocean Technology, Report LM-2011-04, 2011.

  77. Shen H. T., Su J. S., Liu L. W. SPH simulation of river ice dynamics [J]. Journal of Computational Physics. 2000, 165: 752–770.

    MATH  Google Scholar 

  78. Wang J., He L., Chen P. P. et al. Numerical simulation of mechanical breakup of river ice-cover [J]. Journal of Hydrodynamics, 2013, 25(3): 415–421.

    Google Scholar 

  79. Hu X., Zhan C. S. Numerical simulation of ship ice breaking based on FEM-SPH coupling algorithm [J]. Jiangsu Ship, 2015, 32(6): 15–19(in Chinese).

    Google Scholar 

  80. Liu Y., Qiao Y., Li T. A correct smoothed particle method to model structure-ice interaction [J]. Computer Modeling in Engineering and Sciences, 2019, 200(1): 177–201.

    Google Scholar 

  81. Chen J. K., Beraun J. E., Jih C. J. An improvement for tensile instability in smoothed particle hydrodynamics [J]. Computational Mechanics, 1999, 23(4): 279–287.

    MATH  Google Scholar 

  82. Lu W. J., Løset S., Lubbad R. Ventilation and backfill effect during ice-sloping structure interactions [C]. 21st IAHR International Symposium on Ice, Dalian, China, 2012.

  83. Puntigliano F. Hamburgische Schiffbau-Versuchsanstalt GmbH H. On the resistance components below the waterline in the continuous mode of icebreaking: model tests [R]. Hamburg, Germany: Hamburg Ship Model Basin HSVA-E—253/95, 1995.

  84. Shen H. H., Hibler W. D., Leppäranta M. On applying granular flow theory to a deforming broken ice field [J]. Acta Mechanica, 1986, 63(1–4): 143–160.

    Google Scholar 

  85. Hansen E. H., Løset S. Modelling floating offshore units moored in broken ice: Model description [J]. Cold Region Science and Technology, 1999, 29(2): 97–106.

    Google Scholar 

  86. Lau M., Lawrence K., Rothenburg L. Discrete element analysis of ice loads on ships and structures [J]. Ships and Offshore Structures, 2011, 6(3): 211–221.

    Google Scholar 

  87. Ji S., Di S., Liu S. Analysis of ice load on conical structure with discrete element method [J]. Engineering Computations, 2015, 32(4): 1121–1134.

    Google Scholar 

  88. Di S., Xue Y., Wang Q. et al. Discrete element simulation of ice loads on narrow conical structures [J]. Ocean Engineering, 2017, 146: 282–297.

    Google Scholar 

  89. Liu L., Ji S. Ice load on floating structure simulated with dilated polyhedral discrete element method in broken ice field [J]. Applied Ocean Research, 2018, 75: 53–65.

    Google Scholar 

  90. Ji S. Y. Computational granular mechanics and its engineering applications [M]. China, Beijing: Science Press, 2018 (in Chinese).

    Google Scholar 

  91. Long X., Song C., Ji S. et al. Discrete element analysis of the effect of cone angle on the anti-ice performance of cone structure [J]. Ocean Engineering, 2018, 36: 92–100.

    Google Scholar 

  92. Wang S., Ji S. Coupled DEM-FEM analysis of ice-induced vibrations of a conical jacket platform based on the domain decomposition method [J]. International Journal of Offshore and Polar Engineering, 2018, 28(2):190–199.

    MathSciNet  Google Scholar 

  93. Di S., Xue Y., Bai X. et al. Effects of model size and particle size on the response of sea-ice samples created with a hexagonal-close-packing pattern in discrete-element method simulations [J]. Particuology, 2018, 36: 106–113.

    Google Scholar 

  94. Stephen B. P. Turbulent flows [M]. Cambridge, UK: Cambridge University Press, 2010.

    Google Scholar 

  95. Kloss C., Goniva C., Hager A. et al. Models, algorithms and validation for open source DEM and CFD-DEM [J]. Progress in Computational Fluid Dynamics, 2012, 12(2–3): 140–152.

