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1 vote
0 answers
42 views

How can I apply a mixed boundary condition to a multi-material heat transfer problem using Crank-Nicolson?

I am working on a mixed material model for a melting material and need to enforce both a Dirichlet and Neumann type condition at the interface. Subject to an external surface heat flux at the top of ...
ZebraEagle's user avatar
6 votes
2 answers
389 views

Is the diffusion equation with Neumann and Dirichlet BCs well-posed?

I am considering the following diffusion equation: $$\frac{\partial f}{\partial t} = \frac{\partial}{\partial x}[D(x,t)\frac{\partial f}{\partial x}]$$ over a grid ...
R Thompson's user avatar