Treatment of rounded and sharp corners in the numerical modeling of 2D electrostatic fields

Laurent Krähenbühl (1) , François Buret (1) , Patrick Dular (2) , Victor Péron (3) , Ronan Perrussel (1) , Clair Poignard (3, 4) , Damien Voyer (1)

1 AMPERE - Ampère
2 ACE - Applied and Computational Electromagnetics [Liège]
3 MC2 - Modélisation, contrôle et calcul
4 IMB - Institut de Mathématiques de Bordeaux

This work deals with numerical techniques to compute electrostatic fields in devices with rounded corners in 2D situations. The approach leads to the solution of two problems: one on the device where rounded corners are replaced by sharp corners and the other on an unbounded domain representing the shape of the rounded corner after an appropriate rescaling. Details are given on several ways to solve both problems and numerical results are provided to assess the efficiency and the accuracy of the techniques.

Mots clés: electrostatic; sharp corner; rounded corner; singularity; self similar

Domaines: Energie électrique

Laurent Krähenbühl, François Buret, Patrick Dular, Victor Péron, Ronan Perrussel, et al.. Treatment of rounded and sharp corners in the numerical modeling of 2D electrostatic fields. MOMAG, Aug 2010, Vitória, Brazil. à paraître. ⟨hal-00502238v3⟩