    MathSciNet  Google Scholar 

  96. Bertrand F., Leclaire L.A., Levecque G. DEM-based models for the mixing of granular materials [J]. Chemical Engineering Science, 2005, 60(8–9): 2517–2531.

    Google Scholar 

  97. Xiong Y., Liang Q., Mahaffey S. et al. A novel two-way method for dynamically coupling a hydrodynamic model with a discrete element model (DEM) [J]. Journal of Hydrodynamics, 2018, 30(5): 966–969.

    Google Scholar 

  98. Norouzi H. R., Zarghami R. et al. Coupled CFD-DEM modeling [M]. Oxford, UK: John Wiley and Sons, 2016.

    Google Scholar 

  99. Chu K. W., Wang B., Yu A. B. et al. CFD-DEM modeling of multiphase flow in dense medium cyclones [J]. Powder Technology, 2009, 193(3): 235–247.

    Google Scholar 

  100. Zhao J., Shan T. Coupled CFD-DEM simulation of fluid-particle interaction in geomechanics [J]. Powder Technology, 2013, 239: 248–258.

    Google Scholar 

  101. Wang C., Feng Z., Li X. et al. Analysis of the ice resistance and ice response of ships sailing in the crushed ice area [J]. Chinese Ship Research, 2018, 13(01): 73–78 (in Chinese).

    Google Scholar 

  102. Li X. A. Research on ship resistance characteristics based on CFD-DEM coupling method [D]. Master Thesis, Harbin, China: Harbin Engineering University, 2018 (in Chinese).

    Google Scholar 

  103. Marnix V. D. B., Lubbad R., Løset S. The effect of ice floe shape on the load experienced by vertical-sided structures interacting with a broken ice field [J]. Marine Structures, 2019, 65: 229–248.

    Google Scholar 

  104. Xu P., Guo C. Y., Wang C. et al. Numerical simulation of propeller-crushing ice-water interaction based on CFD-DEM coupling [J]. China Shipbuilding, 2019, 60(1): 120–140(in Chinese).

    Google Scholar 

  105. Huang Y., Huang S., Sun J. Experiments on navigating resistance of an icebreaker in snow covered level ice [J]. Cold Regions Science and Technology, 2018, 152: 1–14.

    Google Scholar 

  106. McNamara G. R., Zanetti G. Use of the Boltzmann equation to simulate lattice automata [J]. Physical Review Letters, 1988, 61(20): 2332–2335.

    Google Scholar 

  107. Chen X. Simulation of 2D cavitation bubble growth under shear flow by lattice Boltzmann mode [J]. Communications in Computational Physics, 2010, 7(1): 212–223.

    MATH  Google Scholar 

  108. Chen G. Q., Huang X., Zhang A. M. et al. Simulation of three-dimensional bubble formation and interaction using the high-density-ratio lattice Boltzmann method [J]. Physics of Fluids, 2019, 31(2): 027102.

    Google Scholar 

  109. Chen G. Q., Huang X., Zhang A. M. et al. Three-dimensional simulation of a rising bubble in the presence of spherical obstacles by the immersed boundary-lattice Boltzmann method [J]. Physics of Fluids, 2019, 31(9): 097104.

    Google Scholar 

  110. Liu G. W., Zhang Q. H., Zhang J. F. Development of two-dimensional numerical wave tank based on lattice Boltzmann method [J]. Journal of Hydrodynamics, 2020, 32(1): 116–125.

    Google Scholar 

  111. Yang Z. H., Bai F. P., Huai W. X. et al. Lattice Boltzmann method for simulating flows in open-channel with partial emergent rigid vegetation cover [J]. Journal of Hydrodynamics, 2019, 31(4): 717–724.

    Google Scholar 

  112. Chen S., Doolen G. D. Lattice Boltzmann method for fluid flows [J]. Annual Review of Fluid Mechanics. 1998, 30: 329–364.

    MathSciNet  MATH  Google Scholar 

  113. Jiao H., Wu G. X. Free vibration predicted using forced oscillation in the lock-in region [J]. Physics of Fluids. 2018, 30(11): 113601.

    Google Scholar 

  114. Guo Z. L., Zheng C. G. Theory and application of lattice Boltzmann method [M]. Beijing, China: Science Press, 2009, 18–21 (in Chinese).

