# Difference between revisions of "Kees' assignment"

From Interactive System for Ice sheet Simulation

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==Model equation== | ==Model equation== | ||

− | :<math>\frac{\partial H}{\partial t} = - \frac{\partial}{\partial x}\left( | + | :<math>\frac{\partial H}{\partial t} = - \frac{\partial}{\partial x}\left(D(x) \frac{\partial h}{\partial x}\right) + M</math> |

where | where |

## Revision as of 13:49, 5 August 2009

## Contents |

## Model equation

where

and

## Model parameters

- km/yr
- = 920
- g=9.8
- A = 1e-16
- n=3

## Boundary conditions

- (left boundary)

- (right boundary)

## Numerical tips

Use a staggered grid such that the are computed at the **centers** of the grid (as opposed to the vertices, as we have been doing), so

From the diffusivity, the flux is computed

- ,

where

and then the flux () can be used to compute the rate of change of the surface from