Technical Papers
Feb 5, 2021

Simulation of Brash Ice Behavior in the Gulf of Bothnia Using Smoothed Particle Hydrodynamics Formulation

Publication: Journal of Cold Regions Engineering
Volume 35, Issue 2

Abstract

The repeated passage of ships through ice-infested waters create a field of broken ice pieces. The typical size of the broken ice pieces is generally <2.0 m. This area might be referred to as a brash ice field. The movement of ships and vessels leads to the transportation and accumulation of broken ice pieces in a brash ice field. A better understanding of the properties and behavior of brash ice could improve the estimates of ice load that are associated with shipping in a brash ice field. An in situ test referred to in this study as a pull up test will be performed in Luleå harbor, Luleå, Sweden. An attempt will be made to estimate the mechanical and physical properties of a brash ice field based on the in situ test results. The test setup, procedure, and test results will be described in detail. Furthermore, the test will be simulated using the smoothed particle hydrodynamics (SPH) formulation. The numerical simulations will calibrate the numerical and material model of brash ice using the pull up test measurements. In this numerical model, a discrete mass-spring-dashpot model will be used to simulate buoyancy and drag. The continuous surface cap model (CSCM) will be used as a material model for the brash ice. The elastic modulus and the fracture energy of brash ice as a material model input will be estimated by an ad hoc scaling formula. The parameters, such as void fraction (Vf), cohesion (c), and angle of internal friction (φ) will be altered to assess their influence on the test data. The analysis of the in situ test results and the simulation results provide a preliminary approach to understand the brash ice failure process that could be further developed into modeling techniques for marine design and operations.

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Acknowledgments

The authors gratefully acknowledge the financial and technical support from the Research Council of Norway, (Project No. 195153, ColdTech) and industrial partners. The project group of SSPA Sweden AB, the crew of the tugboat Viscaria and the staff of the Port of Luleå, Luleå, Sweden are thanked for their support. Special thanks to Dr. Ross Wakelin (SINTEF Narvik) for his intensive proofreading of this paper.

