<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.the-cryosphere-discuss.net/inc/tcd/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>The Cryosphere Discussions</journal_title>
		<journal_url>www.the-cryosphere-discuss.net</journal_url>
		<issn>1994-0432</issn>
		<eissn>1994-0440</eissn>
		<volume_number>3</volume_number>
		<issue_number>3</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/tcd-3-1023-2009</doi>
	<article_url>http://www.the-cryosphere-discuss.net/3/1023/2009/</article_url>
	<abstract_html>http://www.the-cryosphere-discuss.net/3/1023/2009/tcd-3-1023-2009.html</abstract_html>
	<fulltext_pdf>http://www.the-cryosphere-discuss.net/3/1023/2009/tcd-3-1023-2009.pdf</fulltext_pdf>
	<start_page>1023</start_page>
	<end_page>1068</end_page>
	<publication_date>2009-11-24</publication_date>
	<article_title content_type="html">Polynyas in a dynamic-thermodynamic sea-ice model</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>E. Ö. Ólason</name>
			<email>einar.olason@zmaw.de</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>I. Harms</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Centre for Marine and Atmospheric Research, Institute of Oceanography, University of Hamburg,  Hamburg, Germany</affiliation>
	</affiliations>
	<abstract content_type="html">The response of a viscous-plastic dynamic-thermodynamic sea-ice model to a constant wind
      forcing is tested in an idealised setting. Bjornsson et al. (2001) have shown that the
      granular model of Tremblay and Mysak (1997) gives good results in such a set-up compared to
      a polynya flux model. Here it is shown that these results can be duplicated using the
      computationally more efficient elliptic yield curve approach by Hibler (1979) and
      modified Coulombic yield curve by Hibler and Schulson (2000). Some care is, however, required
      regarding the parametrisations of the ellipse. In addition it is shown that the new ice
      thickness formulation of Mellor and Kantha (1989) does not allow for proper polynya formation
      in the bay. In contrast the new ice thickness formulation of Hibler (1979) is found to
      give good results. Finally we propose a parametrisation of the ice demarcation thickness
      (&lt;i&gt;h&lt;/i&gt;&lt;sub&gt;0&lt;/sub&gt;) in Hibler&apos;s formulation, based on wind speed and ice thickness.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Backhaus,~J.: Improved representation of topographic effects by a~vertical adaptive grid in vector-ocean-model (VOM). Part I: Generation of adaptive grids, Ocean Model., 22, 114–127, \doi10.1016/j.ocemod.2008.02.003, 2008. </reference>
		<reference numeration="2" content_type="text"> Biggs,~N R T., Morales~Maqueda,~M A., and Willmott,~A J.: Polynya flux model solutions incorporating a~parameterization for the collection thickness of consolidated new ice,~J. Fluid Mech., 408, 179–204, \doi10.1017/S0022112099007673, 2000. </reference>
		<reference numeration="3" content_type="text"> Bjornsson,~H., Willmott,~A J., Mysak,~L A., and Morales~Maqueda,~M A.: Polynyas in a~high-resolution dynamic-thermodynamic sea ice model and their parameterization using flux models, Tellus, 53A, 245–265, \doi10.1034/j.1600-0870.2001.00113.x, 2001. </reference>
		<reference numeration="4" content_type="text"> Coon,~M D., Maykut,~G A., Pritchard,~R S., Rothrock,~D A., and Thorndike,~A S.: Modeling the pack ice as an elastic-plastic material, AIDJEX Bull., 24, 1–105, 1974. </reference>
		<reference numeration="5" content_type="text"> Dukowicz,~J.: Comments on \qutStability of the viscous-plastic sea ice rheology,~J. Phys. Oceanogr., 27, 480–481, \doi10.1034/j.1600-0870.2001.00113.x, 1997. </reference>
		<reference numeration="6" content_type="text"> Feltham,~D L.: Sea Ice Rheology, Annu. Rev. Fluid Mech., 40, 91–112, \doi10.1146/annurev.fluid.40.111406.102151, 2008. </reference>
		<reference numeration="7" content_type="text"> Harms,~I., Hübner,~U., Backhaus,~J O., Kulakov,~M., Stanovoy,~V., Stepanets,~O., Kodina,~L., and Schiltzer,~R.: Siberian River Runoff in the Kara Sea: Characterization, Quantification, Variability and Environmental Significance, Chap. Salt intrusions in Siberian river estuaries: Observations and model experiments in Ob and Yenisei, 27–46, No 6 in Proceedings in Marine Science, Elsevier, 2003. </reference>
		<reference numeration="8" content_type="text"> Heil,~P. and Hibler III,~W D.: Modelling the high-frequency components of Arctic Sea ice drift and deformation,~J. Phys. Oceanogr., 32, 3039–3057, \doi10.1175/1520-0485(2002)032&amp;lt;3039:MTHFCO&amp;gt;2.0.CO;2, 2002. </reference>
		<reference numeration="9" content_type="text"> Hibler, III,~W D.: A~dynamic thermodynamic sea ice model,~J. Phys. Oceanogr., 9, \doi10.1175/1520-0485(1979)009&amp;lt;0815:ADTSIM&amp;gt;2.0.CO;2, 1979. </reference>
