... | @@ -17,10 +17,20 @@ To run the models, open `indheat.pro` with Gmsh. |
... | @@ -17,10 +17,20 @@ To run the models, open `indheat.pro` with Gmsh. |
|
|
|
|
|
## Additional information
|
|
## Additional information
|
|
|
|
|
|
The example contains a 3D model of an induction heating device, using T-\Omega
|
|
The example contains a 3D model of an induction heating device, using T-Omega
|
|
and A-v formulations and the Gmsh cohomology solver. It also includes simple
|
|
and A-v formulations and the Gmsh cohomology solver. It also includes simple
|
|
thermal coupling.
|
|
thermal coupling.
|
|
|
|
|
|
|
|
The electromagnetic modeling aspects of the problem turn out to be subtle. The
|
|
|
|
so-called A-V formulation of the problem is straightforward to implement, but it
|
|
|
|
results in a large linear system that might be difficult to solve. In the
|
|
|
|
T−Omega formulation of the problem, the same accuracy is achieved with a smaller
|
|
|
|
linear system, but its implementation involves so-called thick-cuts, or source
|
|
|
|
fields, that aren't discussed much in the finite element curriculum and may be
|
|
|
|
difficult to produce. Here, we call them cohomology basis functions, and
|
|
|
|
generate them using the cohomology solver implemented in Gmsh. See [1] for the
|
|
|
|
details.
|
|
|
|
|
|
## References
|
|
## References
|
|
|
|
|
|
1. M. Pellikka, S. Suuriniemi, L. Kettunen and C. Geuzaine, "Homology and
|
|
1. M. Pellikka, S. Suuriniemi, L. Kettunen and C. Geuzaine, "Homology and
|
... | | ... | |