On the Treatment of Field Quantities and Elemental Continuity in FEM Solutions

Jallepalli, Ashok, Docampo-Sánchez, Julia, Ryan, Jennifer K., Haimes, Robert and Kirby, Robert M. (2018) On the Treatment of Field Quantities and Elemental Continuity in FEM Solutions. In: IEEE Transactions on Visualization and Computer Graphics. The Institute of Electrical and Electronics Engineers (IEEE), USA, pp. 903-912.

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Abstract

As the finite element method (FEM) and the finite volume method (FVM), both traditional and high-order variants, continue their proliferation into various applied engineering disciplines, it is important that the visualization techniques and corresponding data analysis tools that act on the results produced by these methods faithfully represent the underlying data. To state this in another way: the interpretation of data generated by simulation needs to be consistent with the numerical schemes that underpin the specific solver technology. As the verifiable visualization literature has demonstrated: visual artifacts produced by the introduction of either explicit or implicit data transformations, such as data resampling, can sometimes distort or even obfuscate key scientific features in the data. In this paper, we focus on the handling of elemental continuity, which is often only C0 continuous or piecewise discontinuous, when visualizing primary or derived fields from FEM or FVM simulations. We demonstrate that traditional data handling and visualization of these fields introduce visual errors. In addition, we show how the use of the recently proposed line-SIAC filter provides a way of handling elemental continuity issues in an accuracy-conserving manner with the added benefit of casting the data in a smooth context even if the representation is element discontinuous.

Item Type:	Book Section
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User:	Pure Connector
Date Deposited:	20 Jul 2017 05:06
Last Modified:	22 Oct 2022 00:02
URI:	https://ueaeprints.uea.ac.uk/id/eprint/64171
DOI:	10.1109/TVCG.2017.2744058

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