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

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(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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==A generic conservation equation==
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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.