Simulation of Sea-ice Thermodynamics by a Smoothed Particle Hydrodynamics Method

Babko O., Rothrock D. A., Maykut G. A. (2002) Role of rafting in the mechanical redistribution of sea ice thickness, J. Geophys. Res., 107 (C8), 3113, DOI: 10.1029/1999JC000190.10.1029/1999JC000190Search in Google Scholar

Belytschko T., Krongauz Y., Dolbow J., Gerlach C. (1998) On the completeness of meshfree particle methods, Int. J. Numer. Meth. Eng., 43 (5), 785–819, DOI: 10.1002/(SICI)1097-0207(19981115) 43:5.10.1002/(SICI)1097-0207(19981115)43:5Open DOISearch in Google Scholar

Bitz C. M., Lipscomb W. H. (1999) An energy-conserving thermodynamic model for sea ice, J. Geophys. Res., 104 (C7), 15 669–15 677, DOI: 10.1029/1999JC900100.10.1029/1999JC900100Open DOISearch in Google Scholar

Chadwick P. (1999) Continuum Mechanics: Concise Theory and Problems, Dover, Mineola, New York, 2nd edn.Search in Google Scholar

Flato G. M. (1993) A particle-in-cell sea-ice model, Atmos.-Ocean, 31 (3), 339–358.10.1080/07055900.1993.9649475Search in Google Scholar

Flato G. M., Hibler W. D. (1992) Modeling pack ice as a cavitating fluid, J. Phys. Oceanogr., 22 (6), 626–651.10.1175/1520-0485(1992)022<0626:MPIAAC>2.0.CO;2Search in Google Scholar

Gray J. M. N. T., Morland L. W. (1994) A two-dimensional model for the dynamics of sea ice, Phil. Trans. R. Soc. Lond., A 347 (1682), 219–290, DOI: 10.1098/rsta.1994.0045.10.1098/rsta.1994.0045Open DOISearch in Google Scholar

Gray J. P., Monaghan J. J., Swift R. P. (2001) SPH elastic dynamics, Comput. Meth. Appl. Mech. Eng., 190 (49-50), 6641–6662, DOI: 10.1016/S0045-7825(01)00254-7.10.1016/S0045-7825(01)00254-7Open DOISearch in Google Scholar

Gutfraind R., Savage S. B. (1997a) Marginal ice zone rheology: Comparison of results from continuum-plastic models and discrete-particle simulations, J. Geophys. Res., 102 (C6), 12 647–12 661, DOI: 10.1029/97JC00124.10.1029/97JC00124Open DOISearch in Google Scholar

Gutfraind R., Savage S. B. (1997b) Smoothed particle hydrodynamics for the simulation of broken-ice fields: Mohr-Coulomb-type and frictional boundary conditions, J. Comput. Phys., 134 (2), 203–215, DOI: 10.1006/jcph.1997.5681.10.1006/jcph.1997.5681Open DOISearch in Google Scholar

Gutfraind R., Savage S. B. (1998) Flow of fractured ice through wedge-shaped channels: smoothed particle hydrodynamics and discrete-element simulations, Mech. Mater., 29 (1), 1–17.10.1016/S0167-6636(97)00072-0Search in Google Scholar

Hibler W. D. (1979) A dynamic thermodynamic sea ice model, J. Phys. Oceanogr., 9 (4), 815–846.10.1175/1520-0485(1979)009<0815:ADTSIM>2.0.CO;2Search in Google Scholar

Hunke E. C., Dukowicz J. K. (1997) An elastic-viscous-plastic model for sea ice dynamics, J. Phys. Oceanogr., 27 (9), 1849–1867.10.1175/1520-0485(1997)027<1849:AEVPMF>2.0.CO;2Search in Google Scholar

Li S., Liu W. K. (2004) Meshfree Particle Methods, Springer, Berlin.Search in Google Scholar

