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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
doi:10.5194/gmdd-2-81-2009
© Author(s) 2009. This work is distributed
under the Creative Commons Attribution 3.0 License.
 
06 Feb 2009
Review status
A revision of this discussion paper for further review has not been submitted.
Derivation of a numerical solution of the 3D coupled velocity field for an ice sheet – ice shelf system, incorporating both full and approximate stress solutions
T. J. Reerink, R. S. W. van de Wal, and P.-P. Borsboom Institute for Marine and Atmospheric Research Utrecht, Utrecht University, The Netherlands
Abstract. To overcome the mechanical coupling of an ice sheet with an ice shelf, one single set of velocity equations is presented covering both the sheet and the shelf. This set is obtained by applying shared sheet-shelf approximations. The hydrostatic approximation and a constant density are the only approximations that are applied to the full-Stokes momentum equations. The remaining stress terms from the momentum equations and the stress terms from the usual ice-flow law are multiplied by coefficients which can be put to zero or one, facilitating several stress approximations per domain within one model. In addition we derived a matrix format for the discretized set of the fully coupled velocity equations on a three-dimensional vertically scaled grid, in which all linear derivative terms are treated implicitly. The compact vector format of this sparse matrix equation is developed, including the boundary conditions.

Citation: Reerink, T. J., van de Wal, R. S. W., and Borsboom, P.-P.: Derivation of a numerical solution of the 3D coupled velocity field for an ice sheet – ice shelf system, incorporating both full and approximate stress solutions, Geosci. Model Dev. Discuss., 2, 81-158, doi:10.5194/gmdd-2-81-2009, 2009.
T. J. Reerink et al.
Interactive discussionStatus: closed (peer review stopped)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version      Supplement - Supplement
 
RC S17: 'Review', Anonymous Referee #3, 06 Mar 2009 Printer-friendly Version 
 
RC S29: 'Promising approach, but premature', Anonymous Referee #1, 08 Apr 2009 Printer-friendly Version 
 
EC S32: 'Final Response', Julia Hargreaves, 13 Apr 2009 Printer-friendly Version 
 
AC S64: 'author reponse', Thomas Reerink, 04 Jun 2009 Printer-friendly Version 
EC S67: 'Final Decision', Julia Hargreaves, 05 Jun 2009 Printer-friendly Version 
T. J. Reerink et al.
T. J. Reerink et al.

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