Fipy/Surface Adsorption Equation: Difference between revisions
From charlesreid1
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= | =Info About Fipy's Surface Adsorption Equation Class= | ||
The Fipy documentation covers the level set method as applied to a surfactant equation: | The Fipy documentation covers the level set method as applied to a surfactant equation: | ||
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\frac{d \theta}{dt} = k (1 - \theta) + S | \frac{d \theta}{dt} = k (1 - \theta) + S | ||
</math> | </math> | ||
The way that it is implemented in the surfactant equation class, as linked to above, is slightly different, in that the formulation is solving a steady-state version of the above equations, making the timestep irrelevant (which is why the timestep is hard-coded as 1.0). | |||
More information can be found in this email conversation, from the Fipy mailing list: [[Fipy/Surface Adsorption Equation/Email]] | |||
=Level Set Method= | =Level Set Method= | ||
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http://en.wikipedia.org/wiki/Level_set_method | http://en.wikipedia.org/wiki/Level_set_method | ||
[[Category:Python]] | |||
[[Category:Fipy]] | |||
Latest revision as of 23:38, 19 December 2013
Info About Fipy's Surface Adsorption Equation Class
The Fipy documentation covers the level set method as applied to a surfactant equation:
This is basically an ordinary differential equation consisting of the following:
$ \frac{d \theta}{dt} = k (1 - \theta) + S $
The way that it is implemented in the surfactant equation class, as linked to above, is slightly different, in that the formulation is solving a steady-state version of the above equations, making the timestep irrelevant (which is why the timestep is hard-coded as 1.0).
More information can be found in this email conversation, from the Fipy mailing list: Fipy/Surface Adsorption Equation/Email
Level Set Method
Some Links
http://math.mit.edu/classes/18.086/2007/levelsetpres.pdf