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Enhancing accuracy ...
Enhancing accuracy with a convolution filter : What works and why!
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- Docampo-Sánchez, J. (author)
- Barcelona Supercomputing Centre- Centro Nacional de Supercomputación (BSC-CNS), c / Jordi Girona, 29 - Nexus II, CASE department, 08034- Barcelona, Spain
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- Jacobs, G.B. (author)
- Department of Aerospace Engineering, San Diego State University, 5500 Campanile Drive, MC 1308 San Diego, CA 92182, United States
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- Li, X. (author)
- School of Mathematical Science, University of Electronic Science and Technology of China
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- Ryan, Jennifer K. (author)
- Applied Mathematics & Statistics, Colorado School of Mines, 1500 Illinois Street, Golden, CO 80402, United States
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(creator_code:org_t)
- Elsevier BV, 2020
- 2020
- English.
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In: Computers & Fluids. - : Elsevier BV. - 0045-7930 .- 1879-0747. ; 213, s. 104727-104727
- Related links:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Subject headings
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- In this paper we present a simplified discussion of the Smoothness-Increasing Accuracy-Conserving (SIAC) filter. We demonstrate the importance of appropriately initializing the data in order to be able to extract higher orders of accuracy by comparing the nodal and modal forms of a discontinuous Galerkin approximation applied to a simplified cubic polynomial. Using the modal form, we are able to exactly reproduce the cubic polynomial, whereas this reconstruction does not occur using the nodal form. Furthermore, we tie the ability of the filter to extract extra accuracy to its accurate wave propagation properties.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Convolution filtering
- Discontinuous Galerkin
- Smoothness-increasing Accuracy-conserving (SIAC) filter
- Superconvergence
Publication and Content Type
- ref (subject category)
- art (subject category)
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