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Solving stationary heat equation (Laplace-Equation) with 2 regions and 2 different materials

Dirk Brömme
Posted 10 days ago

Hello together,

I want to solve the stationary heat equation in zylindrical coordinates for a solid consisting of 2 different regions with 2 different matarial parameters.

I have defined the two regions and generated the mesh. That looks fine.
I have also defined the boundary conditions.

The problem is the following:
I can solve the problem with NDSolveValue for a homogenious material lam1.
How can I additionally consider lam2 for the second region, so that the calculated temperature profile shows a "kink" at the boundary between the two regions???

Thanks in advance for every advice
Dirk
POSTED BY: Dirk Brömme
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Dirk Brömme
Dirk Brömme
Posted 10 days ago

What works is the following:

I assume that the function lam is a heaviside function, representing lam1 in region 1 and lam2 in region 2.Then I have to consider this in the PDE and it works. But I am sure this is not the most elegant approach. Any ideas to solve this problem in an easier way?

Attachments:
Solution_with_He...nb
POSTED BY: Dirk Brömme
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