Thanks for fast reply,

Do you have more examples of this procedure? Except point 5.5.3 from the manual? It would be great to have more examples.

Thank you in advance.

Respectfully,
Dariusz Kedzierski


Hi Dariusz, Thanks for your interest in FiPy. I would say that, in
general, one can incorporate these boundary conditions either as
changes in coefficient across material boundaries or as source terms
localized to cells close to the boundaries or a combination of the
two. You must deal with it in this way as FiPy doesn't have explicit
internal boundary conditions. Hope this helps.

2010/5/17 Dariusz Kędzierski<[email protected]>:

Dear fipy users and developers,

I'm beginning my adventure with computer modelling in FiPy (which is a great
software), and I have some questions considering a modelling of the
superlattice.

I have a paraelectric/ferroelectric (PE/FE) superlattice, consist of
ferroelectric and paraelectric layers. The aim of the simulation is to
calculate the polarization and electrostatic potential distribution versus
temperature.

Because I have different sets of equations for P and \phi in PE and FE I've
decided to make two meshes, one with FE layer and second with PE layer.

The problem I have is to incorporate boundary conditions. I have a boundary
conditions in a form (at the interface between FE and PE layers) {latex}:
\begin{eqnarray}
    \frac{\partial \phi^f}{\partial z} - \epsilon_p \frac{\partial
\phi^p}{\partial z}&  =&  4 \pi P, \label{pefe1}\\
    \phi^f&  =&  \phi^p, \label{pefe2}\\
    \frac{\partial P}{\partial z}&  =&  \lambda P \label{pefe3}
\end{eqnarray}

The question I would like to ask is: how to incorporate those conditions and
join these two meshes together.

Any help would be greatly appreciated.

Respectfully yours,
Dariusz Kedzierski







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