		<reference numeration="10" content_type="text"> Hibler III,~W D. and Schulson,~E M.: On modeling the anisotropic failure and flow of flawed sea ice,~J. Geophys. Res., 105, 17105–17120, \doi10.1029/2000JC900045, 2000. </reference>
		<reference numeration="11" content_type="text"> Hibler III,~W D. and Walsh,~J E.: On modeling seasonal and interannual fluctuations of arctic sea ice,~J. Phys. Oceanogr., 12, 1514–1523, \doi10.1175/1520-0485(1982)012&amp;lt;1514:OMSAIF&amp;gt;2.0.CO;2, 1982. </reference>
		<reference numeration="12" content_type="text"> Idso,~S B. and Jackson,~R D.: Thermal radiation from the atmosphere,~J. Geophys. Res., 74, 5397–5403, \doi10.1029/JC074i023p05397, 1969. </reference>
		<reference numeration="13" content_type="text"> Lepparanta,~M. and Hibler III,~W.: The role of plastic ice interaction in marginal ice-zone dynamics,~J. Geophys. Res., 90, 1899–1909, \doi10.1029/JC090iC06p11899, 1985. </reference>
		<reference numeration="14" content_type="text"> Liu,~W T., Katsaros,~K B., and Businger,~J A.: Bulk parameterization of air-sea exchange of heat and water vapor including the molecular constraints at the interface,~J. Atmos. Sci., 36, 1722–1735, \doi10.1175/1520-0469(1979)036&amp;lt;1722:BPOASE&amp;gt;2.0.CO;2, 1979. </reference>
		<reference numeration="15" content_type="text"> Maykut,~G. and Perovich,~D.: The role of shortwave radiation in the summer decay of a~sea ice cover,~J. Geophys. Res., 92, 7032–7044, \doi10.1029/JC092iC07p07032, 1987. </reference>
		<reference numeration="16" content_type="text"> Maykut,~G A.: Large-scale heat exchange and ice production in the central Arctic,~J. Geophys. Res., 87, 7971–7984, \doi10.1029/JC087iC10p07971, 1982. </reference>
		<reference numeration="17" content_type="text"> Maykut,~G A. and McPhee,~M G.: Solar heating of the Arctic mixed layer,~J. Geophys. Res., 100, 24691–24703, 1995. </reference>
		<reference numeration="18" content_type="text"> McPhee,~M G.: Ice-ocean momentum transfer for the AIDJEX ice model, AIDJEX Bull., 29, 93–111, 1975. </reference>
		<reference numeration="19" content_type="text"> Mellor,~G L. and Kantha,~L.: An ice-ocean coupled model,~J. Geophys. Res., 94, 10937–10954, \doi10.1029/JC094iC08p10937, 1989. </reference>
		<reference numeration="20" content_type="text"> Ou,~H W.: A~time-dependent model of a~coastal polynya,~J. Phys. Oceanogr., 18, 584–590, \doi10.1175/1520-0485(1988)018&amp;lt;0584:ATDMOA&amp;gt;2.0.CO;2, 1988. </reference>
		<reference numeration="21" content_type="text"> Pease,~C H.: The size of wind driven polynyas,~J. Geophys. Res., 92, 7049–7059, \doi10.1029/JC092iC07p07049, 1987. </reference>
		<reference numeration="22" content_type="text"> Semtner,~A J.: Model for thermodynamic growth of sea ice in numerical investigations of climate,~J. Phys. Oceanogr., 6, 379–389, \doi10.1175/1520-0485(1976)006&amp;lt;0379:AMFTTG&amp;gt;2.0.CO;2, 1976. </reference>
		<reference numeration="23" content_type="text"> Smedsrud,~L. and Skogseth,~R.: Field measurements of Arctic grease ice properties and processes, Cold Reg. Sci. Technol., 44, 171–183, \doi10.1016/j.coldregions.2005.11.002, 2006. </reference>
		<reference numeration="24" content_type="text"> Smedsrud,~L H., Budgell,~W P., Jenkins,~A D., and Adlandsvik,~B.: Fine-scale sea-ice modelling of the Storfjorden polynya, Svalbard, Ann. Glaciol., 44, 73–79, 2006. </reference>
		<reference numeration="25" content_type="text"> Tremblay,~L.-B. and Hakakian,~M.: Estimating the sea ice compressive strength from satellite-derived sea ice drift and NCEP reanalysis data,~J. Phys. Oceanogr., 36, 2165–2172, \doi10.1175/JPO2954.1, 2006. </reference>
		<reference numeration="26" content_type="text"> Tremblay,~L.-B. and Mysak,~L A.: Modeling sea ice as a~granular material, including the dilatancy effect,~J. Phys. Oceanogr., 27, 2342–2360, \doi10.1175/1520-0485(1997)027&amp;lt;2342:MSIAAG&amp;gt;2.0.CO;2, 1997. </reference>
		<reference numeration="27" content_type="text"> Walkington,~I., Morales~Maqueda,~M A., and Willmott,~A J.: A~robust and computationally efficient model of a~two-dimensional coastal polynya, Ocean Model., 17, 140–152, \doi10.1016/j.ocemod.2006.12.001, 2007. </reference>
		<reference numeration="28" content_type="text"> Willmott,~A J., Morales~Maqueda,~M A., and Darby,~M S.: A~model for the influence of wind and oceanic currents on the size of a~steady state latent heat coastal polynya,~J. Phys. Oceanogr., 27, 2256–2275, \doi10.1175/1520-0485(1997)027&amp;lt;2256:AMFTIO&amp;gt;2.0.CO;2, 1997. </reference>
		<reference numeration="29" content_type="text"> Winsor,~P. and Björk,~G.: Polynya activity in the Arctic Ocean from 1958 to 1997,~J. Geophys. Res., 105, 8789–8803, \doi10.1029/1999JC900305, 2000. </reference>
	</references>
</article>

