# Difference between revisions of "Solving the equation for thickness evolution"

From Interactive System for Ice sheet Simulation

(New page: Notes on mass continuity equation here and how it can be solved for HO models ... Advection schemes, simplest of which is 1st-order upwinding. Notes on why we call it "upwinding" Proble...) |
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+ | Evolution of the ice sheet geometry is a result of mass conservation. Consider a generic conservation equation for some scalar value ''φ'' | ||

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Notes on mass continuity equation here and how it can be solved for HO models ... | Notes on mass continuity equation here and how it can be solved for HO models ... |

## Revision as of 11:11, 5 August 2009

## A generic conservation equation

Evolution of the ice sheet geometry is a result of mass conservation. Consider a generic conservation equation for some scalar value *φ*

Notes on mass continuity equation here and how it can be solved for HO models ...

Advection schemes, simplest of which is 1st-order upwinding. Notes on why we call it "upwinding"

Problems w/ upwinding schemes, especially 1st order ones (too diffusive, false diffusion, etc.)

Discuss some "higher-order" upwinding schemes (e.g. incremental remapping, PPM), how/why they are better, and not that they are/will be implemented in future release of Glimmer/CISM.