# Shallow-shelf approxmation

From Interactive System for Ice sheet Simulation

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.