Higher-Order Visualization

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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.

Abstract

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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Publications

2017
Reviewed Journal Papers
F. Hempert, S. Boblest, T. Ertl, F. Sadlo, P. Offenhäuser, C. W. Glass, M. Hoffmann, A. Beck, C.-D. Munz, U. Iben:
Simulation of Real Gas Effects in Supersonic Methane Jets Using a Tabulated Equation of State with a Discontinuous Galerkin Spectral Element Method
Computers & Fluids, vol. 145, pp. 167–179, 2017.
Available files: [BibTeX] [DOI] [Details]

2016
Reviewed Conference Papers
S. Boblest, F. Hempert, M. Hoffmann, P. Offenhäuser, M. Sonntag, F. Sadlo, C. W. Glass, C.-D. Munz, T. Ertl, U. Iben:
Toward a Discontinuous Galerkin Fluid Dynamics Framework for Industrial Applications
In Proceedings of High Performance Computing in Science and Engineering 2015, Springer International Publishing, pp. 531–545, 2016.
Available files: [BibTeX] [DOI] [Details]

F. Hempert, S. Boblest, M. Hoffmann, P. Offenhäuser, F. Sadlo, C. W. Glass, C.-D. Munz, T. Ertl, U. Iben:
High-Pressure Real-Gas Jet and Throttle Flow as a Simplified Gas Injector Model Using a Discontinuous Galerkin Method
In Proceedings of High Performance Computing in Science and Engineering 2016, Springer International Publishing, pp. 289–300, 2016.
Available files: [BibTeX] [DOI] [Details]

2015
Book Chapters and Other Publications
T. Bolemann, M. Üffinger, F. Sadlo, T. Ertl, C.-D. Munz:
Direct Visualization of Piecewise Polynomial Data
In IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach, Springer International Publishing, pp. 535–550, 2015.
Available files: [BibTeX] [DOI] [Details]

2014
Book Chapters and Other Publications
S. Boblest, C. W. Glass, P. Offenhäuser, F. Sadlo, M. Hoffmann:
HONK - Higher-Order Methods for the Simulation of Complex Flow Phenomena
Innovatives Supercomputing in Deutschland (inSiDE), Gauss Centre for Supercomputing, vol. 12, no. 2, pp. 67–71, 2014.
Available files: [BibTeX] [PDF]

2013
Reviewed Conference Papers
M. Üffinger, F. Sadlo, C.-D. Munz, T. Ertl:
Toward Wall Function Consistent Interpolation of Flow Fields
In Short Paper Proceedings of EuroVis 2013, pp. 85–89, 2013.
Available files: [BibTeX] [DOI] [PDF] [Details]

Conference Papers with Reviewed Abstract
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.
Available files: [BibTeX] [PDF] [Details]

2011
Reviewed Journal Papers
C. Pagot, D. Osmari, F. Sadlo, D. Weiskopf, T. Ertl, J. Comba:
Efficient Parallel Vectors Feature Extraction from Higher-Order Data
Computer Graphics Forum, vol. 30, no. 3, pp. 751–760, 2011.
Available files: [BibTeX] [DOI] [Details]

Reviewed Conference Papers
M. Üffinger, M. A. Schweitzer, F. Sadlo, T. Ertl:
Direct Visualization of Particle-Partition of Unity Data
In Proceedings of International Workshop on Vision, Modeling and Visualization (VMV), pp. 255–262, 2011.
Available files: [BibTeX] [DOI] [PDF] [Details]

C. Pagot, J. Vollrath, F. Sadlo, D. Weiskopf, T. Ertl, J. L. Comba:
Interactive Isocontouring of High-Order Surfaces
In Scientific Visualization: Interactions, Features, Metaphors, Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, pp. 276–291, 2011.
Available files: [BibTeX] [DOI] [PDF] [Details]

Book Chapters and Other Publications
F. Sadlo, M. Üffinger, C. Pagot, D. Osmari, J. Comba, T. Ertl, C.-D. Munz, D. Weiskopf:
Visualization of Cell-Based Higher-Order Fields
Computing in Science and Engineering, vol. 13, no. 3, pp. 84–91, 2011.
Available files: [BibTeX] [DOI] [Details]