One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields
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 combi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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Springer
2011
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| Online Access: | http://hdl.handle.net/1721.1/64672 |
| _version_ | 1826208382585929728 |
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| author | Walfisch, David Ryan, Jennifer K. Kirby, Robert M. Haimes, Robert |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Walfisch, David Ryan, Jennifer K. Kirby, Robert M. Haimes, Robert |
| author_sort | Walfisch, David |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:04:33Z |
| format | Article |
| id | mit-1721.1/64672 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:04:33Z |
| publishDate | 2011 |
| publisher | Springer |
| record_format | dspace |
| spelling | mit-1721.1/646722022-10-01T19:01:14Z One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields Walfisch, David Ryan, Jennifer K. Kirby, Robert M. Haimes, Robert Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Haimes, Robert Walfisch, David Haimes, Robert 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. United States. Army Research Office (Grant no. W911NF-05-1-0395) National Science Foundation (U.S.) (Career Award NSF-CCF0347791) 2011-06-24T21:48:16Z 2011-06-24T21:48:16Z 2008-08 2008-07 Article http://purl.org/eprint/type/JournalArticle 0885-7474 http://hdl.handle.net/1721.1/64672 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 en_US http://dx.doi.org/10.1007/s10915-008-9230-8 Journal of Scientific Computing Creative Commons Attribution Noncommercial License http://creativecommons.org/licenses/by-nc/2.5 application/pdf Springer Springer |
| spellingShingle | Walfisch, David Ryan, Jennifer K. Kirby, Robert M. Haimes, Robert One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields |
| title | One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields |
| title_full | One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields |
| title_fullStr | One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields |
| title_full_unstemmed | One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields |
| title_short | One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields |
| title_sort | one sided smoothness increasing accuracy conserving filtering for enhanced streamline integration through discontinuous fields |
| url | http://hdl.handle.net/1721.1/64672 |
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