This paper presents a novel technique to perform the topological pre-processing needed in formulations based on an electric vector potential and a magnetic scalar potential when the eddy current problem being solved is subject to periodic boundary conditions (PBC). In this case, in fact, all the techniques to produce the generators for the first cohomology group introduced in literature cannot be used. The novel technique is very fast and it is used to model cables for power delivery.
T-Ω formulation for eddy current problems with periodic boundary conditions
BETTINI, PAOLO;BENATO, ROBERTO;DAMBONE SESSA, SEBASTIAN;SPECOGNA, RUBEN
2016
Abstract
This paper presents a novel technique to perform the topological pre-processing needed in formulations based on an electric vector potential and a magnetic scalar potential when the eddy current problem being solved is subject to periodic boundary conditions (PBC). In this case, in fact, all the techniques to produce the generators for the first cohomology group introduced in literature cannot be used. The novel technique is very fast and it is used to model cables for power delivery.
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