Hi, I have two questions.
I have a complicated set of 1D equations. The diffusion coefficient of the 1st is dependent on the derivative of the 2nd's variable, and the 2nd has a source term of the first. In addition, the initial condition of one of the variables is dependent on this diffusion coefficient. This is what I mean, in TeX: \alpha \frac{\partial \phi}{\partial t} = \frac{\partial}{\partial x} \left(D \frac{\partial \phi}{\partial x}\right) \\ \beta \frac{\partial \psi}{\partial t} = m \frac{\partial^2 \psi}{\partial x^2} + \delta\phi \\ D = \gamma \left(\frac{\partial \psi}{\partial x}\right)^{-1} \\ \phi_0 = \frac{1 + x}{D} alpha, beta, gamma, delta, and m are constants, and phi and psi are the Cell Variables. How can properly write and implement the diffusion coefficient D? So far, I've been trying to implement it by declaring D as a CellVariable, but as it's a diffusion function, it would seem natural to have it as a FaceVariable. The problem arises when I try to use it for the initial condition, as I cannot make phi_0 a function of D as a face variable. In addition, one of the boundary conditions is this (at x=0): \frac{\partial \psi^2}{\partial x^2} = 0 I've been implementing it as the following, but I am not sure if it works properly: psi.faceGrad.divergence.constrain(0.0, mesh.facesLeft) Thank you
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