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Phase field: calculation of the |grad f| div(grad f/|grad f|) term

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Old   November 2, 2011, 10:44
Default Phase field: calculation of the |grad f| div(grad f/|grad f|) term
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The equation i've to solve (Y.Sun,C. Beckermann, Sharp interface tracking using phase-field equation, Journal of computational physics) is:

df/dt+V*grad f=a*[ laplacian f+f*(1-f)/b-|grad f| div [ grad f/|grad f|]]
with a,b parameters (or constants).

how can I calculate the "|grad f| div(grad f/|grad f|) " term in an esplicit way in OF?

This is how I discretised the equation (except the term i'm talking about) neglecting, for the moment, the transport term:

fvScalarMatrix phaseEqn

f=phase and ophase is the old time step value of the field (i know i can use ddt directly but i need to perform some coupling later so i prefer to be "free" to discretise by myself the temporal derivative)

Thank you!

Last edited by Alucard; November 2, 2011 at 12:16.
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