Fipy/Surface Adsorption Equation

Info About Fipy's Surface Adsorption Equation Class

The Fipy documentation covers the level set method as applied to a surfactant equation:

http://www.ctcms.nist.gov/fipy/fipy/generated/models.levelSet.surfactant.html#fipy.models.levelSet.surfactant.surfactantEquation.SurfactantEquation

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

http://www.iue.tuwien.ac.at/phd/heitzinger/node97.html

http://en.wikipedia.org/wiki/Level_set_method