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SPH Modelling of Sea-ice Pack Dynamics

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper is concerned with the problem of sea-ice pack motion and deformation under the action of wind and water currents. Differential equations describing the dynamics of ice, with its very distinct mateFfigrial responses in converging and diverging flows, express the mass and linear momentum balances on the horizontal plane (the free surface of the ocean). These equations are solved by the fully Lagrangian method of smoothed particle hydrodynamics (SPH). Assuming that the ice behaviour can be approximated by a non-linearly viscous rheology, the proposed SPH model has been used to simulate the evolution of a sea-ice pack driven by wind drag stresses. The results of numerical simulations illustrate the evolution of an ice pack, including variations in ice thickness and ice area fraction in space and time. The effects of different initial ice pack configurations and of different conditions assumed at the coast–ice interface are examined. In particular, the SPH model is applied to a pack flow driven by a vortex wind to demonstrate how well the Lagrangian formulation can capture large deformations and displacements of sea ice.
Rocznik
Strony
115--137
Opis fizyczny
Bibliogr. 25 poz., rys.
Twórcy
  • Institute of Hydro-Engineering, Polish Academy of Sciences, Kościerska 7, 80-328 Gdańsk, Poland
Bibliografia
  • Babko O., Rothrock D. A. and 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.
  • Belytschko T., Krongauz Y., Dolbow J. and 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.
  • Chadwick P. (1999) Continuum Mechanics: Concise Theory and Problems, Dover, Mineola, New York, 2nd edn.
  • Flato G. M. (1993) A particle-in-cell sea-ice model, Atmos.-Ocean, 31 (3), 339–358.
  • Flato G. M. and Hibler W. D. (1992) Modeling pack ice as a cavitating fluid, J. Phys. Oceanogr., 22 (6), 626–651.
  • Gray J. M. N. T. and 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.
  • Gray J. P., Monaghan J. J. and 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.
  • Gutfraind R. and Savage S. B. (1997) 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.
  • Gutfraind R. and 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.
  • Hibler W. D. (1977) A viscous sea ice law as a stochastic average of plasticity, J. Geophys. Res., 82 (27), 3932–3938.
  • Hibler W. D. (1979) A dynamic thermodynamic sea ice model, J. Phys. Oceanogr., 9 (4), 815–846.
  • Li S. and Liu W. K. (2004) Meshfree Particle Methods, Springer, Berlin.
  • Monaghan J. J. (1992) Smoothed particle hydrodynamics, Annu. Rev. Astron. Astrophys., 30, 543–574, DOI: 10.1146/annurev.aa.30.090192.002551.
  • Monaghan J. J. (2005) Smoothed particle hydrodynamics, Rep. Prog. Phys., 68 (8), 1703–1759, DOI: 10.1088/0034-4885/68/8/R01.
  • 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.
  • Morland L. W. and 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.
  • Morris J. P. (1996) Analysis of Smoothed Particle Hydrodynamics with Applications, Ph.D. thesis, Monash University, Melbourne, Australia.
  • Overland J. E. and Pease C. H. (1988) Modeling ice dynamics of coastal seas, J. Geophys. Res., 93 (C12), 15,619–15,637, DOI: 10.1029/JC093iC12p15619.
  • Sanderson T. J. O. (1988) Ice Mechanics. Risks to Offshore Structures, Graham and Trotman, London.
  • Schulkes R. M. S. M., Morland L. W. and 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.
  • Shen H. T., Su J. and Liu L. (2000) SPH simulation of river ice dynamics, J. Comput. Phys., 165 (2), 752–770, DOI: 0.1006/jcph.2000.6639.
  • Smith R. B. (1983) A note on the constitutive law for sea ice, J. Glaciol., 29 (101), 191–195.
  • Staroszczyk R. (2005) Loads exerted by floating ice on a cylindrical structure, Arch. Hydro-Eng. Environ. Mech., 52 (1), 39–58.
  • Staroszczyk R. (2010) Simulation of dam-break flow by a corrected smoothed particle hydrodynamics method, Arch. Hydro-Eng. Environ. Mech., 57 (1), 61–79.
  • 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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f4b83ee6-63ec-4f0c-8b61-04f2bd80d97f
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