Full Stokes modeling of marine ice sheets: influence of the grid size

Abstract Using the finite-element code Elmer, we show that the full Stokes modeling of the ice-sheet/ice-shelf transition we propose can give consistent predictions of grounding-line migration. Like other marine ice-sheet models our approach is highly sensitive to the chosen mesh resolution. However, with a grid size down to <5 km in the vicinity of the grounding line, predictions start to be robust because: (1) whatever the grid size (<5 km) the steady-state grounding-line position is sensibly the same (6 km standard deviation), and (2) with a grid-size refinement in the vicinity of the grounding line (200 m), the steady-state solution is independent of the applied perturbation in fluidity, provided this perturbation remains monotonic.

[1]  T. Zwinger,et al.  Marine ice sheet dynamics: Hysteresis and neutral equilibrium , 2009 .

[2]  D. J. Wingham,et al.  Conditions for a steady ice sheet–ice shelf junction , 2008 .

[3]  C. Schoof Ice sheet grounding line dynamics: Steady states, stability, and hysteresis , 2007 .

[4]  P. Råback,et al.  Correction to “Finite‐element modeling of subglacial cavities and related friction law” , 2007 .

[5]  Christian Schoof,et al.  Marine ice-sheet dynamics. Part 1. The case of rapid sliding , 2007, Journal of Fluid Mechanics.

[6]  Christian Schoof,et al.  The effect of cavitation on glacier sliding , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[7]  Antony J. Payne,et al.  Assessing the ability of numerical ice sheet models to simulate grounding line migration , 2005 .

[8]  Catherine Ritz,et al.  Modeling the evolution of Antarctic ice sheet over the last 420,000 years: Implications for altitude changes in the Vostok region , 2001 .

[9]  C. Veen Response of a marine ice sheet to changes at the grounding line , 1985 .

[10]  R. Armstrong,et al.  The Physics of Glaciers , 1981 .

[11]  A. Wilchinsky,et al.  Modelling of a marine glacier and ice-sheet – ice shelf transition zone based on asymptotic analysis , 1996 .

[12]  R. Hindmarsh Stability of ice rises and uncoupled marine ice sheets , 1996, Annals of Glaciology.

[13]  V. Chugunov,et al.  Modelling of a marine glacier and ice-sheet-ice-shelf transition zone based on asymptotic analysis , 1996, Annals of Glaciology.

[14]  Renaud Lestringant A two-dimensional finite-element study of flow in the transition zone between an ice sheet and an ice shelf , 1994, Annals of Glaciology.

[15]  J. Weertman,et al.  Stability of the Junction of an Ice Sheet and an Ice Shelf , 1974, Journal of Glaciology.