<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.the-cryosphere.net/inc/tc/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>The Cryosphere</journal_title>
		<journal_url>www.the-cryosphere.net</journal_url>
		<issn>1994-0416</issn>
		<eissn>1994-0424</eissn>
		<volume_number>3</volume_number>
		<issue_number>2</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/tc-3-217-2009</doi>
	<article_url>http://www.the-cryosphere.net/3/217/2009/</article_url>
	<abstract_html>http://www.the-cryosphere.net/3/217/2009/tc-3-217-2009.html</abstract_html>
	<fulltext_pdf>http://www.the-cryosphere.net/3/217/2009/tc-3-217-2009.pdf</fulltext_pdf>
	<start_page>217</start_page>
	<end_page>229</end_page>
	<publication_date>2009-11-19</publication_date>
	<article_title content_type="html">Diagnostic and prognostic simulations with a full Stokes model accounting for superimposed ice of Midtre Lovénbreen, Svalbard</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>T. Zwinger</name>
			<email>thomas.zwinger@csc.fi</email>
		</author>
		<author numeration="2" affiliations="2,3,4">
			<name>J. C. Moore</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">CSC – IT Center for Science Ltd., Espoo, Finland</affiliation>
		<affiliation numeration="2" content_type="html">Arctic Centre, University of Lapland, Rovaniemi, Finland</affiliation>
		<affiliation numeration="3" content_type="html">Thule Institute, University of Oulu, Oulu, Finland</affiliation>
		<affiliation numeration="4" content_type="html">College of Global Change and Earth System Science, Beijing Normal University, China</affiliation>
	</affiliations>
	<abstract content_type="html">We present steady state (diagnostic) and transient (prognostic)
simulations of Midtre Lovénbreen, Svalbard performed with the
thermo-mechanically coupled full-Stokes code Elmer. This glacier has
an extensive data set of geophysical measurements available spanning
several decades, that allow for constraints on model
descriptions. Consistent with this data set, we included a simple
model accounting for the formation of superimposed ice. Diagnostic
results indicated that a dynamic adaptation of the free surface is
necessary, to prevent non-physically high velocities in a region of
under determined bedrock depths.
Observations from ground penetrating radar of the basal thermal state agree
very well with model predictions, while the dip angles of isochrones in radar
data also match reasonably well with modelled isochrones, despite the numerical
deficiencies of estimating ages with a steady state model.
&lt;br&gt;&lt;br&gt;
Prognostic runs for 53 years,
using a constant accumulation/ablation pattern starting from the
steady state solution obtained from the configuration of the 1977 DEM
show that: 1 the unrealistic velocities in the under determined parts
of the DEM quickly damp out; 2 the free surface evolution matches well
measured elevation changes; 3 the retreat of the glacier under this
scenario continues with the glacier tongue in a projection to 2030
being situated ≈500 m behind the position in 1977.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Barrand, N E., Murray, T., James, T D., Barr, S L., and Mills, J P.: Optimising photogrammetric glacier DEMs for volume change assessment using laser-scanning derived ground control points, J. Glaciol., 55(189), 106–116, 2009. </reference>
		<reference numeration="2" content_type="text"> Björnsson, H., Gjessing, Y., Hamran, S.-E., Hagen, J O., Liestøl, O., Palsson, F., and Erlingsson, B: The thermal regime of sub-polar glaciers mapped by multi-frequency radio-echo sounding, J. Glaciol., 42(140), 23–32, 1996. </reference>
		<reference numeration="3" content_type="text"> Brezzi, F., Marini, L.D. and Süli, E.: Discontinuous Galerkin methods for first order hyperbolic problems, Math. Mod. Meth. Appl. Sci., 14, 1893–1903, 2004. </reference>
		<reference numeration="4" content_type="text"> Blatter, H.: Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients, J. Glaciol., 41(138), 333–344, 1995. </reference>
		<reference numeration="5" content_type="text"> Durand, G., Gagliardini, O., de Fleurian, B., Zwinger, T., and Le Meur, E.: Marine Ice-Sheet Dynamics: Hysteresis and Neutral Equilibrium, J. Geophys. Res., 114, F03009, doi:10.1029/2008JF001170, 2009. </reference>
		<reference numeration="6" content_type="text"> Eisen, O., Wilhelms, F., Nixdorf, U., and Miller, H.: Identifying isochrones in GPR profiles from DEP-based forward modelling, Ann. Glaciol., 37, 344–350, 2003. </reference>
		<reference numeration="7" content_type="text"> Franca, L.P., Frey, S.L., and Hughes, T.J.R.: Stabilized finite element methods: II The incompressible Navier-Stokes equations, Comp. Meths. Appl. Mech., 95, 253–276, 1992. </reference>
