Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Mathea Vuik, Jennifer Ryan

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    Abstract

    It is well known that solutions to nonlinear hyperbolic PDEs develop discontinuities in time. The generation of spurious oscillations in such regions can be prevented by applying a limiter in the troubled zones. In earlier work, we constructed a multiwavelet troubled-cell indicator for one and (tensor-product) two dimensions (SIAM J. Sci. Comput. 38(1):A84–A104, 2016). In this paper, we investigate multiwavelet troubled-cell indicators on structured triangular meshes. One indicator uses a problem-dependent parameter; the other indicator is combined with outlier detection.
    Original languageEnglish
    Title of host publicationSpectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
    EditorsMarco L. Bittencourt, Ney A. Dumont, Jan S. Hesthaven
    PublisherSpringer
    Pages383-395
    Number of pages13
    Volume119
    ISBN (Electronic)978-3-319-65870-4
    ISBN (Print)978-3-319-65869-8
    DOIs
    Publication statusPublished - 2017
    EventICOSAHOM conference - Rio de Janeiro, Brazil
    Duration: 27 Jun 20161 Jul 2016

    Publication series

    NameLecture Notes in Computational Science and Engineering
    PublisherSpringer
    Volume119
    ISSN (Print)1439-7358

    Conference

    ConferenceICOSAHOM conference
    Country/TerritoryBrazil
    CityRio de Janeiro
    Period27/06/161/07/16

    Keywords

    • discontinuous Galerkin
    • Multi-wavelets
    • Hyperbolic Equations
    • Multi-Resolution analysis

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