    Google Scholar 

  115. Bhatnagar P. L., Gross E. P., Krook M. K. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems [J]. Physical Review, 1954, 94(3): 511–525.

    MATH  Google Scholar 

  116. Mohamad A. A. Lattice Boltzmann method fundamentals and engineering applications with computer codes [M]. Beijing, China: Publishing House of Electronics Industry, 2015(in Chinese).

    MATH  Google Scholar 

  117. Krüger T., Kusumaatmaja H., Kuzmin A. et al. The lattice Boltzmann method [M]. Cham, Switzerland: Springer, 2017.

    MATH  Google Scholar 

  118. Janßen C. F., Mierke D., Rung T. On the development of an efficient numerical ice tank for the simulation of fluid-ship-rigid-ice interactions on graphics processing units [J]. Computers and Fluids, 2017, 155: 22–32.

    MathSciNet  MATH  Google Scholar 

  119. Galindo-Torres S. A. A coupled discrete element lattice Boltzmann method for the simulation of fluid-solid interaction with particles of general shapes [J]. Computer Methods in Applied Mechanics and Engineering, 2013, 53: 171–179.

    MathSciNet  MATH  Google Scholar 

  120. Rong L. W., Zhou Z. Y., Yu A. B. Lattice-Boltzmann simulation of fluid flow through packed beds of uniform ellipsoids [J]. Powder Technology, 2015, 285: 146–156.

    Google Scholar 

  121. Zumiyama K., Kitagawa H., Koyama K. et al. On the interaction between a conical structure and ice sheet [C]. Proceeding of 11th International Conference on Port and Ocean Engineering under Arctic Conditions (POAC), St. John’s, Newfoundland, Canada, 1991.

  122. Su B., Riska K., Moan T. A numerical method for the prediction of ship performance in level ice [J]. Cold Regions Science and Technology, 2010, 60(3): 177–188.

    Google Scholar 

  123. Su B. Numerical predictions of global and local ice loads on ships [D]. Doctor Thesis, Trondheim, Norway: Norwegian University of Science and Technology, 2011.

    Google Scholar 

  124. Riska K., Frederking R. M. W. Ice load penetration modelling [C]. Proceedings of the 9th Port and Ocean Engineering Under Arctic Conditions Conference(POAC), Fairbanks, Alaska, USA, 1987, 317–327.

  125. Guo C. Y., Zhang Z. T., Tian T. P. et al. Numerical simulation on the resistance performance of ice-going container ship under brash ice conditions [J]. China Ocean Engineering, 2018, 32(5): 546–556.

    Google Scholar 

  126. Kim M. C., Lee S. K., Lee W. J. Numerical and experimental investigation of the resistance performance of an icebreaking cargo vessel in pack ice conditions [J]. International Journal of Naval Architecture and Ocean Engineering, 2013, 5(1): 116–131.

    Google Scholar 

  127. Guo C. Y., Xie C., Wang S. et al. Experimental study on resistance performance of ice area under crushed ice conditions [J]. Journal of Harbin Engineering University, 2016, 37(4): 481–486(in Chinese).

    Google Scholar 

  128. Ni B. Y., Huang Q., Chen W. S. et al. Numerical simulation of ice load of a ship turning in level ice considering fluid effects [J]. Chinese Journal of Ship Research, 2020. 15(2): 1–7(in Chinese).

    Google Scholar 

  129. Liu N. N., Zhang A. M., Liu Y. L. Numerical analysis of the interaction of two underwater explosion bubbles using the compressible Eulerian finite-element method [J]. Physics of Fluids, 2020, 32(4): 046107.

    Google Scholar 

  130. Ge L., Zhang A. M., Wang S. P. Investigation of underwater explosion near composite structures using a combined RKDG-FEM approach [J]. Journal of Computational Physics, 2020, 404: 109113.

    MathSciNet  Google Scholar 

  131. Silling S. A. Reformulation of elasticity theory for discontinuities and long-range forces [J]. Journal of the Mechanics and Physics of Solids, 2000, 48(1): 175–209.

