<?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>6</volume_number>
		<issue_number>1</issue_number>
		<publication_year>2012</publication_year>
	</journal>
	<doi>10.5194/tcd-6-267-2012</doi>
	<article_url>http://www.the-cryosphere-discuss.net/6/267/2012/</article_url>
	<abstract_html>http://www.the-cryosphere-discuss.net/6/267/2012/tcd-6-267-2012.html</abstract_html>
	<fulltext_pdf>http://www.the-cryosphere-discuss.net/6/267/2012/tcd-6-267-2012.pdf</fulltext_pdf>
	<start_page>267</start_page>
	<end_page>308</end_page>
	<publication_date>2012-01-24</publication_date>
	<article_title content_type="html">Results of the Marine Ice Sheet Model Intercomparison Project, MISMIP</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>F. Pattyn</name>
			<email>fpattyn@ulb.ac.be</email>
		</author>
		<author numeration="2" affiliations="2">
			<name>C. Schoof</name>
		</author>
		<author numeration="3" affiliations="1">
			<name>L. Perichon</name>
		</author>
		<author numeration="4" affiliations="3">
			<name>R. C. A. Hindmarsh</name>
		</author>
		<author numeration="5" affiliations="4">
			<name>E. Bueler</name>
		</author>
		<author numeration="6" affiliations="5">
			<name>B. de Fleurian</name>
		</author>
		<author numeration="7" affiliations="5">
			<name>G. Durand</name>
		</author>
		<author numeration="8" affiliations="5">
			<name>O. Gagliardini</name>
		</author>
		<author numeration="9" affiliations="6">
			<name>R. Gladstone</name>
		</author>
		<author numeration="10" affiliations="7">
			<name>D. Goldberg</name>
		</author>
		<author numeration="11" affiliations="3">
			<name>G. H. Gudmundsson</name>
		</author>
		<author numeration="12" affiliations="6">
			<name>V. Lee</name>
		</author>
		<author numeration="13" affiliations="1">
			<name>F. M. Nick</name>
		</author>
		<author numeration="14" affiliations="6">
			<name>A. J. Payne</name>
		</author>
		<author numeration="15" affiliations="8">
			<name>D. Pollard</name>
		</author>
		<author numeration="16" affiliations="9">
			<name>O. Rybak</name>
		</author>
		<author numeration="17" affiliations="10">
			<name>F. Saito</name>
		</author>
		<author numeration="18" affiliations="11">
			<name>A. Vieli</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Laboratoire de Glaciologie, Université Libre de Bruxelles, CP160/03, Av. F. Roosevelt 50, 1050 Brussels, Belgium</affiliation>
		<affiliation numeration="2" content_type="html">Department of Earth and Ocean Sciences, University of British Columbia, 6339 Stores Road, Vancouver, BC V6T 1Z4, Canada</affiliation>
		<affiliation numeration="3" content_type="html">Physical Science Division, British Antarctic Survey, Natural Environment Research Council, High Cross, Madingley Road, Cambridge CB3 0ET, UK</affiliation>
		<affiliation numeration="4" content_type="html">Department of Mathematics and Geophysical Institute, University of Alaska, Fairbanks, USA</affiliation>
		<affiliation numeration="5" content_type="html">Laboratoire de Glaciologie et de Géophysique de l&apos;Environnement (LGGE), CNRS, UJF-Grenoble I, BP 96, 38402 Saint Martin d&apos;Hères Cedex, France</affiliation>
		<affiliation numeration="6" content_type="html">Bristol Glaciology Centre, School of Geographical Sciences, University Road, University of Bristol, Bristol BS8 1SS, UK</affiliation>
		<affiliation numeration="7" content_type="html">Courant Institute of Mathematical Sciences, New York University, New York, USA</affiliation>
		<affiliation numeration="8" content_type="html">Earth and Environmental Systems Institute, College of Earth and Mineral Sciences, 2217 Earth-Engineering Sciences Bldg., Pennsylvania State University, University Park, PA 16802, USA</affiliation>
		<affiliation numeration="9" content_type="html">Earth System Sciences &amp; Department of Geography, Vrije Universiteit Brussel,  Pleinlaan 2, B-1050 Brussels, Belgium</affiliation>
