Have a personal or library account? Click to login
Simulation of Sea-ice Thermodynamics by a Smoothed Particle Hydrodynamics Method Cover

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

Open Access
|Jun 2019

References

  1. 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: 10.1029/1999JC000190.10.1029/1999JC000190
  2. 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)43:5
  3. 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: 10.1029/1999JC900100.10.1029/1999JC900100
  4. Chadwick P. (1999) Continuum Mechanics: Concise Theory and Problems, Dover, Mineola, New York, 2nd edn.
  5. Flato G. M. (1993) A particle-in-cell sea-ice model, Atmos.-Ocean, 31 (3), 339–358.10.1080/07055900.1993.9649475
  6. 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;2
  7. 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.1994.0045
  8. 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)00254-7
  9. 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: 10.1029/97JC00124.10.1029/97JC00124
  10. 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.1997.5681
  11. 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)00072-0
  12. 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;2
  13. 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;2
  14. Li S., Liu W. K. (2004) Meshfree Particle Methods, Springer, Berlin.
  15. 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_17
  16. 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.30.090192.002551
  17. 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/R01
  18. 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-120710-101220
  19. 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.1998.0283
  20. Morris J. P. (1996) Analysis of Smoothed Particle Hydrodynamics with Applications, Ph.D. thesis, Monash University, Melbourne, Australia.
  21. 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/JC084iC01p00311
  22. Sanderson T. J. O. (1988) Ice Mechanics. Risks to Offshore Structures, Graham and Trotman, London.
  23. 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-E
  24. 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)90048-3
  25. Staroszczyk R. (2005) Loads exerted by floating ice on a cylindrical structure, Arch. Hydro-Eng. Environ. Mech., 52 (1), 39–58.
  26. Staroszczyk R. (2010) Simulation of dam-break flow by a corrected smoothed particle hydrodynamics method, Arch. Hydro-Eng. Environ. Mech., 57 (1), 61–79.
  27. 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/v10203-011-0002-9
  28. 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-2017-0008
  29. 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-2018-0018
DOI: https://doi.org/10.1515/heem-2018-0017 | Journal eISSN: 2300-8687 | Journal ISSN: 1231-3726
Language: English
Page range: 277 - 299
Submitted on: Oct 10, 2018
Accepted on: Dec 19, 2018
Published on: Jun 18, 2019
Published by: Polish Academy of Sciences, Institute of Hydro-Engineering
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Ryszard Staroszczyk, published by Polish Academy of Sciences, Institute of Hydro-Engineering
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.