    MathSciNet  MATH  Google Scholar 

  132. Silling S. A., Askari E. A meshfree method based on the peridynamic model of solid mechanics [J]. Computers and Structures, 2005, 83(17–18): 1526–1535.

    Google Scholar 

  133. Ha Y. D., Bobaru F. Studies of dynamic crack propagation and crack branching with peridynamics [J]. International Journal of Fracture, 2010, 162(1–2): 229–244.

    MATH  Google Scholar 

  134. Silling S. A., Parks M. L., Kamm, J. R. et al. Modeling shockwaves and impact phenomena with Eulerian peridynamics [J]. International Journal of Impact Engineering, 2017, 107: 47–57.

    Google Scholar 

  135. Hu Y. L., Madenci E. Bond-based peridynamic modeling of composite laminates with arbitrary fiber orientation and stacking sequence [J]. Composite Structures, 2017, 153: 139–175.

    Google Scholar 

  136. Javili A., Morasata R., Oterkus E. et al. Peridynamics review [J]. Mathematics and Mechanics of Solids, 2019, 24(11): 3714–3739.

    MathSciNet  Google Scholar 

  137. Wang Q., Wang Y., Zan Y. et al. Peridynamics simulation of the fragmentation of ice cover by blast loads of an underwater explosion [J]. Journal of Marine Science and Technology, 2018, 23(5): 52–66.

    Google Scholar 

  138. Xue Y. Z., Lu X. K., Wang Q. et al. Simulation of three-point bending test of ice based on peridynamic [J]. Journal of Harbin Engineering University, 2018, 39(4): 607–613(in Chinese).

    Google Scholar 

  139. Ni B. Y., Wang Q., Xue Y. Z. et al. Numerical simulation on the damage of ice floe by high-pressure bubble jet loads [C]. 3rd Workshop and Symposium on Safety and Integrity Management of Operations in Harsh Environments, St. John’s, Canada, 2017.

  140. Liu M., Wang Q., Lu W. Peridynamic simulation of brittle-ice crushed by a vertical structure [J]. International Journal of Naval Architecture and Ocean Engineering, 2016, 9(2): 209–218.

    Google Scholar 

  141. Lu W., Wang Q., Jia B. et al. Simulation of ice-sloping structure interactions with peridynamics method [C]. Proceeding of 28th International Ocean and Polar Engineering Conference, ISOPE, Sapporo, Japan, 2018.

  142. Liu R. W., Xue Y. Z., Lu X. K. et al. Simulation of ship navigation in ice rubble based on peridynamics [J]. Ocean Engineering, 2018, 148: 286–298.

    Google Scholar 

  143. Lu X. K. Ice load calculation of icebreaker based on peridynamics and finite element coupling [D]. Master Thesis, Harbin, China: Harbin Engineering University, 2018 (in Chinese).

    Google Scholar 

  144. Liu R., Yan J., Li S. Modeling and simulation of ice-water interactions by coupling peridynamics with updated Lagrangian particle hydrodynamics [J]. Computational Particle Mechanics, 2020, 7: 241–255.

    Google Scholar 

  145. Yan J., Li S., Zhang A. M. et al. Updated Lagrangian particle hydrodynamics (ULPH) modeling and simulation of multiphase flows [J]. Journal of Computational Physics, 2019, 393: 406–437.

    MathSciNet  Google Scholar 

  146. Yan J., Li S., Kan X. et al. Higher-order nonlocal theory of updated Lagrangian particle hydrodynamics (ULPH) and simulations of multiphase flows [J]. Computer Methods in Applied Mechanics and Engineering, 2020, 368: 113176.

    MathSciNet  Google Scholar 

  147. Lindqvist G. A straight forward method for calculation of ice resistance of ships [C]. Proceedings of the 10th International Conference on Port and Ocean Engineering Under Arctic Conditions(POAC), Luleaa, Sweden, 1989, 722.

  148. Spencer D. A standard method for the conduct and analysis of ice resistance model tests [C]. Proceedings of the 23rd American Towing Tank Conference(ATTC), New Orleans, USA, 1992.

  149. Riska K., Wilhelmson M., Englund K. et al. Performance of merchant vessels in ice in the Baltic [R]. Helsinki, Finland: Finnish Maritime Administration, Winter Navigation Research Board No. 52, 1997.

