Preprints
https://doi.org/10.5194/gmdd-7-1829-2014
https://doi.org/10.5194/gmdd-7-1829-2014

Submitted as: development and technical paper 18 Mar 2014

Submitted as: development and technical paper | 18 Mar 2014

Review status: this preprint was under review for the journal GMD. A revision for further review has not been submitted.

A linear algorithm for solving non-linear isothermal ice-shelf equations

A. Sargent1 and J. L. Fastook2 A. Sargent and J. L. Fastook
  • 1University of Maine, Department of Mathematics and Statistics, Orono, USA
  • 2University of Maine, Department of Computer Science, Orono, USA

Abstract. A linear non-iterative algorithm is suggested for solving nonlinear isothermal steady-state Morland–MacAyeal ice shelf equations. The idea of the algorithm is in replacing the problem of solving the non-linear second order differential equations for velocities with a system of linear first order differential equations for stresses. The resulting system of linear equations can be solved numerically with direct methods which are faster than iterative methods for solving corresponding non-linear equations. The suggested algorithm is applicable if the boundary conditions for stresses can be specified. The efficiency of the linear algorithm is demonstrated for one-dimensional and two-dimensional ice shelf equations by comparing the linear algorithm and the traditional iterative algorithm on derived manufactured solutions. The linear algorithm is shown to be as accurate as the traditional iterative algorithm but significantly faster. The method may be valuable as the way to increase the efficiency of complex ice sheet models a part of which requires solving the ice shelf model as well as to solve efficiently two-dimensional ice-shelf equations.

A. Sargent and J. L. Fastook

 
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

A. Sargent and J. L. Fastook

A. Sargent and J. L. Fastook

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