G. K. Karch, F. Sadlo, H. Songoro, E. Gjonaj, T. Weiland, T. Ertl:

Visualizing Edge-Conforming Discrete Field Quantities in Electromagnetic Field Problems with Interfaces

In Proceedings of ILASS Europe, 25th European Conference on Liquid Atomization and Spray Systems, 2013.


Finite element-based electromagnetic field simulation strongly benefits from using edge-conforming representations of the electric field. In this paper we address the visualization of discrete field data resulting from such simulations on 10-node quadratic tetrahedral grids. The use of higher-order grids enables, on the one hand, the accurate approximation of curved interfaces between electromagnetic materials, and on the other hand, it allows for a more accurate computation of derived quantities such as Coulomb forces and related surface tensions. However, a major drawback so far has been the lack of appropriate visualization techniques—common visualization systems do not support this type of data—necessitating a resampling step with all the involved drawbacks, including artifacts in the form of imposed continuity across material boundaries. We introduce a visualization framework implemented as a set of ParaView plugins that evaluates edge-conforming data by means of vector basis functions. Based on this framework we present different visualization approaches for the investigation of the electric field at material boundaries. We demonstrate their utility using electrohydrodynamics simulations of a water droplet on the surface of a high voltage insulator, representing a twophase flow problem driven by strong electric fields.

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