# Difference between revisions of "Shallow-shelf approxmation"

From Interactive System for Ice sheet Simulation

(New page: The shallow shelf equations are given by <math>\begin{align} & \frac{\partial }{\partial x}\left( 2\bar{\eta }H\left( 2\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y} \righ...) |

## Latest revision as of 15:20, 30 July 2009

The shallow shelf equations are given by

,

where *u* and *v* are the depth-independent *x* and *y* components of velocity, is the depth-averaged effective viscosity, *H* is the ice thickness, ρ is the ice density, *g* is the acceleration due to gravity, and *s=s(x,y)* is the ice surface elevation.

Notice the symmetry in the equations. This means that, computationally, many of the same subroutines can be used for discretization.