A fully prognostic coupled ice-ocean model is described. The ice model is based on the elastic-plastic constitutive law with ice mass and compactness described by distribution functions. The ice thermodynamics model is applied individually to each ice thickness category. Advection of the ice partial mass and concentrations is parameterized by a fourth-order algorithm that conserves monotonicity of the solution. The ocean is described as a three-dimensional time-dependent baroclinic model with free surface. The coupled model is applied to establish the Arctic Ocean seasonal climatology using fully prognostic models for ice and ocean. Results reflect the importance of the ice melting/freezing in the formation of the thermohaline structure of the upper ocean layer.

Issue Section:
Research Papers
Topics:
Arctic Ocean, Ice, Oceans, Seas, Algorithms, Constitutive equations, Freezing, Melting, Thermodynamics
1.
Aagaard, K., and Carmack, E. C., 1994, “The Arctic Ocean and Climate: A Perspective,” The Polar Oceans and Their Role in Shaping the Global Environment, The Nansen Centennial Volume, eds., O. M. Johannessen, R. D. Muench, and J. E. Overland, Geophysical Monograph 85, pp. 5–20.
2.
Blumberg
A. F.
, and
Mellor
G. L.
,
1983
, “
Diagnostic and Prognostic Numerical Circulation Studies of the South Atlantic Bight
,”
Journal of Geophysical Research
, Vol.
88
, No.
C8
, pp.
4579
–
4592
.
3.
Boris
J. P.
, and
Book
D. L.
,
1973
, “
Flux-Corrected Transport I: SHASTA—A Fluid Transport Algorithm that Works
,”
Journal of Computational Physics
, Vol.
11
, pp.
38
–
69
.
4.
Campbell, W. J., Gloersen, P., and Zwally, H. J., 1994: “Short and Long-Term Temporal Behavior of Polar Sea Ice Covers From Satellite Passive-Microwave Observations,” The Polar Oceans and Their Role in Shaping the Global Environment, The Nansen Centennial Volume, eds., O. M. Johannessen, R. D. Muench, and J. E. Overland, Geophysical Monograph 85, pp. 505–520.
5.
Carmack E. C., 1990, “Large-Scale Physical Oceanography of Polar Oceans,” Polar Oceanography, (Part A). Physical Science, ed., W. O. Smith, Jr., Academic Press. San Diego. CA, pp. 171–222.
6.
Coon, M. D., Maykut, G. A., Pritchard, R. S., Rothrock, D. A., and Thorndike, A. S., 1974, “Modeling the Pack Ice as an Elastic-Plastic Material,” AIDJEX Bulletin No. 24, University of Washington, Seattle, WA., pp. 1–106.
7.
Flato, G. M., 1994, “McPIC (Version 1.0). Documentation for the MultiCategory Particle-in-Cell Sea Ice Model,” Canadian Technical Report of Hydrography and Ocean Sciences No. 158.
8.
Flato
G. M.
, and
Hibler
W. D.
,
1995
, “
Ridging and Strength in Modeling the Thickness Distribution of Arctic Sea Ice
,”
Journal of Geophysical Research
, Vol.
100
, No:
C9
, pp.
18611
–
18626
.
9.
Gorshkov, S. G., 1980, Atlas of Oceans. Arctic Ocean, (in Russian), Military Defence Publishing House, Moscow, Russia.
10.
Gudkovich, Z. M., 1961, “Connection Between the Ice Drift in the Arctic Ocean and the Ice Conditions in the Soviet Arctic Seas,” Transactions of Oceanographic Committee, Vol. XI, Moscow, USSR Academy of Science.
11.
Hakkinen
S.
, and
Mellor
G. L.
,
1992
, “
Modelling the Seasonal Variability of a Coupled Arctic Ice-Ocean System
,”
Journal of Geophysical Research
, Vol.
97
(
C12
), pp.
20285
–
20304
.
12.
Hibler
W. D.
,
1977
, “
A Viscous Sea Ice Law as a Stochastic Average of Plastisity
,”
Journal of Geophysical Research
, Vol.
82
, pp.
3932
–
3938
.
13.
Hibler, W. D. III, 1980, “Modeling a Variable Thickness Sea Ice Cover,” Mon. Wea. Review, pp. 1943–1973.
14.
Kulakov, I. Yu, 1983, “Modelling of the Ice Dynamics Taking into account its Structure” (in Russian), Abstract, Second All-Union Conference on Ice Mechanics and Physics. Moscow, Russia, Institute of Problems of Mechanics, Soviet Academy of Science, p. 49.
15.
Loeng
H.
,
1991
, “
Features of the Physical Oceanographic Conditions of the Barents Sea
,”
Polar Research
,
10
, p.
5
–
18
.
16.
Makshtas, A. P., 1991, The Heat Budget of Arctic Ice in the Winter, International Glaciological Society, Cambridge, U.K.
17.
Marchuk, G. I., 1988, Splitting Methods (in Russian), Nauka, Moscow, Russia.
18.
Martin
S.
, and
Cavalieri
D. J.
,
1989
, “
Contributions of the Siberian shelf polynyas to the Arctic Ocean Intermediate and Deep Water
,”
Journal of Geophysical Research
, Vol.
94
, pp.
12725
–
12738
.
19.
Maykut
G. A.
,
1978
, “
Energy Exchange Over Young Sea Ice in the Central Arctic
,”
Journal of Geophysical Research
, Vol.
83
, No.