    Google Scholar 

  150. Daley C. G. Energy based ice collision forces [C]. Proceeding of the 15th International Conference on Port and Ocean Engineering under Arctic Conditions (POAC), Helsinki, Finland, 1999, 2: 674–686.

  151. Colbourne D. B. Scaling pack ice and iceberg loads on moored ship shapes [J]. Oceanic Engineering International, 2000, 4(1): 39–45.

    Google Scholar 

  152. Bjerkås M. Review of measured full scale ice loads to fixed structures [C]. Proceeding of 26th International Conference on Offshore Mechanics and Arctic Engineering (OMAE), San Diego, California, USA, 2007.

  153. Kellner L., Herrnring H., Ring M. Review of ice load standards and comparison with measurements [C]. Proceeding of 36th International Conference on Offshore Mechanics and Arctic Engineering (OMAE), Trondheim, Norway, 2017.

  154. Jordaan I. J., Maes M. A., Brown P. W. et al. Probabilistic analysis of local ice pressure [J]. Journal of Offshore Mechanics and Arctic Engineering, 1993, 115(1): 83–89.

    Google Scholar 

  155. Kujala P., Arughadhoss S. Statistical analysis of ice crushing pressures on a ship’s hull during hull-ice interaction [J]. Cold Regions Science and Technology, 2012, 70: 1–11.

    Google Scholar 

  156. Ralph F., Jordaan I. J. Probabilistic methodology for design of arctic ships [C]. Proceeding of 32th International Conference on Offshore Mechanics and Arctic Engineering (OMAE), Nantes, France, 2013.

  157. Sinsabvarodom C., Chai W., Leira B. J. et al. Uncertainty assessments of structural loading due to first year ice based on the ISO standard by using Monte-Carlo simulation [J]. Ocean Engineering, 2020, 198: 106935.

    Google Scholar 

  158. Obisesan A., Sriramula S. Performance characterisation for risk assessment of striking ship impacts based on struck ship damaged volume [J]. Journal of Marine Science and Application, 2017, 16(2):111–128.

    Google Scholar 

  159. Bergström M., Hirdaris S., Valdez Banda O. A. Towards holistic performance-based conceptual design of Arctic cargo ships [C]. 13th International Marine Design Conference (IMDC 2018), Helsinki, Finland, 2018.

  160. Bergström M., Idrissova S., Farhang S. et al. Some new insights towards goal-based design of Arctic ships [C]. Proceedings of 8th Transport Research Arena TRA 2020, Helsinki, Finland, 2020.

  161. Timco G. W., Weeks W. F. A review of the engineering properties of sea ice [J]. Cold Regions Science and Technology, 2010, 60(2): 107–129.

    Google Scholar 

  162. Li Z. J., Riska K. Experimental study on the uniaxial compressive strength characteristics of fine grain ethanol model ice [J]. Journal of Glaciology and Geocryology, 1998, 20(2): 162–166(in Chinese).

    Google Scholar 

  163. Corlett E. C. B., Snaith G. R. Some aspects of icebreaker design [J]. Transaction of the Royal Institution of Naval Architects, 1964, 106(4): 389–413.

    Google Scholar 

  164. Tryde P. Ice forces acting on slender structures [C]. Proceedings of the 3rd International Conference on Port and Ocean Engineering under Arctic Conditions(POAC), Fairbanks, USA, 1975, 2: 961–963.

  165. Ettema R., Urroz G. E. On internal friction and cohesion in unconsolidated ice rubble [J]. Cold Regions Science and Technology, 1989, 16(3): 237–247.

    Google Scholar 

  166. Zufelt J. E., Tuthill A. M., Stanley J. M. Ice jam progression on the upper St. John River [C]. Proceeding of 9th Workshop on River Ice, Fredericton, Canada, 1997, 257–268.

  167. Liang Y. F., Wang Y. H., Liao Y. M. et al. Development trends of ice basin [J]. Ship Science and Technology, 2015, 37(S1): 21–26(in Chinese).

