An absorbing boundary formulation for the stratified, linearized, ideal MHD equations based on an unsplit, convolutional perfectly matched layer

Shravan Hanasoge, D. Komatitsch, Laurent Gizon

    Research output: Contribution to journalArticle

    Abstract

    Perfectly matched layers are a very efficient way to absorb waves on the outer edges of media. We present a stable convolutional unsplit perfectly matched formulation designed for the linearized stratified Euler equations. The technique as applied to the Magneto-hydrodynamic (MHD) equations requires the use of a sponge, which, despite placing the perfectly matched status in question, is still highly efficient at absorbing outgoing waves. We study solutions of the equations in the backdrop of models of linearized wave propagation in the Sun. We test the numerical stability of the schemes by integrating the equations over a large number of wave periods.

    Original languageEnglish (US)
    Article numberA87
    JournalAstronomy and Astrophysics
    Volume522
    Issue number7
    DOIs
    StatePublished - Nov 5 2010

    Fingerprint

    absorbing boundary
    perfectly matched layers
    hydrodynamic equations
    hydrodynamics
    formulations
    numerical stability
    wave propagation
    sponge

    Keywords

    • Magnetohydrodynamics
    • Methods: numerical
    • Sun: helioseismology
    • Sun: oscillations
    • Waves

    ASJC Scopus subject areas

    • Astronomy and Astrophysics
    • Space and Planetary Science

    Cite this

    An absorbing boundary formulation for the stratified, linearized, ideal MHD equations based on an unsplit, convolutional perfectly matched layer. / Hanasoge, Shravan; Komatitsch, D.; Gizon, Laurent.

    In: Astronomy and Astrophysics, Vol. 522, No. 7, A87, 05.11.2010.

    Research output: Contribution to journalArticle

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