# phase field interpolation

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 January 17, 2012, 12:52 phase field interpolation #1 Member   valerio Join Date: Jun 2009 Location: Nancy Posts: 30 Rep Power: 10 Goodmoring I'm working in the development of my mesoscopic solidification model. In few words I solve three coupled equations: 1 for the phase (phi) : d(phi)/dt+v_front*mag(grad(phi))=[lapl(phi)+phi*(1-phi)*(1-2*phi)-mag(grad(phi))*div[grad(phi)/mag(grad(phi))]] where phi=0 in the liquid phi=1 in the solid and varies as an hyperbolic arctg in between (the right hand side term imposes a fixed depth surface thickness) Results for a growing circle are shown below (just to have an idea of what I'm trying to do): Uploaded with ImageShack.us 2 i solve a diffusion equation for the solute : dCl/dt=lapl(Cl)+S 3. i couple with an entalpy equation: dH/dt=lapl(T) . My problem is to impose the v_front velocity cause it is function of a parameter omega=Cl(phi=0.9)-Cl(phi=0.5) in the interface phi ]0,1[ domain. WHAT I NEED: is to know the position of the isocontours 0.9 and 0.5 in the domain and to evaluate so omega. I can try to do it by bilinear interpolation by hands but I suppose (?) that perhaps there are some "tools" already developed in OpenFOAM (and that I don't find..). Can someone please help me or give me some ideas in order to do it in a proper way? Thank you

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