    Google Scholar 

  168. Schwarz J., Hirayama K., Wu H. C. Effect of ice thickness on ice forces [C]. Offshore Technology Conference, Houston, Texas, USA, 1974.

  169. Timco G. W. The mechanical and morphological properties of doped ice: A search for a better structurally simulated ice for model test basins [C]. Proceeding of the 5th International Conference on Port and Ocean Engineering under Arctic Conditions(POAC), Trondheim, Norway, 1979, 719–739.

  170. Timco G. W. EG/AD/S: A new type of model ice for refrigerated towing tanks [J]. Cold Regions Science and Technology, 1986, 12(2): 175–195.

    Google Scholar 

  171. Spencer D. S., Timco G. W. CD model ice-A process to produce correct density (CD) model ice [C]. Proceeding of 10th IAHR Symposium on Ice, Espoo, Finland, 1990, 175–195.

  172. Ni B. Y., Zhong K., Zhang D. J. et al. Experimental study on the reduction of collision between ship and crushing ice by using air bubbling system [J]. Journal of Vibration and Shock, 2020, in Press(in Chinese).

  173. ISO19906-2010. Petroleum and natural gas industries-arctic offshore structures [R]. Geneva, Switzerland: International Organization for Standardization, 2010.

  174. Huang Y., Shi Q., Song A. Model test study of the interaction between ice and a compliant vertical narrow structure [J]. Cold Regions Science and Technology, 2007, 49(2): 151–160.

    Google Scholar 

  175. Sodhi D. S. Crushing failure during ice-structure interaction [J]. Engineering Fracture Mechanics, 2001, 68(17–18): 1889–1921.

    Google Scholar 

  176. Sodhi D., Morri C. E. Characteristic frequency of force variations in continuous crushing of sheet ice against rigid cylindrical structures [J]. Cold Regions Science and Technology, 1986, 12(1): 1–12.

    Google Scholar 

  177. Karna T., Turunen R. Dynamic response of narrow structures to ice crushing [J]. Cold Regions Science and Technology, 1989, 17(2): 173–187.

    Google Scholar 

  178. Yue Q. J., Du X. Z., Bi X. J. et al. Dynamic ice loads during interaction with vertical compliant structures [J]. Engineering Mechanics, 2004, 21(1): 202–208(in Chinese).

    Google Scholar 

  179. Määttänen M., Løset S., Metrikine A. et al. Novel ice induced vibration testing in a large-scale facility: Deciphering ice induced vibrations, Part 1 [C]. Proceeding of 21st IAHR international Symposium on Ice, Dalian, China, 2012, 946–958.

  180. Ziemer G., Evers K. U. Model tests with a compliant cylindrical structure to investigate ice-induced vibrations [J]. Journal of Offshore Mechanics and Arctic Engineering, 2016, 138(4): 041501

    Google Scholar 

  181. Hendrikse H., Ziemer G., Owen C. C. Experimental validation of a model for prediction of dynamic ice-structure interaction [J]. Cold Region Science and Technology, 2018, 151: 345–358.

    Google Scholar 

  182. Timco, G. W., Johnston M. Ice loads on the caisson structures in the Canadian Beaufort Sea [J]. Cold Regions Science and Technology, 2004, 38(2–3): 185–209.

    Google Scholar 

  183. Tian Y., Huang Y. The dynamic ice loads on conical structures [J]. Ocean Engineering, 2013, 59: 37–46.

    Google Scholar 

  184. Xu N., Yue Q., Bi X. et al. Experimental study of dynamic conical ice force [J]. Cold Regions Science and Technology, 2015, 120: 21–29.

    Google Scholar 

  185. Bergsma J. M., Bouhuys C. W., Schaap T. et al. On the measurement of submersion ice resistance of ships, using artificial ice [C]. Proceeding of the 24th International Ocean and Polar Engineering Conference, ISOPE, Busan, Korea, 2014.

  186. Sawamura J., Imaki K., Shiraishi T. et al. Ice resistance test of a ship using synthetic ice in small pack ice floes and wave interactions [C]. Proceeding of the 28th International Ocean and Polar Engineering Conference, ISOPE, Sapporo, Japan, 2018.

