A new algorithm to simulate the dynamics of a glacier: Theory and applications

Journal of Glaciology

Volumn 54, Issue 188, 2008, Pages 801-811

  Jouvet, Guillaume ^a   Picasso, Marco ^a   Rappaz, Jacques ^a   Blatter, Heinz ^b  

^a EPFL   (Switzerland)

^b Land Climate Dynamics Group   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY ASSESSMENT; ALGORITHM; COMPUTER SIMULATION; EULERIAN ANALYSIS; FINITE ELEMENT METHOD; GLACIER DYNAMICS; GLACIER MASS BALANCE; LATE GLACIAL; NUMERICAL MODEL; STOKES FORMULA; THEORETICAL STUDY;

ALPS; CENTRAL EUROPE; EURASIA; EUROPE; GRAUBUNDEN; MURAGL GLACIER; SWISS PLATEAU; SWITZERLAND;

EID: 61349192262     PISSN: 00221430     EISSN: None     Source Type: Journal    
DOI: 10.3189/002214308787780049     Document Type: Article

References (30)

1. Albrecht, O., P. Jansson and H. Blatter. 2000. Modelling glacier response to measured mass-balance forcing. Ann. Claciol., 31, 91-96.
2. Bonito, A., M. Picasso and M. Laso. 2006. Numerical simulation of 3D viscoelastic flows with free surfaces. J. Comput. Phys., 215 (2), 691-716.
3. Cogley, J.G., W.P. Adams, M.A. Ecclestone, F Jung-Rothenhäusler and C.S.L. Ommanney. 1995. Mass balance of Axel Heiberg Island glaciers, 1960-1991: a reassessment and discussion. Saskatoon, Sask., Environment Canada. National Hydrology Research Institute. (NHRI Science Report 6.)
4. Cottet, G.-H. and P.D. Koumoutsakos. 2000. Vortex methods: theory and practice. Cambridge, etc., Cambridge University Press.
5. Deponti, A., V. Pennati, L. de Biase, V. Maggi and F. Berta. 2006. A new fully three-dimensional numerical model for ice dynamics. J. Glaciol., 52(178), 365-377.
6. Franca, L.P. and S.L. Frey. 1992. Stabilized finite element methods: II. The incompressible Navier-Stokes equations. Comput. Meth. Appl. Mech. Eng., 99(2-3), 253-276.
7. Gagliardini, O. and T. Zwinger. 2008. The ISMIP-HOM benchmark experiments performed using the Finite-Element code Elmer. Cryos. Discuss., 2(1), 75-109.
8. Glen, J.W. 1958. The flow law of ice: a discussion of the assumptions made in glacier theory, their experimental foundation and consequences. IASH Publ. 47 (Symposium at Chamonix 1958 - Physics of the Movement of the Ice), 171-183.
9. Gudmundsson, G.H. 1999. A three-dimensional numerical model of the confluence area of Unteraargletscher, Bernese Alps, Switzerland. J. Glaciol., 45(150), 219-230.
10. Hubbard, A., H. Blatter, P. Nienow, D. Mair and B. Hubbard. 1998. Comparison of a three-dimensional model for glacier flow with field data from Haut Glacier d'Arolla, Switzerland. J. Glaciol., 44(147), 368-378.
11. Huybrechts, P., T. Payne and the EISMINT Intercomparison Group. 1996. The EISMINT benchmarks for testing ice-sheet models. Ann. Glaciol., 23, 1-12.
12. Imbaumgarten, T. 2005. Kartierung und GIS-basierte Darstellung der Geomorphologie im Gebiet Val Bever/Val Saluver (GR) sowie Modellierung spät- und postglazialer Gletscherstünde in der Val Muragl (GR). (Diplomarbeit Universität Zürich.)
13. Ivy-Ochs, S., H. Kerschner and C. Schlüchter. 2007. Cosmogenic nuclides and the dating of Lateglacial and Early Holocene glacier variations: the Alpine perspective. Quat. Int., 164-165, 53-63.
14. Kuhn, M. 1981. Climate and glaciers. IAHS Publ. 131 (Symposium at Canberra 1979 - Sea Level, Ice and Climatic Change), 3-20.
15. Maisch, M. 1982. Zur Gletscher- und Klimageschichte des alpinen Spätglazials. Geogr. Helv., 37(2), 93-104.
16. Maronnier, V., M. Picasso and J. Rappaz. 2003. Numerical simulation of three-dimensional free surface flows. Int. J. Num. Meth. Fluids, 42(7), 697-716.
17. Martán, C., F.J. Navarro, J. Otero, M.L. Cuadrado and M.I. Corcuera. 2004. Three-dimensional modelling of the dynamics of Johnsons Glacier, Livingston Island, Antarctica. Ann. Glaciol., 39, 1-8.
18. Meier, M.F. 1958. Vertical profiles of velocity and the flow law of glacier ice. IASH Publ. 47 (Symposium at Chamonix 1958 - Physics of the Movement of the Ice), 169-170.
19. Nye, J.F. 1953. The flow law of ice from measurements in glacier tunnels, laboratory experiments and the jungfraufirn borehole experiment. Proc. R. Soc. London, Ser. A, 219(1139), 477-489.
20. Osher, S. and R. Fedkiw. 2001. Level set methods: an overview and some recent results. J. Comput. Phys., 69(2), 463-502.
21. Pattyn, F. 2003. A new three-dimensional higher-order thermomechanical ice-sheet model: basic sensitivity, ice stream development, and ice flow across subglacial lakes. J. Geophys. Res., 108(B8), 2382.
22. Picasso, M., J. Rappaz, A. Reist, M. Funk and H. Blatter. 2004. Numerical simulation of the motion of a two-dimensional glacier. Int. J. Num. Meth. Eng., 60(5), 995-1009.
23. Pironneau, O. 1989. Finite element methods for fluids. New York, John Wiley and Sons.
24. Pralong, A., M. Funk and M.P. Lüthi. 2003. A description of crevasse formation using continuum damage mechanics. Ann. Glaciol., 37, 77-82.
25. Reist, A. 2005. Mathematical analysis and numerical simulation of the motion of a glacier. (PhD thesis, Ecole Polytechnique Fédérale de Lausanne.)
26. Rothenbühler, C. 2000. Erfassung und Darstellung der Geomorphologie im Gebiet Bernina (GR) mit Hilfe von GIS. (MSc thesis, Universität Zürich.)
27. Saito, F., A. Abe-Ouchi and H. Blatter. 2006. European Ice Sheet Modelling Initiative (EISMINT) model intercomparison experiments with first-order mechanics. J. Geophys. Res., 111(F2), F02012. (10-1029/2004JF000273.)
28. Scarclovelli, R. and S. Zaleski. 1999. Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Ftuid Mech., 31, 567-603.
29. Stroeven, A.P. 1996. The robustness of one-dimensional, time-dependent, ice-flow models: a case study from Storglaciären, northern Sweden. Geogr. Ann., 78A(2-3), 133-146.
30. Zwinger, T., R. Greve, O. Gagliardini, T. Shiraiwa and M. Lyly. 2007. A full Stokes-flow thermo-mechanical model for firn and ice applied to the Gorshkov crater glacier, Kamchatka. Ann. Glaciol., 45, 29-37.