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

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(A generic conservation equation)
(A generic conservation equation)
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<math>\frac{\partial \varphi }{\partial t}=-\nabla \cdot Q+S_{\varphi }</math>
 
<math>\frac{\partial \varphi }{\partial t}=-\nabla \cdot Q+S_{\varphi }</math>
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 +
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On the left-hand side we have the change in ''&phi;'' per unit time, which is given by the negative of the divergence (the
 +
<math>\nabla \cdot </math> operation) of the flux, ''Q'', plus any contribution from sources, <math>S_{\varphi }</math>.

Revision as of 10:18, 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 }


On the left-hand side we have the change in φ per unit time, which is given by the negative of the divergence (the \nabla \cdot operation) of the flux, Q, plus any contribution from sources, S_{\varphi }.