References

Bonath, V., C. Petrich, A. Patil, L. Fransson, and A. Cwirzen. Forthcoming. “Seasonal development and resistance of a regularly broken ice-covered ship channel in the Baltic Sea.” Cold Reg. Sci. Technol.
Bonath, V., V. Zhaka, and B. Sand. 2019. “Field measurements on the behavior of brash ice.” In Proc., 25th Int. Conf. on Port and Ocean Engineering under Arctic Conditions, 1–8. Delft, The Netherlands: Delft University of Technology (TU Delft).
Cabrera, M. I. 2017. “Smoothed particle hydrodynamics modeling of brash ice.” Master thesis, Advance Master in Naval Architecture, Univ. of Liege, Univ. of Rostock.
Dobrodeev, A. A., and K. E. Sazonov. 2019. “Ice resistance calculation method for a ship sailing via brash ice channel.” In Proc., 25th Int. Conf. on Port and Ocean Engineering under Arctic Conditions, 1–12. Delft, The Netherlands: Delft University of Technology (TU Delft).
Ettema, R., M. Matsuishi, and T. Kitazawa. 1986. “Model tests on ice-rubble size and ship resistance in ice rubble.” Cold Reg. Sci. Technol. 12 (3): 229–243. https://doi.org/10.1016/0165-232X(86)90037-6.
Ettema, R., J. A. Schaefer, and H. P. Huang. 1998. “Ice-tank data on brash-ice loads against barges.” J. Cold Reg. Eng. 12 (3): 153–161. https://doi.org/10.1061/(ASCE)0887-381X(1998)12:3(153).
Fransson, L., and J. Sandkvist. 1985. “Brash ice shear properties: Laboratory tests.” In Proc., 8th Int. Conf. on Port and Ocean Engineering under Arctic Conditions, 75–87. Hørsholm, Denmark: Dansk Hydraulisk Institut.
Fransson, L., and L. Stehn. 1993. “Porosity effects on measured strength of warm ice.” In Proc., 12th Int. Conf. on Port and Ocean Engineering under Arctic Conditions, 23–36. Hamburg, Germany: HSVA.
Gingold, R. A., and J. J. Monaghan. 1977. “Smoothed particle hydrodynamics: Theory and application to non-spherical stars.” MNRAS 181 (3): 375–389. https://doi.org/10.1093/mnras/181.3.375.
Greisman, P. 1981. Brash ice behavior. Groton, CT: Coast Guard Research and Development Center.
Heinonen, J. 2004. “Constitutive modeling of ice rubble in first-year ridge keel.” Ph.D. thesis, Dept. of Mechanical Engineering, Helsinki Univ. of Technology.
Hopkins, M. A., W. D. Hibler III, and G. M. Flato. 1991. “On the numerical simulation of the sea ice ridging process.” J. Geophys. Res. 96 (C3): 4809–4820. https://doi.org/10.1029/90JC02375.
Hopkins, M. A., J. Tuhkuri, and M. Lensu. 1999. “Rafting and ridging of thin ice sheets.” J. Geophys. Res.: Oceans 104 (C6): 13605–13613. https://doi.org/10.1029/1999JC900031.
Hu, J., and L. Zhou. 2015. “Experimental and numerical study on ice resistance for icebreaking vessels.” Int. J. Nav. Archit. Ocean Eng. 7 (3): 626–639. https://doi.org/10.1515/ijnaoe-2015-0044.
ISO. 2010. Petroleum and natural gas industries–Arctic offshore structures. ISO 19906. Geneva: ISO.
Jeong, S.-Y., J. Jang, K.-J. Kang, and H.-S. Kim. 2017. “Implementation of ship performance test in brash ice channel.” Ocean Eng. 140: 57–65. https://doi.org/10.1016/j.oceaneng.2017.05.008.
Keinonen, A., and Nyman, T. 1978. “An experimental model-scale study on the compressible, frictional and cohesive behaviour of broken ice mass.” In IAHR Int. Symp. on Ice Problems, 335–353. Luleå, Sweden: Np.
Kim, J.-H., Y. Kim, H.-S. Kim, and S.-Y. Jeong. 2019. “Numerical simulation of ice impacts on ship hulls in broken ice fields.” Ocean Eng. 180: 162–174. https://doi.org/10.1016/j.oceaneng.2019.03.043.
Kitazawa, T., and R. Ettema. 1985. “Resistance to ship-hull motion through brash ice.” Cold Reg. Sci. Technol. 10 (3): 219–234. https://doi.org/10.1016/0165-232X(85)90034-5.
Korzani, M. G., S. A. Galindo-Torres, A. Scheuermann, and D. J. Williams. 2017. “Parametric study on smoothed particle hydrodynamics for accurate determination of drag coefficient for a circular cylinder.” Water Sci. Eng. 10 (2): 143–153. https://doi.org/10.1016/j.wse.2017.06.001.
Li, F., M. Kõrgesaar, P. Kujala, and F. Goerlandt. 2020. “Finite element based meta-modeling of ship-ice interaction at shoulder and midship areas for ship performance simulation.” Mar. struct. 71: 102736. https://doi.org/10.1016/j.marstruc.2020.102736.
Liu, G.-R., and M. B. Liu. 2003. Smoothed particle hydrodynamics: A meshfree particle method. Singapore: World Scientific.
LSTC (Livermore Software Technology Corporation). 2017. LS-DYNA Keyword user’s manual, Volume I, R10.0. Livermore, CA: LSTC.
Lucy, L. B. 1977. “A numerical approach to the testing of the fission hypothesis.” Astron. J. 82: 1013–1024. https://doi.org/10.1086/112164.
Luo, W., D. Jiang, T. Wu, C. Guo, C. Wang, R. Deng, and S. Dai. 2020. “Numerical simulation of an ice-strengthened bulk carrier in brash ice channel.” Ocean Eng. 196: 106830. https://doi.org/10.1016/j.oceaneng.2019.106830.
Matala, R., and T. Skogström. 2019. “Soil mechanics measurement methods applied in model brash ice.” In Proc., 25th Int. Conf. on Port and Ocean Engineering under Arctic Conditions, 1–12. Delft, The Netherlands: Delft University of Technology (TU Delft).
Melia, N., K. Haines, and E. Hawkins. 2016. “Sea ice decline and 21st century trans-Arctic shipping routes.” Geophys. Res. Lett. 43 (18): 9720–9728. https://doi.org/10.1002/2016GL069315.
