Stability of ice rises and uncoupled marine ice sheets

An analysis of the linear stability of marine ice sheets uncoupled from associated ice shelves is presented. The principal feature is a zero eigenvalue associated with infinitesimal shifts along the line of neutral equilibrium in phase space, termed the "equilibrium manifold". A finite-difference scheme is constructed which respects this stability property. The zero eigenvalue appears to allow modelling errors to accumulate rather than dissipate as occurs in land-based ice sheets. The practical significance of this is that even rather fine spatial grids may allow substantial numerical error to accumulate.

Details

Publication status:
Published
Author(s):
Authors: Hindmarsh, R.C.A.

On this site: Richard Hindmarsh, Richard Hindmarsh
Date:
1 January, 1996
Journal/Source:
Annals of Glaciology / 23
Page(s):
105-115