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

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(A generic conservation equation)
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==A generic conservation equation==
 
==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''
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Evolution of the ice sheet geometry is simply the result of mass conservation. Consider a generic conservation equation for some scalar value ''φ''
  
  
 
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<math>\frac{\partial \varphi }{\partial t}=-\nabla \cdot Q+S_{\varphi }</math>
Notes on mass continuity equation here and how it can be solved for HO models ...
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Advection schemes, simplest of which is 1st-order upwinding. Notes on why we call it "upwinding"
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Problems w/ upwinding schemes, especially 1st order ones (too diffusive, false diffusion, etc.)
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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.
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Revision as of 11:17, 5 August 2009

A generic conservation equation

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


\frac{\partial \varphi }{\partial t}=-\nabla \cdot Q+S_{\varphi }