		<affiliation numeration="10" content_type="html">Frontier Research Center for Global Change, 3173-25 Showamachi, Kanazawa-ku,  Yokohama City, Kanagawa 236-0001, Japan</affiliation>
		<affiliation numeration="11" content_type="html">Department of Geography, Durham University, Durham, UK</affiliation>
	</affiliations>
	<abstract content_type="html">Predictions of marine ice-sheet behaviour require models that are able
      to robustly simulate grounding line migration. We present results of
      an intercomparison exercise for marine ice-sheet models. Verification
      is effected by comparison with approximate analytical solutions for
      flux across the grounding line using simplified geometrical
      configurations (no lateral variations, no effects of lateral
      buttressing). Unique steady-state grounding line positions exist for
      ice sheets on a downward sloping bed, while hysteresis occurs across
      an overdeepened bed, and stable steady state grounding line positions
      only occur on the downward-sloping sections. Models based on the
      shallow ice approximation, which does not resolve extensional
      stresses, do not reproduce the approximate analytical results unless
      appropriate parameterizations for ice flux are imposed at the
      grounding line. For extensional-stress resolving &quot;shelfy stream&quot;
      models, differences between model results were mainly due to the
      choice of spatial discretization. Moving grid methods were found to be
      the most accurate at capturing grounding line evolution, since they
      track the grounding line explicitly. Adaptive mesh refinement can
      further improve accuracy, including in fixed-grid models that
      generally perform poorly at coarse resolution. Fixed grid models with
      nested grid representations of the grounding line are able to generate
      accurate steady-state positions, but can be inaccurate over
      transients. Only one full Stokes model was included in the
      intercomparison, and consequently the accuracy of shelfy stream models
      as approximations of full Stokes models remains to be determined in
      detail, especially during transients.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Baral,~D R., Hutter,~K., and Greve,~R.: Asymptotic theories of large-scale motion, temperature, and moisture distribution in land-based polythermal ice sheets: a~critical review and new developments, Appl. Mech. Rev., 54, 215–256, 2001. </reference>
		<reference numeration="2" content_type="text"> Blatter,~H.: Velocity and stress fields in grounded glaciers: a~simple algorithm for including deviatoric stress gradients, J. Glaciol., 41, 333–344, 1995. </reference>
		<reference numeration="3" content_type="text"> Bueler,~E. and Brown,~J.: Shallow shelf approximation as a \qutsliding law in a~thermomechanically coupled ice sheet model, J. Geophys. Res., 114, F03008, http://dx.doi.org/10.1029/2008JF001doi:10.1029/2008JF001,179, 2009. </reference>
		<reference numeration="4" content_type="text"> Chugunov,~V. and Wilchinsky,~A.: Modelling of marine glacier and ice-sheet-ice-shelf transition zone based on asymptotic analysis, Ann. Glaciol., 23, 59–67, 1996. </reference>
		<reference numeration="5" content_type="text"> Docquier,~D., Perichon,~L., and Pattyn,~F.: Representing grounding line dynamics in numerical ice sheet models: recent advances and outlook, Surv. Geophys., 32, 417–435, doi:10.1007/s10 712–011–9133–3, 2011. </reference>
		<reference numeration="6" content_type="text"> Durand,~G., Gagliardini,~O., de~Fleurian,~B., Zwinger,~T., and Meur,~E L.: Marine ice sheet dynamics: hysteresis and neutral equlibrium, J. Geophys. Res., 114, F03009, http://dx.doi.org/10.1029/2008JF001doi:10.1029/2008JF001,170, 2009a. </reference>
		<reference numeration="7" content_type="text"> Durand,~G., Zwinger,~T., Meur,~E L., and Hindmarsh,~R C A.: Full Stokes modeling of marince ice sheets: influence of the grid size, Ann. Glaciol., 50, 109–114, 2009b. </reference>