C7
, pp.
3646
–
3658
.
20.
Maykut
G. A.
,
1982
, “
Large-Scale Heat Exchange and Ice Production in the Central Arctic
,”
Journal of Geophysical Research
, Vol.
87
,
7971
–
7984
.
21.
Maykut
G. A.
, and
Untersteiner
N.
,
1971
, “
Some Results From a Time-Dependent Thermodynamic Model of Sea Ice
,”
Journal of Geophysical Research
, Vol.
76
. pp.
1550
–
1575
.
22.
Mellor, G. L., and Hakkinen, S., 1994, “A Review of Coupled Ice-Ocean Models,” The Polar Oceans and Their Role in Shaping the Global Environment. The Nansen Centennial Volume, eds., O. M. Johannessen, R. D. Muench, and J. E. Overland, Geophysical Monograph 85, pp. 21–31.
23.
Oberhuber
J. M.
,
1993
, “
Simulation of the Atlantic Circulation with a Coupled Sea Ice-Mixed Layer-Isopycnal General Circulation Model. Part 1: Model Description
,”
Journal of Physical Oceanography
, Vol.
23
, pp.
808
–
829
.
24.
Parkinson, C. L., 1978, “A Numerical Simulation of the Annual Cycle of Sea Ice in the Arctic and Antarctic,” NCAR Cooperative Thesis No. 46. The Ohio State University and National Center for Atmospheric Research.
25.
Pavlov, V. K., et al., 1994, “Hydrometeorological regime of the Kara, Laptev and East-Siberian Seas” (Part 1 of the research subcontract “Processes of Transfer and Transformation of Contaminants Inflowing by Continental Discharge into the Kara, Laptev and East-Siberian Seas”), Arctic and Antarctic Research Institute. St. Petersburg, Russia.
26.
Polyakov, I. V., 1996, “Diagnostic Calculations of the Currents and Sea Level Oscillations of the Arctic Ocean,” Izvestiya, Atmospheric and Oceanic Physics, Vol. 32, No. 5, 1996, pp. 637–649; transl. from Izvestiya AN. Fizika Atmosphery i Okeana, Vol. 32, No. 5, 1996, pp. 690–703.
27.
Polyakov, I. V., and Timokhov, L. A., 1994, “Mean Fields of Temperature and Salinity of the Arctic Ocean,” Russian Meteorology and Hydrology, No. 7, pp. 33–38.
28.
Pritchard, R. S., 1981, “Mechanical Behavior of Pack Ice,” Mechanics of Structured Media, Part A, ed., A. P. S. Selvadurai, Elsevier, Amsterdam, Holland, pp. 371–405.
29.
Pritchard
R. S.
,
Mueller
C.
,
Hanzlick
D. J.
, and
Yang
Y.-S.
,
1990
, “
Forecasting Bering Sea Ice Edge Behavior
,”
Journal of Geophysical Research
, Vol.
95
, No.
C1
, pp.
775
–
788
.
30.
Proshutinsky, A. Yu., Kolesov, S. A., and Frolov, I. E., 1992, “The Ice Drift Models. The Ivestigation and Forecasting System,” lectures at the seminar Arctic Technology Seen From Russia, Norwegian Institute of Technology Trondheim, Norway, pp. 25–54.
31.
Roache, P. J., 1976, Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, NM.
32.
Romanov, I. P., 1992, The Ice Cover of the Arctic Basin (in Russian), St. Petersburg State, The Arctic and Antarctic Research Institute Publication.
33.
Semtner, A. J., 1974, “An Oceanic General Circulation Model with Bottom Topography,” Technical Report No. 9, Dept of Meteorology, University of California.
34.
Semtner
A. J.
,
1976
, “
A Model for the Thermodynamic Growth of Sea Ice in Numerical Investigation of Climate
,”
Journal of Physical Oceanography
, Vol.
6
, pp.
379
–
389
.
35.
Thorndike
A. S.
,
Rothrock
D. A.
,
Maykut
G. A.
, and
Colony
R.
,
1975
, “
The Thickness Dstribution of Sa Ie
,”
Journal of Geophysical Research
, Vol.
80
, pp.
4501
–
4513
.
36.
Thorndike
A. S.
, and
Colony
R.
,
1982
, “
Sea Ice Motion in Response to Geostrophic Winds
,”
Journal of Geophysical Research
, Vol.
87
, No.
C8
, pp.
5845
–
5852
.
37.
Treshnikov, A. F., 1985, Atlas of the Arctic (in Russian), Moscow, Russia.
38.
Vinje, T., and Finnekasa, O., 1986, The Ice Transport Through the Fram Strait, Skr., Norsk Polarinst, Vol. 186. pp. 1–39.
39.
Voltsinger, N. E., Klevanny, K. A., and Pelinovsky, E. N., 1989, Long-Wave Dynamics of Marginal Zone, (in Russian), HydroMeteolzdat, Leningrad, Russia.
40.
Wadhams
P.
,
1983
, “
Sea-Ice Thickness Distribution in Fram Strait
,”
Nature
, Vol.
305
, London, U.K., p.
108
–
111
.
41.
Wadhams, P., 1994, “Sea Ice Thickness Changes and Their Relation to Climate,” The Polar Oceans and Their Role in Shaping the Global Environment, The Nansen Centennial Volume, eds., O. M. Johannessen, R. D. Muench, and J. E. Overland, Geophysical Monograph 85, pp. 337–361.
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