Rmsm. Schulkes et al., A FINITE-ELEMENT TREATMENT OF SEA-ICE DYNAMICS FOR DIFFERENT ICE RHEOLOGIES, International journal for numerical and analytical methods in geomechanics, 22(3), 1998, pp. 153-174
In this paper the effects of four different rheologies on the evolutio
n of a large-scale sea ice pack are determined and compared. Two rheol
ogies are of viscous-plastic form, and two are viscous fluid relations
. The initial pack domain is rectangular, and the motion is driven by
wind stress and resisted by ocean drag. Two adjacent edges are rigid s
hore boundaries, and the other two are free boundaries at open water w
hich move during the pack motion, so that the pack domain changes in t
ime. Two different forms of boundary conditions at the rigid shore edg
es are considered, which also influence the evolution. The governing e
quations are solved numerically using a finite-element method, and, un
like previous numerical treatments, no artificial viscosity is incorpo
rated to stabilise the algorithm near interfaces between converging an
d diverging flow. Instability arises when any tensile stress is abrupt
ly cut-off when diverging flow is initiated, and an alternative view i
s offered. (C) 1998 John Wiley & Sons, Ltd.