Mellor, M. 1980. “Ship resistance in thick brash ice.” Cold Reg. Sci. Technol. 3 (4): 305–321. https://doi.org/10.1016/0165-232X(80)90037-3.
Monaghan, J. J. 1994. “Simulating free surface flows with SPH.” J. Comput. Phys. 110 (2): 399–406. https://doi.org/10.1006/jcph.1994.1034.
Monaghan, J. J. 2005. “Smoothed particle hydrodynamics.” Rep. Prog. Phys. 68 (8): 1703–1759. https://doi.org/10.1088/0034-4885/68/8/R01.
Murray, Y. D. 2007. Users manual for LS-DYNA concrete material model 159. Washington, DC: Federal Highway Administration.
Murray, Y. D., A. Y. Abu-Odeh, and R. P. Bligh. 2007. Evaluation of LS-DYNA concrete material model 159. Washington, DC: Federal Highway Administration.
Patil, A., B. Sand, and L. Fransson. 2015a. “Finite element simulation of punch through test using a continuous surface cap model.” In Proc., 23rd Int. Conf. on Port and Ocean Engineering under Arctic Conditions, 1–11. Trondheim, Norway: The Norwegian University of Science and Technology (NTNU).
Patil, A., B. Sand, and L. Fransson. 2015b. “Smoothed particle hydrodynamics and continuous surface cap model to simulate ice rubble in punch through test.” In Proc., 23rd Int. Conf. on Port and Ocean Engineering under Arctic Conditions, 1–9. Trondheim, Norway: The Norwegian University of Science and Technology (NTNU).
Polojarvi, A., and J. Tuhkuri. 2009. “3D discrete numerical modelling of ridge keel punch through tests.” Cold Reg. Sci. Technol. 56 (1): 18–29. https://doi.org/10.1016/j.coldregions.2008.09.008.
Polojärvi, A., and J. Tuhkuri. 2013. “On modeling cohesive ridge keel punch through tests with a combined finite-discrete element method.” Cold Reg. Sci. Technol. 85: 191–205. https://doi.org/10.1016/j.coldregions.2012.09.013.
Polojärvi, A., J. Tuhkuri, and O. Korkalo. 2012. “Comparison and analysis of experimental and virtual laboratory scale punch through tests.” Cold Reg. Sci. Technol. 81: 11–25. https://doi.org/10.1016/j.coldregions.2012.04.008.
Prodanovic, A. 1979. “Model tests of ice rubble strength.” In Port and Ocean Engineering under Arctic Conditions. Trondheim, Norway: Norwegian Institute of Technology.
Riska, K., R. Bridges, S. Shumovskiy, C. Thomas, E. Coche, V. Bonath, A. Tobie, K. Chomatas, and R. C. D. de Oliveira. 2019. “Brash ice growth model—Development and validation.” Cold Reg. Sci. Technol. 157: 30–41. https://doi.org/10.1016/j.coldregions.2018.09.004.
Robb, D. M., S. J. Gaskin, and J.-C. Marongiu. 2016. “SPH-DEM model for free-surface flows containing solids applied to river ice jams.” J. Hydraul. Res. 54 (1): 27–40. https://doi.org/10.1080/00221686.2015.1131203.
Sandkvist, J. 1978. Problems in keeping year-round navigation in the Luleå harbour. Luleå, Sweden: Division of Water Resources Engineering, Univ. of Luleå.
Sandler, I. S., F. L. Dimaggio, and G. Y. Baladi. 1976. “Generalized cap model for geological materials.” J. Geotech. Geoenviron. Eng. 102 (7): 683–699.
Schwer, L. E., and Y. D. Murray. 1994. “A three-invariant smooth cap model with mixed hardening.” Int. J. Numer. Anal. Methods Geomech. 18 (10): 657–688. https://doi.org/10.1002/nag.1610181002.
Schwer, L. E., and Y. D. Murray. 2002. “Continuous surface cap model for geomaterial modeling: A new LS-DYNA material type.” In Proc., 7th Int. LSDYNA Users Conf., 16–35. Dearborn, MI: LSTC & ETA.
Simo, J. C., and J. Ju. 1987. “Strain- and stress-based continuum damage models—I. Formulation.” Int. J. Solids Struct. 23 (7): 821–840. https://doi.org/10.1016/0020-7683(87)90083-7.
Sorsimo, A., T. Nyman, and J. Heinonen. 2014. “Ship-ice interaction in a channel. Espoo, Finland: Winter Navigation Research Board.
Sukhorukov, S., and S. Løset. 2013. “Friction of sea ice on sea ice.” Cold Reg. Sci. Technol. 94: 1–12. https://doi.org/10.1016/j.coldregions.2013.06.005.
Swegle, J. W., D. L. Hicks, and S. W. Attaway. 1995. “Smoothed particle hydrodynamics stability analysis.” J. Comput. Phys. 116 (1): 123–134. https://doi.org/10.1006/jcph.1995.1010.
Tatinclaux, J., C. Lee, T. Wang, T. Nakato, and J. Kennedy. 1976. A laboratory investigation of the mechanics and hydraulics of river ice jams. Iowa City, IA: Iowa Institute of Hydraulic Research.
Trafi. 2010. Finnish-Swedish ice class rules 2010. Helsinki, Finland: Finnish Transport Safety Agency.
Tran, T. T. 2018. “Study of the SPH method for simulation in LS-DYNA.” Study SPH Method Simul. LS-DYNA 7 (8): 271–274.
Weeks, W. 2010. On sea ice. Fairbanks, AK: University of Alaska Press.
Xu, J., and J. Wang. 2014. “Interaction methods for the SPH parts (multiphase flows, solid bodies) in LS-DYNA.” In Proc., 13th Int. LS-DYNA Users Conf., 8–10. https://www.dynalook.com/conferences/13th-international-ls-dyna-conference.
Yreux, E. 2018. “Fluid flow modeling with SPH in LS-DYNA.” In Proc., 15th Int. LS-DYNA Users Conf., 1–6. https://www.dynalook.com/conferences/13th-international-ls-dyna-conference.
Zhang, N., X. Zheng, Q. Ma, and Z. Hu. 2019. “A numerical study on ice failure process and ice-ship interactions by smoothed particle hydrodynamics.” Int. J. Nav. Archit. Ocean Eng. 11 (2): 796–808. https://doi.org/10.1016/j.ijnaoe.2019.02.008.

