Numerical simulation of the motion of a two-dimensional glacier

International Journal for Numerical Methods in Engineering

Volumn 60, Issue 5, 2004, Pages 995-1009

  Picasso, Marco ^a   Rappaz, Jacques ^a   Reist, Adrian ^a   Funk, Martin ^b   Blatter, Heinz ^c  

^a EPFL   (Switzerland)

^b ETH ZURICH   (Switzerland)

^c Land Climate Dynamics Group   (Switzerland)

Author keywords

Finite elements; Free surface; Glacier; Ice; Non Newtonian fluid

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; ICE; INCOMPRESSIBLE FLOW; NON NEWTONIAN LIQUIDS; PROBLEM SOLVING;

INCOMPRESSIBLE NON-NEWTONIAN FLUIDS; LAX-WENDROFF SCHEME; TRANSPORT EQUATION;

GLACIERS;

FINITE ELEMENT METHOD; GLACIER; INCOMPRESSIBLE FLOW; NON-NEWTONIAN FLUID; VELOCITY PROFILE;

EID: 2942519138     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.997     Document Type: Article

References (16)

1. Lliboutry L. Current trends in glaciology. Earth-Science Reviews 1970; 6(3):141-167.
2. Huybrechts P. Payne T. EISMINT Intercomparison Group. The EISMINT benchmarks for testing ice-sheet models. Annals of Glaciology 1997: 23:1-12.
3. Albrecht O, Jansson P, Blatter H. Modelling glacier response to measured mass balance forcing. Annals of Glaciology 2000; 31:91-96.
4. Huybrechts P. A 3-D model for the Antarctic ice sheet: a sensitivity study on the glacial-interglacial contrast. Climate Dynamics 1990; 5:79-92.
5. Greve R. A continuum-mechanical formulation for shallow polythermal ice sheets. Philosophical Transactions of the Royal Society of London, Series A 1997; 355:921-974.
6. Blatter H. Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients. Journal of Glaciology 1995: 41(138):333-344.
7. Colinge J, Blatter H. Stress and velocity fields in glaciers: Part I. Finite difference schemes for higher-order glacier models. Journal of Glaciology 1998; 44:448-456.
8. Pattyn F. Transient glacier response with a higher-order numerical ice-flow model. Journal of Glaciology 2002: 48(162):467-477.
9. Gudmundsson GH. A three-dimensional numerical model of the confluence area of unteraargletscher. Bernese Alps, Switzerland. Journal of Glaciology 1999; 45(150):219-230.
10. Colinge J, Rappaz J. A strongly nonlinear problem arising in glaciology. Mathematical Modelling and Numerical Analysis 1999; 33(2):395-406.
11. Vieli A. Funk M, Blatter H. Flow dynamics of tidewater glaciers: a numerical modelling approach. Journal of Glaciology 2001; 47(159):595-606.
12. Glowinsky R, Rappaz J. Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Mathematical Modelling and Numerical Analysis 2003; 37(1):175-186.
13. Funk M. Morelli R. Stahel W. Mass balance of Griesgletscher 1961-1994. Zeitschrift für Gletscherkunde and Glazialgeologie 1997; 33(1):41-55.
14. Donea J, Guiliani S. Halleux J-P. An arbitrary Lagrangian-eulerian finite-element method for transient dynamic fluid structure interactions. Computer Methods in Applied Mechanics and Engineering 1982; 33(1-3):689-723.
15. Farhat C, Lesoinne M, Maman N. Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution. International Journal for Numerical Methods at Fluids 1995; 21(10):807-835. (Finite element methods in large-scale computational fluid dynamics. Tokyo, 1994).
16. Farhat C, Geuzaine P. Grandmont C. The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids. Journal of Computational Physics 2001; 174(2):669-694.