Benchmark experiments for higher-order and full-Stokes ice sheet models (ISMIP-HOM)

We present the results of the first ice sheet model intercomparison project for higher-order and full-Stokes ice sheet models. These models are compared and verified in a series of six experiments of which one has an analytical solution obtained from a perturbation analysis. The experiments are applied to both 2-D and 3-D geometries; five experiments are steady-state diagnostic, and one has a time-dependent prognostic solution. All participating models give results that are in close agreement. A clear distinction can be made between higher-order models and those that solve the full system of equations. The full-Stokes models show a much smaller spread, hence are in better agreement with one another and with the analytical solution.

[1]  Douglas R. Macayeal,et al.  A tutorial on the use of control methods in ice-sheet modeling , 1993, Journal of Glaciology.

[2]  G. Gudmundsson,et al.  Transmission of basal variability to a glacier surface , 2003 .

[3]  Stephen F. Price,et al.  A full-stress, thermomechanical flow band model using the finite volume method , 2007 .

[4]  Frank Pattyn,et al.  Transient glacier response with a higher-order numerical ice-flow model , 2002 .

[5]  J. Rappaz,et al.  A strongly nonlinear problem arising in glaciology , 1999 .

[6]  M. L. Cuadrado,et al.  Three-dimensional modelling of the dynamics of Johnsons Glacier, Livingston Island, Antarctica , 2004, Annals of Glaciology.

[7]  M. Lange,et al.  Sensitivity studies on model modifications to assess the dynamics of a temperate ice cap, such as that on King George Island, Antarctica , 2006 .

[8]  F. Pattyn,et al.  Report of the Third EISMINT Workshop on Model Intercomparison , 1998 .

[9]  C. Veen,et al.  Force Budget: I. Theory and Numerical Methods , 1989, Journal of Glaciology.

[10]  Douglas R. Macayeal,et al.  Large‐scale ice flow over a viscous basal sediment: Theory and application to ice stream B, Antarctica , 1989 .

[11]  G. Gudmundsson,et al.  Numerical investigation of the effects of temporal variations in basal lubrication on englacial strain-rate distribution , 2003, Annals of Glaciology.

[12]  J. Staiger,et al.  Modeling long-term stability of the Ferrar Glacier, East Antarctica: Implications for interpreting cosmogenic nuclide inheritance , 2007 .

[13]  R. A. Silverman,et al.  The Mathematical Theory of Viscous Incompressible Flow , 1972 .

[14]  R. DeConto,et al.  A coupled ice-sheet/ice-shelf/sediment model applied to a marine-margin flowline: forced and unforced variations , 2009 .

[15]  R. Hindmarsh,et al.  A numerical comparison of approximations to the Stokes equations used in ice sheet and glacier modeling , 2004 .

[16]  R. Hindmarsh.  The role of membrane-like stresses in determining the stability and sensitivity of the Antarctic ice sheets: back pressure and grounding line motion , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[17]  A. Hubbard,et al.  Hydrological controls on diurnal ice flow variability in valley glaciers , 2005 .

[18]  Jacques Colinge,et al.  Stress and velocity fields in glaciers: Part II. Sliding and basal stress distribution , 1998 .

[19]  C. J. van der Veen,et al.  Force Budget: Numerical Methods and Application to Two-Dimensional Flow Along the Byrd Station Strain Network, West Antarctica (Abstract) , 1988, Annals of Glaciology.

[20]  A. Hubbard,et al.  Comparison of a three-dimensional model for glacier flow with field data from Haut Glacier d’Arolla, Switzerland , 1998, Journal of Glaciology.

[21]  F. Pattyn.  A new three-dimensional higher-order thermomechanical ice sheet model: Basic sensitivity, ice stream development, and ice flow across subglacial lakes , 2003 .

[22]  S. Price,et al.  Evidence for late Pleistocene thinning of Siple Dome, West Antarctica , 2007 .

[23]  Frank Pattyn,et al.  Investigating the stability of subglacial lakes with a full Stokes ice-sheet model , 2008, Journal of Glaciology.

[24]  Corinne Le Quéré,et al.  Climate Change 2013: The Physical Science Basis , 2013 .

[25]  Philippe Huybrechts,et al.  An ice-shelf model test based on the Ross Ice Shelf, Antarctica , 1996, Annals of Glaciology.

[26]  T. Zwinger,et al.  The ISMIP-HOM benchmark experiments performed using the Finite-Element code Elmer , 2008 .

[27]  G. Gudmundsson,et al.  On the relationship between surface and basal properties on glaciers, ice sheets, and ice streams , 2005 .

[28]  P. Huybrechts,et al.  The EISMINT benchmarks for testing ice-sheet models , 1996, Annals of Glaciology.

[29]  T. Shiraiwa,et al.  A full Stokes-flow thermo-mechanical model for firn and ice applied to the Gorshkov crater glacier, Kamchatka , 2007, Annals of Glaciology.

[30]  Shawn J. Marshall,et al.  Results from the EISMINT model intercomparison: the effects of thermomechanical coupling , 2000 .

[31]  H. Blatter.  Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients , 1995 .

[32]  G. Gudmundsson.  Analytical solutions for the surface response to small amplitude perturbations in boundary data in the shallow-ice-stream approximation , 2008 .