		<reference numeration="8" content_type="text"> Gagliardini, O., Cohen, D., R&amp;aring;back, P., and Zwinger, T.: Finite-element modeling of subglacial cavities and related friction law, J. Geophys. Res., 112, F0227, doi:10.1029/2006JF000576, 2006. </reference>
		<reference numeration="9" content_type="text"> Hagen, J O., Melvold, K., Pinglot, F., and Dowdeswell, J A.: On the net balance of the glaciers and ice caps in Svalbard, Norwegian Arctic, Arct. Antarct. Alp. Res., 35(2), 264–270, 2003. </reference>
		<reference numeration="10" content_type="text"> Hubbard, A W., Lawson, W., Anderson, B., Hubbard, B., and Blatter, H.: Evidence for subglacial ponding across Taylor Glacier, Dry Valleys, Antarctica, Ann. Glaciol., 39, 79–84, 2005. </reference>
		<reference numeration="11" content_type="text"> Kohler, J., Nordli, Ø., Brandt, O., Isaksson, E., Pohjola, V., Martma, T., and Aas, H. F.: Svalbard temperature and precipitation, late 19th century to the present. Final report on ACIA-funded project, Norwegian Polar Institute, Oslo, Norway, 2002. </reference>
		<reference numeration="12" content_type="text"> Kohler, J., James, T D., Murray, T., Nuth, C., Brandt, O., Barrand, N E., Aas, H F., and Luckman, A.: Acceleration in thinning rate on western Svalbard glaciers, Geophys. Res. Lett., 34, L18502, doi:10.1029/2007GL030681, 2007. </reference>
		<reference numeration="13" content_type="text"> Lefauconnier, B., Hagen, J O., Œrbæk, J B., Melvold, K., and Isaksson, E.: Glacier balance trends in the Kongsfjorden area, western Spitsbergen, Svalbard, in relation to the climate, Polar Res., 18(2), 307–313, 1999. </reference>
		<reference numeration="14" content_type="text"> Moore, J C., Pälli, A., Gadek, B., Jania, J., Ludwig, F., Mochnacki, D., Glowacki, P., Blatter, H., and Isaksson, E.: High Resolution Hydrothermal Structure of Hansbreen, Spitsbergen mapped by Ground Penetrating Radar, J. Glaciol., 45, 524–532, 1999. </reference>
		<reference numeration="15" content_type="text"> Pälli, A., Kohler, J., Isaksson, E., Moore, J C, Pinglot, J.-F., Pohjola, V., and Samuelsson, H.: Spatial and temporal variability of snow accumulation using ground-penetrating radar and ice cores on a Svalbard glacier, J. Glaciol., 48(162), 417–424, 2003. </reference>
		<reference numeration="16" content_type="text"> Paterson, W S B.: The physics of glaciers, 3rd edn., Elsevier, Oxford, 1994. </reference>
		<reference numeration="17" content_type="text"> Rees, W G. and Arnold, N S.: Mass balance and dynamics of a valley glacier measured by high-resolution LiDAR, Polar Rec., 43(227), 311–319, 2007. </reference>
		<reference numeration="18" content_type="text"> Rippin, D M.: The hydrology and dynamics of polythermal glaciers: Midre Lovénbreen, Svalbard, unpublished Ph.D. dissertation, University of Cambridge, 2001. </reference>
		<reference numeration="19" content_type="text"> Rippin, D., Willis, I., Arnold, N., Hodson, A., Moore, J., Kohler, J., and Björnsson, H.: Changes in geomety and subglacial drainage of Midre Lovénbreen, Svalbard, determined from digital elevation models, Earth Surf. Proc. Land., 28(3), 273–298, 2003. </reference>
		<reference numeration="20" content_type="text"> Sinisalo, A., Grinsted, A., Moore, J C., Meijer, H., and Martma, T.: Inferences from stable water isotopes on the Holocene evolution of Scharffenbergbotnen blue ice area, East Antarctica, J. Glaciol., 53(182), 427–433, 2007. </reference>
		<reference numeration="21" content_type="text"> Wadham, J L. and Nuttall, A.-M.: Multiphase formation of superimposed ice during a mass-balance year at a maritime high-Arctic glacier, J. Glaciol., 48(163), 545–551, 2002.  </reference>
		<reference numeration="22" content_type="text"> Wadham, J., Kohler, J., Hubbard, A., Nuttall, A.-M., and Rippin, D.: Superimposed ice regime of a high arctic glacier inferred using GPR, flow modelling, and ice-cores, J. Geophys. Res., 111, F01007, doi:10.1029/2004JF000144, 2006. </reference>
		<reference numeration="23" content_type="text"> Wright, A P., Wadham, J L., Siegert, M J., Luckman, A., and Kohler, J.: Modelling the Impact of Superimposed Ice on the Mass Balance of an Arctic Glacier under Scenarios of Future Climate Change, Ann. Glaciol., 42, 277–283, 2005. </reference>
		<reference numeration="24" content_type="text"> Wright, A P., Wadham, J L., Siegert, M J., Luckman, A., Kohler, J., and Nuttall, A M.: Modeling the refreezing of meltwater as superimposed ice on a high Arctic glacier: A comparison of approaches, J. Geophys. Res., 112, F04016, doi:10.1029/2007JF000818, 2007. </reference>
		<reference numeration="25" content_type="text"> Zwinger, T., Greve, R., Gagliardini, O., Shiraiwa, T., and Lyly, M.: A full Stokes-flow thermo-mechanical model for firn and ice applied to the Gorshkov crater glacier, Kamchatka, Ann. Glaciol., 45, 29–37, 2007. </reference>
	</references>
</article>