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Go to Journal of Cold Regions Engineering
Journal of Cold Regions Engineering
Volume 35Issue 2June 2021

History

Received: Jan 10, 2020
Accepted: Dec 4, 2020
Published online: Feb 5, 2021
Published in print: Jun 1, 2021
Discussion open until: Jul 5, 2021

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Researcher, Ph.D. Student, Dept. of Civil, Environmental and Natural Resources Engineering, SINTEF Narvik and Luleå Univ. of Technology, Rombaksveien E6-47, Luleå, Narvik 8517, Norway (corresponding author). ORCID: https://orcid.org/0000-0001-7896-3710. Email: [email protected]
Bjørnar Sand [email protected]
Senior Researcher, Dept. of Structural Engineering, SINTEF Narvik, Rombaksveien E6-47, Narvik 8517, Norway. Email: [email protected]
Lennart Fransson [email protected]
Assistant Professor, Dept. of Civil, Environmental and Natural Resources Engineering, Luleå Univ. of Technology, Luleå F983, Sweden. Email: [email protected]
Victoria Bonath [email protected]
Research Assistant, Dept. of Civil, Environmental and Natural Resources Engineering, Luleå Univ. of Technology, Luleå F958, Sweden. Email: [email protected]
Andrzej Cwirzen [email protected]
Professor and Head of Subject, Holder of a Chair, Dept. of Civil, Environmental and Natural Resources Engineering, Luleå Univ. of Technology, Luleå F991, Sweden. Email: [email protected]

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