One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields
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Haimes_One-sided.pdf
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Author(s)
Walfisch, David
Ryan, Jennifer K.
Kirby, Robert M.
Haimes, Robert
Date Issued
August 2008
Journal
Journal of Scientific Computing
Publisher
Springer
Citation
Walfisch, David et al. “One-Sided Smoothness-Increasing Accuracy-Conserving Filtering for Enhanced Streamline Integration through Discontinuous Fields.” Journal of Scientific Computing 38.2 (2008) : 164-184. © Springer Science+Business Media, LLC 2008
Version
Final published version
Abstract
The discontinuous Galerkin (DG) method continues to maintain heightened levels
of interest within the simulation community because of the discretization flexibility it
provides. One of the fundamental properties of the DG methodology and arguably its most
powerful property is the ability to combine high-order discretizations on an inter-element
level while allowing discontinuities between elements. This flexibility, however, generates
a plethora of difficulties when one attempts to use DG fields for feature extraction and visualization,
as most post-processing schemes are not designed for handling explicitly discontinuous
fields. This work introduces a new method of applying smoothness-increasing,
accuracy-conserving filtering on discontinuous Galerkin vector fields for the purpose of enhancing
streamline integration. The filtering discussed in this paper enhances the smoothness
of the field and eliminates the discontinuity between elements, thus resulting in more
accurate streamlines. Furthermore, as a means of minimizing the computational cost of the
method, the filtering is done in a one-dimensional manner along the streamline.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Creative Commons Attribution Noncommercial License
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DOI of Published Version
https://doi.org/10.1007/s10915-008-9230-8