		<reference numeration="8" content_type="text"> Gagliardini,~O., Cohen,~D., Raback,~P., and Zwinger,~T.: Finite-element modeling of subglacial cavities and related friction law, J. Geophys. Res., 112, F02027, http://dx.doi.org/10.1029/2006JF000576doi:10.1029/2006JF000576, 2007. </reference>
		<reference numeration="9" content_type="text"> Gladstone,~R M., Lee,~V., Vieli,~A., and Payne,~A J.: Grounding line migration in an adaptive mesh ice sheet model, J. Geophys. Res., 115, F04014, http://dx.doi.org/10.1029/2009JF001615doi:10.1029/2009JF001615, 2010a. </reference>
		<reference numeration="10" content_type="text"> Gladstone,~R M., Payne,~A J., and Cornford,~S L.: Parameterising the grounding line in flow-line ice sheet models, The Cryosphere, 4, 605–619, http://dx.doi.org/10.5194/tc-4-605-2010doi:10.5194/tc-4-605-2010, 2010b. %%ok </reference>
		<reference numeration="11" content_type="text"> Goldberg,~D., Holland,~D M., and Schoof,~C.: Grounding line movement and ice shelf buttressing in marine ice sheets, J. Geophys. Res., 114, F04026, http://dx.doi.org/10.1029/2008JF001227doi:10.1029/2008JF001227, 2009. </reference>
		<reference numeration="12" content_type="text"> Hindmarsh,~R C A.: Qualitative dynamics of marine ice sheets, in: Ice in the Climate System, edited by: Peltier,~W., NATO ASI Series I (12), Berlin, Springer–Verlag, 67–99, 1993. </reference>
		<reference numeration="13" content_type="text"> Hindmarsh,~R C A.: A~Numerical Comparison of approximations to the Stokes equations used in ice sheet and glacier modeling, J. Geophys. Res, 109, F01012, http://dx.doi.org/10.1029/2003JF000065doi:10.1029/2003JF000065, 2004. </reference>
		<reference numeration="14" content_type="text"> Hindmarsh,~R C A.: The role of membrane-like stresses in determining the stability and sensitivity of the antarctic ice sheets: back pressure and grounding line motion, Philos. T. Roy. Soc. A, 364, 1733–1767, 2006. </reference>
		<reference numeration="15" content_type="text"> Hindmarsh,~R C A. and Le Meur,~E.: Dynamical processes involved in the retreat of marine ice sheets, J. Glaciol., 47, 271–282, 2001. </reference>
		<reference numeration="16" content_type="text"> Hutter,~K.: Theoretical Glaciology, Dordrecht, Kluwer Academic Publishers, 1983. </reference>
		<reference numeration="17" content_type="text"> Huybrechts,~P.: A~3-D model for the Antarctic ice sheet: a~sensitivity study on the glacial-interglacial contrast, Climate Dynam., 5, 79–92, 1990. </reference>
		<reference numeration="18" content_type="text"> Huybrechts,~P., Abe-Ouchi,~A., Marsiat,~I., Pattyn,~F., Payne,~A., Ritz,~C., and Rommelaere,~V.: Report of the Third EISMINT Workshop on Model Intercomparison, European Science Foundation, Strasbourg, 1998. </reference>
		<reference numeration="19" content_type="text"> IPCC: Workshop Report of the Intergovernmental Panel on Climate Change Workshop on Sea Level Rise and Ice Sheet Instabilities, in: IPCC Working Group~I Technical Support Unit, edited by: Stocker,~T F., Qin,~D., Plattner,~G K., Tignor,~M., and Midley,~P M., p 227, University of Bern, Bern, Swizerland, 2010. </reference>
		<reference numeration="20" content_type="text"> MacAyeal,~D R.: Large-scale ice flow over a~viscous basal sediment: theory and application to ice stream B, Antarctica, J. Geophys. Res, 94, 4071–4087, 1989. </reference>
		<reference numeration="21" content_type="text"> Muszynski,~I. and Birchfield,~G.: A~coupled marine ice-stream – ice shelf model, J. Glaciol., 33, 3–15, 1987. </reference>
		<reference numeration="22" content_type="text"> Nick,~F M., Vieli,~A., Howat,~I M., and Joughin,~I.: Large-scale changes in greenland outlet glacier dynamics triggered at the terminus, Nat. Geosci., 2, 110–114, 2009. </reference>
		<reference numeration="23" content_type="text"> Nowicki,~S M J. and Wingham,~D J.: Conditions for a~steady ice sheet – ice shelf junction, Earth. Planet. Sc. Lett., 265, 246–255, 2008. </reference>