  187. Timco G. W. Ice forces on structures: physical modeling techniques [C]. Proceedings of IAHR Ice Symposium, Hamburg, Germany, 1984.

  188. Jones S. J. Ships in ice-A review [C]. 25th Symposium on Naval Hydrodynamics, St. John’s, Newfoundland and Labrador, Canada, 2004.

  189. Serre N., Liferov P., Evers K. U. Experimental studies of ice ridge loads on structures [C]. Proceedings of the HYDRALAB III Joint User Meeting, Hannover, Germany, 2010.

  190. Eik K., Marchenko A. Model tests of iceberg towing [J]. Cold Regions Science and Technology, 2010, 61(1): 1–28.

    Google Scholar 

  191. Izumiyama K., Takimoto T., Uto S. Length of ice load patch on a ship bow in level ice [C]. 10th International Symposium on Practical Design of Ships and Other Floating Structures, Houston, Texas. USA: American Bureau of Shipping, 2007.

    Google Scholar 

  192. Shi Y. Model test data analysis of ship maneuverability in ice [D]. Master Thesis, St. John’s, Canada: Memorial University of Newfoundland, 2002.

    Google Scholar 

  193. Wang J. Y., Akinturk A., Bose N. et al. An overview of model tests and numerical predictions for propeller-ice interaction [C]. 8th Canadian Marine Hydrodynamics and Structures Conferences, St. John’s, Newfoundland and Labrador, Canada, 2007.

  194. Chen H., Gilbert R. P., Guyenne P. Dispersion and attenuation in a porous viscoelastic model for a gravity waves on an ice-covered ocean [J]. European Journal of Mechanics B/Fluids, 2019, 78: 88–105.

    MathSciNet  MATH  Google Scholar 

  195. Wang F., Zhou Z. J., Zhou L. et al. Numerical simulation of ice milling loads on propeller blade with cohesive element method [J]. Brodogradnja, 2019, 70(1): 109–128.

    Google Scholar 

  196. Fries T. P., Belytschko T. The extended/generalized finite element method: An overview of the method and its applications [J]. International Journal for Numerical Methods in Engineering, 2010, 84(3): 253–304.

    MathSciNet  MATH  Google Scholar 

  197. Cui P., Zhang A. M., Wang S. P. et al. Ice breaking by a collapsing bubble [J]. Journal of Fluid Mechanics, 2018, 841: 287–309.

    MATH  Google Scholar 

  198. Yuan G. Y., Ni B. Y., Wu Q. G. et al. An experimental study on the dynamics and damage capabilities of a bubble collapsing in the neighborhood of a floating ice cake [J]. Journal of Fluids and Structure, 2020, 92: 102833.

    Google Scholar 

  199. Cui P., Zhang A. M., Wang S. P. et al. Experimental study on interaction, shock wave emission and ice breaking of two collapsing bubbles [J]. Journal of Fluid Mechanics, 2020, 897: A25.

    MATH  Google Scholar 

  200. Kan X. Y., Zhang A. M., Yan J. L. et al. Numerical investigation of ice breaking by a high-pressure bubble based on a coupled BEM-PD model [J]. Journal of Fluids and Structures, 2020, 96: 103016.

    Google Scholar 

  201. Ni B. Y., Guo P. J., Xue Y. Z. Ice-breaking mechanism experiment of air bubbling system in a small ice pool [J]. Journal of Harbin Engineering University, 2020, 41(6): 69–75(in Chinese).

    Google Scholar 

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Authors and Affiliations

  1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, China

    Bao-yu Ni, Duan-feng Han, Shao-cheng Di & Yan-zhuo Xue

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  1. Bao-yu Ni
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  2. Duan-feng Han
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Correspondence to Duan-feng Han.

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Project supported by the National Key R&D Program of China (Grant No. 2017YFE0111400), the National Natural Science Foundation of China (Grant Nos. 51979051, 51979056 and 51639004).

Biography: Bao-yu Ni (1986-), Male, Ph. D., Professor

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Ni, By., Han, Df., Di, Sc. et al. On the development of ice-water-structure interaction. J Hydrodyn 32, 629–652 (2020). https://doi.org/10.1007/s42241-020-0047-8

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