Re: An interesting phase field example?

[Zhiheng Huang]

Hi Daniel, There are N phases in this binary system, i.e. liquid Sn, solid copper, and N-2 IMC grains.  As far as I understand, this paper considers Sn diffusion only, so I think "c" on the left side of equation 11 should be "c_i", which stands for the mole fraction of Sn in phase i.  I do not know whether this answers your question? B.T.W.: Could you please have a look of Question 2 in my email sent on 07/04/2006.  The following is the communication with Dr. Guyer at that time. (1) With respect to my question (2), as far as I understand, you said dbdpsi=d(beta)/d(psi).  However, referring to page 65, A=alpha**2*c*(1+c*beta)*[d(Phi)/d(psi)], and the program on page 66, A=alpha**2*c*(1+c*beta)*dbdpsi, I suspect that dbdpsi=[d(Phi)/d(psi)], but I can not see that [d(Phi)/d(psi)]=-N*2*Phi/(1+PhiSq). I see your point and I don't know. Dan Wheeler coded up that example and he's out for a week or so. Other than that, I have greater faith in the code than I do in the math printed there. Thanks and regards, Zhiheng huang On 20/04/2006 15:33 Daniel Wheeler wrote the following: At first glance, Equations 11 and 14 seem to be under-determined. Equation 14 provides N phase field equations for each of the $\phi_i$, yet, Equation 11 provides only one equation for all the $c_i$. Does this make sense? On Apr 20, 2006, at 7:43 AM, hzhatlboro wrote: Hello I have played with FiPy for a couple of weeks but still have no confidence to handle this "complex" problem in the attached paper.  I am interested in this paper is because this is the only paper that I have found so far using phase field method to study the interfacial microstructure.  I am wondering if anyone has any interest to implement the coupled equations, i.e. equations 11 and 14, in the paper using FiPy?  I would be more than happy if someone could shed some light onto this problem or discuss further with respect to this example. Thanks and regards, Zhiheng Huang <JYHuh.pdf> ------------------------------------- Daniel Wheeler Telephone: (301) 975-8358