Thank you for your answer Jonathan. oh Yes, the paper that I'm working on a simulation like that refers your article for this coordinate transformation!
Actually I didn't get your idea! you mean you just implemented equation (4) of your paper in FiPy using normal gradient operator?! (sorry if I'm asking elementary questions! I am beginner in FiPy) No,it's not! it assumes that the solvent evaporates uniformly from the top surface and film height decreases homogenously. > This sounds very much like a paper we worked on a few years ago: > > Saylor et al. Predicting microstructure development during casting of > drug-eluting coatings. Acta Biomater (2011) vol. 7 (2) pp. 604-613, > http://dx.doi.org/10.1016/j.actbio.2010.09.019 > > > As I recall, there is no need to define a new gradient operator in > practice, but rather you use FiPy to solve the transformed governing > equation in the transformed space with its existing gradient operator. > Wheeler might remember more of the details. > > If h_curr(t) is a function of position as well as time, I'd be strongly > inclined to impose an Allen-Cahn diffuse phase interface on top of your > Cahn-Hilliard problem to describe that moving interface. > > On Aug 18, 2014, at 7:53 AM, [email protected] wrote: > >> Dear FiPy developers, >> Actually I want to solve the Cahn-Hilliard equation for a >> multi-component, >> multi-phase flow. So, I am facing with a moving boundary problem. I am >> going to convert the problem to a fixed boundary one with a coordinate >> transformation. In this way, there is no need for remeshing. >> coordinate transformation: >> V = h/h_curr(t) >> gradient operator in the new coordinate system: >> NewGradOperator = e1(1/h_curr)(d/dV) + ei(d/dxi) >> where the first component is the direction along the height of the film. >> And use this NewGradOperator in Cahn-Hilliard equation instead of the >> normal grad operator. >> Is it possibile to do such coordinate transformation in FiPy? Any idea >> how >> to do that? >> >> Thanks a lot in advance. >> >> Regards, >> Hossein Sadeghi >> >> >> >> _______________________________________________ >> fipy mailing list >> [email protected] >> http://www.ctcms.nist.gov/fipy >> [ NIST internal ONLY: https://email.nist.gov/mailman/listinfo/fipy ] > > > _______________________________________________ > fipy mailing list > [email protected] > http://www.ctcms.nist.gov/fipy > [ NIST internal ONLY: https://email.nist.gov/mailman/listinfo/fipy ] > _______________________________________________ fipy mailing list [email protected] http://www.ctcms.nist.gov/fipy [ NIST internal ONLY: https://email.nist.gov/mailman/listinfo/fipy ]