Mellor M. (1980) Mechanical properties of polycrystalline ice, [in:] Physics and Mechanics of Ice, Proc. IUTAM Symp. Copenhagen 1979 (ed. P. Tryde), Springer, Berlin, 217–245.10.1007/978-3-642-81434-1_17Search in Google Scholar

Monaghan J. J. (1992) Smoothed particle hydrodynamics, Annu. Rev. Astron. Astrophys., 30, 543–574, DOI: 10.1146/annurev.aa.30.090192.002551.10.1146/annurev.aa.30.090192.002551Open DOISearch in Google Scholar

Monaghan J. J. (2005) Smoothed particle hydrodynamics, Rep. Prog. Phys., 68 (8), 1703–1759, DOI: 10.1088/0034-4885/68/8/R01.10.1088/0034-4885/68/8/R01Search in Google Scholar

Monaghan J. J. (2012) Smoothed particle hydrodynamics and its diverse applications, Annu. Rev. Fluid Mech., 44, 323–346, DOI: 10.1146/annurev-fluid-120710-101220.10.1146/annurev-fluid-120710-101220Open DOISearch in Google Scholar

Morland L. W., Staroszczyk R. (1998) A material coordinate treatment of the sea-ice dynamics equations, Proc. R. Soc. Lond., A 454 (1979), 2819–2857, DOI: 10.1098/rspa.1998.0283.10.1098/rspa.1998.0283Open DOISearch in Google Scholar

Morris J. P. (1996) Analysis of Smoothed Particle Hydrodynamics with Applications, Ph.D. thesis, Monash University, Melbourne, Australia.Search in Google Scholar

Parkinson C. L.,WashingtonW. M. (1979) A large-scale numerical model of sea-ice, J. Geophys. Res., 84 (C1), 311–337, DOI: 10.1029/JC084iC01p00311.10.1029/JC084iC01p00311Open DOISearch in Google Scholar

Sanderson T. J. O. (1988) Ice Mechanics. Risks to Offshore Structures, Graham and Trotman, London.Search in Google Scholar

Schulkes R. M. S. M., Morland L. W., Staroszczyk R. (1998) A finite-element treatment of sea ice dynamics for different ice rheologies, Int. J. Numer. Anal. Meth. Geomech., 22 (3), 153–174.10.1002/(SICI)1096-9853(199803)22:3<153::AID-NAG912>3.0.CO;2-ESearch in Google Scholar

Smith G. D., Morland L. W. (1981) Viscous relations for the steady creep of polycrystalline ice, Cold Reg. Sci. Technol., 5 (2), 141–150.10.1016/0165-232X(81)90048-3Search in Google Scholar

Staroszczyk R. (2005) Loads exerted by floating ice on a cylindrical structure, Arch. Hydro-Eng. Environ. Mech., 52 (1), 39–58.Search in Google Scholar

Staroszczyk R. (2010) Simulation of dam-break flow by a corrected smoothed particle hydrodynamics method, Arch. Hydro-Eng. Environ. Mech., 57 (1), 61–79.Search in Google Scholar

Staroszczyk R. (2011) Simulation of solitary wave mechanics by a corrected smoothed particle hydrodynamics method, Arch. Hydro-Eng. Environ. Mech., 58 (1-4), 23–45, DOI: 10.2478/ v10203-011-0002-9.10.2478/v10203-011-0002-9Open DOISearch in Google Scholar

Staroszczyk R. (2017) SPH modelling of sea-ice pack dynamics, Arch. Hydro-Eng. Environ. Mech., 64 (2), 115–137, DOI: 10.1515/heem-2017-0008.10.1515/heem-2017-0008Open DOISearch in Google Scholar

Thorndike A. S., Rothrock D. A., Maykut G. A., Colony R. (1975) The thickness distribution of sea ice, J. Geophys. Res., 80, 4501–4513, DOI: 10.1029/JC080i033p04501. DOI: 10.1515/heem-2018-001810.1029/JC080i033p04501.DOI:10.1515/heem-2018-0018Open DOISearch in Google Scholar