Preprints
https://doi.org/10.5194/gmdd-2-81-2009
https://doi.org/10.5194/gmdd-2-81-2009

  06 Feb 2009

06 Feb 2009

Review status: this preprint was under review for the journal GMD. A revision 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 T. J. Reerink et al.
  • 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.

T. J. Reerink et al.

 
Status: closed (peer review stopped)
Status: closed (peer review stopped)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement
 
Status: closed (peer review stopped)
Status: closed (peer review stopped)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement

T. J. Reerink et al.

T. J. Reerink et al.

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