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Numerical models for predicting future ice-mass loss of the Antarctic andGreenland ice sheet requires accurately representing their dynamics.Unfortunately, ice-sheet models suffer from a very strict time-step sizeconstraint, which for higher-order models constitutes a severe bottleneck sincein each time step a nonlinear and computationally demanding system of equationshas to be solved.  In this study, stable time-step sizes are increased for a full-Stokes modelby implementing a so-called free-surface stabilization algorithm (FSSA).Previously this stabilization has been used successfully in mantle-convectionsimulations where a similar, but linear, viscous-flow problem is solved.  By numerical investigation it is demonstrated that instabilities on the verythin domains required for ice-sheet modeling behave differently than on theequal-aspect-ratio domains the stabilization has previously been used on.Despite this, and despite the nonlinearity of the problem, it is shown that itis possible to adapt FSSA to work on idealized ice-sheet domains and increasestable time-step sizes by at least one order of magnitude. The FSSA presentedis deemed accurate, efficient and straightforward to implement into existingice-sheet solvers.

Increasing stable time-step sizes of the free-surface problem arising in ice-sheet simulations