		<reference numeration="24" content_type="text"> Pattyn,~F.: A~new 3D higher-order thermomechanical ice-sheet model: basic sensitivity, ice-stream development and ice flow across subglacial lakes, J. Geophys. Res., 108, 2382, http://dx.doi.org/10.1029/2002JB002329doi:10.1029/2002JB002329, 2003. </reference>
		<reference numeration="25" content_type="text"> Pattyn,~F., Huyghe,~A., De Brabander,~S., and De Smedt,~B.: Role of transition zones in marine ice sheet dynamics, J. Geophys. Res., 111, F02004, http://dx.doi.org/10.1029/2005JF000394doi:10.1029/2005JF000394, 2006. </reference>
		<reference numeration="26" content_type="text"> Pattyn,~F., Perichon,~L., Aschwanden,~A., Breuer,~B., de Smedt,~B., Gagliardini,~O., Gudmundsson,~G H., Hindmarsh,~R C A., Hubbard,~A., Johnson,~J V., Kleiner,~T., Konovalov,~Y., Martin,~C., Payne,~A J., Pollard,~D., Price,~S., Rückamp,~M., Saito,~F., Soucek,~O., Sugiyama,~S., and Zwinger,~T.: Benchmark experiments for higher-order and full-Stokes ice sheet models (ISMIP–HOM), The Cryosphere, 2, 95–108, http://dx.doi.org/10.5194/tc-2-95-2008doi:10.5194/tc-2-95-2008, 2008. %%ok </reference>
		<reference numeration="27" content_type="text"> Pollard,~D. and DeConto,~R M.: Modelling West Antarctic ice sheet growth and collapse through the past five million years, Nature, 458, 329–332, http://dx.doi.org/10.1038/nature07809doi:10.1038/nature07809, 2009. </reference>
		<reference numeration="28" content_type="text"> Ritz,~C., Rommelaere,~V., and Dumas,~C.: Modeling the evolution of the Antarctic ice sheet over the last 420 000 years: implications for altitude changes in the Vostok Region, J. Geophys. Res., 106, 31943–31964, 2001. </reference>
		<reference numeration="29" content_type="text"> Saito,~F., Abe-Ouchi,~A., and Blatter,~H.: Effects of the first order stress gradients to an ice sheet evaluated by a~three-dimensional thermo-mechanical coupled model, Ann. Glaciol., 37(1), 166–172, 2003. </reference>
		<reference numeration="30" content_type="text"> Schoof,~C.: The effect of cavitation on glacier sliding, P. R. Soc. Lond. A, 461, 609–627, http://dx.doi.org/10.1098/rspa.2004.1350doi:10.1098/rspa.2004.1350, 2005. </reference>
		<reference numeration="31" content_type="text"> Schoof,~C.: Ice sheet grounding line dynamics: steady states, stability and hysteresis, J. Geophys. Res., 112, F03S28, http://dx.doi.org/10.1029/2006JF000doi:10.1029/2006JF000,664, 2007a. </reference>
		<reference numeration="32" content_type="text"> Schoof,~C.: Marine ice sheet dynamics. Part I. The case of rapid sliding, J. Fluid Mech., 573, 27–55, 2007b. </reference>
		<reference numeration="33" content_type="text"> Schoof,~C.: Marine ice sheet dynamics. Part 2. A~Stokes flow contact problem, J. Fluid Mech., 679, 122–155, 2011. </reference>
		<reference numeration="34" content_type="text"> Schoof,~C. and Hindmarsh,~R.: Thin-film flows with wall slip: an asymptotic analysis of higher order glacier flow models, Q. J. Mech. Appl. Math., 63, 73–114, 2010. </reference>
		<reference numeration="35" content_type="text"> Stokes,~G.: On the theories of internal friction of fluids in motion, Transactions of the Cambridge Philosophical Society, 8, 287–305, 1845. </reference>
		<reference numeration="36" content_type="text"> Thomas,~R H. and Bentley,~C R.: A~model for holocene retreat of the West Antarctic ice sheet, Quaternary Res., 10, 150–170, 1978. </reference>
		<reference numeration="37" content_type="text"> Vieli,~A. and Payne,~A.: Assessing the ability of numerical ice sheet models to simulate grounding line migration, J. Geophys. Res., 110, F01003, http://dx.doi.org/10.1029/2004JF000202doi:10.1029/2004JF000202, 2005. </reference>
		<reference numeration="38" content_type="text"> Weertman,~J.: Stability of the junction of an ice sheet and an ice shelf, J. Glaciol., 13, 3–11, 1974. </reference>
	</references>
</article>

