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Enhancing accuracy with a convolution filter: What works and why

Computers & fluids, 2020-12, Vol.213, p.104727 [Peer Reviewed Journal]

ISSN: 1879-0747 ;ISSN: 0045-7930 ;EISSN: 1879-0747 ;DOI: 10.1016/j.compfluid.2020.104727

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  • Title:
    Enhancing accuracy with a convolution filter: What works and why
  • Author: Docampo-Sánchez, J. ; Jacobs, G.B. ; Li, X. ; Ryan, Jennifer K.
  • Subjects: Convolution filtering ; Discontinuous Galerkin ; Smoothness-increasing Accuracy-conserving (SIAC) filter ; Superconvergence
  • Is Part Of: Computers & fluids, 2020-12, Vol.213, p.104727
  • Description: 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.
  • Language: English
  • Identifier: ISSN: 1879-0747
    ISSN: 0045-7930
    EISSN: 1879-0747
    DOI: 10.1016/j.compfluid.2020.104727
  • Source: SWEPUB Freely available online
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