Magnetodynamics with cohomology conditions

Here we represent and induction heating eddy current problem that utilizes the homology and cohomology solver of Gmsh.

Implementation

Indheat.geo: problem geometry and cohomology computation in Gmsh

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Direct link to file `Magnetodynamics/indeat.geo'

Indheat.pro: weak formulation in GetDP

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Direct link to file `Magnetodynamics/indeat.pro'

How to use

All the files (.geo and .pro) must be located in the same directory.

Meshing the domain and computing the cohomology

Go to the directory and then type:

gmsh indheat.geo -algo frontal3d -3

After the mesh is built, a file indheat.msh should have been created in the directory.

Solving the problem with GetDP

In a Terminal, type (in the right directory)

getdp indheat.pro -solve MagDynAVComplex -pos MagDynAV

Showing the result

Open the file "jTO.pos" with Gmsh by typing "gmsh jTO.pos" in a terminal in the right directory.

Result

Boundary mesh of the conducting regions. Current density in the conducting regions.