TY - JOUR
T1 - Numerical Solution of a Transient Three-Dimensional Eddy Current Model with Moving Conductors
AU - Bermúdez , Alfredo
AU - López-Rodríguez , Bibiana
AU - Rodríguez , Rodolfo
AU - Salgado , Pilar
JO - International Journal of Numerical Analysis and Modeling
VL - 5
SP - 695
EP - 717
PY - 2019
DA - 2019/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/13249.html
KW - Eddy current problems, transient electromagnetic problems, moving domains, edge finite elements, penalty formulation.
AB - <p style="text-align: justify;">The aim of this paper is to propose and analyze a numerical method to solve a time-dependent eddy current problem in a domain containing moving non magnetic conductors. To this
end, we choose a formulation in terms of the magnetic field, what leads to a parabolic problem
for which we prove an existence result. For space discretization, we propose a finite element
method based on Nédélec edge elements on a mesh that remains fixed over the time. The curl-free
constraint in the dielectric domain is relaxed by means of a penalty strategy that can be easily
implemented, without the need that the mesh fits the moving conducting and dielectric domains.
For time discretization, we use a backward Euler scheme. We report some numerical results.
First, we solve a test problem with a known analytical solution, which allows us to assess the
convergence of the method as the penalization and discretization parameters go to zero. Finally,
we solve a problem with cylindrical symmetry, which allows us to compare the results with those
obtained with an axisymmetric code.</p>