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Evolution of the thickness distribution of ice in the sea of Japan

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Abstract

Simple mathematical models of the thermodynamics of the ice-cover thickness and the thermodynamics of the area of an individual ice floe are proposed. The equations of the models allow for an explicit consideration of the spatial boundedness of the seawater region containing ice covers. A kinetic model of the evolution of the distributions of ice area and ice thickness is formulated on the basis of the gas-dynamic theory. Integration of the equations of this model over the surface areas of individual floes gives the thickness distribution of ice areas. Several special cases are studied analytically. The adequacy of the models is assessed. The results of simulations are presented.

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References

  1. Yu. P. Doronin and D. E. Kheisin, Sea Ice (Gidrometeoizdat, Leningrad, 1975) [in Russian].

    Google Scholar 

  2. A. S. Thorndike, et al., “The Thickness Distribution of Sea Ice,” J. Geophys. Res. 80, 4501–4513 (1975).

    Article  Google Scholar 

  3. A. J. Semtner, “A Model for the Thermodynamics Growth of Sea Ice in Numerical Investigations of Climate,” J. Phys. Oceanogr. 6, 379–389 (1976).

    Article  Google Scholar 

  4. I. L. Appel’ and Z. M. Gudkovich, Numerical Simulation and Prediction of the Evolution of the Ice Cover in the Arctic Seas during the Melting Period (Gidrometeoizdat, St. Petersburg, 1992) [in Russian].

    Google Scholar 

  5. D. A. Rothrock, Y. Yu, and G. A. Maykut, “Thinning of the Sea-Ice Cover,” Geophys. Res., Lett. 26, 3469–3472 (1999).

    Article  Google Scholar 

  6. V. V. Plotnikov, Variability of Ice Conditions in the Far East Seas of Russia and Their Prediction (Dal’nauka, Vladivostok, 2002) [in Russian].

    Google Scholar 

  7. A. N. Chetyrbotskii and V. V. Plotnikov, “Ice Cover of the Sea of Japan: Initial Data and a Procedure for Reconstruction of Missed Values,” Elektron. Zh. Issled. Rossii, No. 7, 88–93 (2003); http://zhurnal.ape.relarn.ru/articles/2003/007.pdf

  8. A. H. Perry and J. M. Walker, Ocean-Atmosphere System (Gidrometeoizdat, Leningrad, 1979) [in Russian].

    Google Scholar 

  9. J. D. Ashton, “Growth, Movement, and Destruction of Freshwater Ices,” in Dynamics of Snow and Ice Masses (Gidrometeoizdat, Leningrad), pp. 266–305 [in Russian].

  10. Yu. M. Romanovskii, N. V. Stepanova, and D. S. Chernavskii, Mathematical Biophysics (Nauka, Moscow, 1984) [in Russian].

    Google Scholar 

  11. A. A. Samarskii and A. P. Mikhailov, Mathematical Modeling: Ideas, Methods, Examples (Fizmatlit, Moscow, 2002) [in Russian].

    Google Scholar 

  12. Yu. M. Svirezhev, Nonlinear Waves, Dissipative Structures, and Catastrophes in Ecology (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  13. A. N. Chetyrbotskii, “Local Evolution of the Thickness of the Ice Cover of Water Surfaces,” in Tr. TOVMI im. adm. Makarova, Vyp. 23 (2001), pp. 117–123 [in Russian].

    Google Scholar 

  14. A. N. Chetyrbotsky, “Local Evolution of Thickness of an Ice Cover of Water Tables,” (ACSYS Decade and Beyond, St. Petersburg, 2003), pp. 160–161.

    Google Scholar 

  15. L. P. Yakunin, “Ice Studies in the Far East Seas,” Probl. Arkt. Antarkt., No. 77, 102–107 (1979).

  16. S. N. Ovsienko, “On Numerical Simulation of Ice Drift,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 12, 1201–1206 (1976).

    Google Scholar 

  17. Yu. S. Sedunov, Physics of Liquid-Drop Phase Formation in the Atmosphere (Gidrometeoizdat, Leningrad, 1972) [in Russian].

    Google Scholar 

  18. V. M. Voloshchuk and Yu. S. Sedunov, Coagulation Processes in Disperse Systems (Gidrometeoizdat, Leningrad, 1975) [in Russian].

    Google Scholar 

  19. V. M. Voloshchuk, Kinetic Theory of Coagulation (Gidrometeoizdat, Leningrad, 1984) [in Russian].

    Google Scholar 

  20. Guidelines for Forecast Service (Gidrometeoizdat, Leningrad, 1982), Part 3 [in Russian].

  21. I. Bard, Nonlinear Estimation of Parameters (Statistika, Moscow, 1979) [in Russian].

    Google Scholar 

  22. V. Ya. Sergin and S. Ya. Sergin, System Analysis of the Problem of Large Oscillations of Climate and the Earth’s Icing (Gidrometeoizdat, Leningrad, 1978) [in Russian].

    Google Scholar 

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Original Russian Text © A.N. Chetyrbotskii, 2006, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2006, Vol. 42, No. 5, pp. 693–702.

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Chetyrbotskii, A.N. Evolution of the thickness distribution of ice in the sea of Japan. Izv. Atmos. Ocean. Phys. 42, 637–645 (2006). https://doi.org/10.1134/S0001433806050100

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  • DOI: https://doi.org/10.1134/S0001433806050100

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