A new spectral method for direct numerical simulations of magnetohydrodynamic channel flows

Kacper Kornet, Alban Potherat

    Research output: Contribution to conferencePaperpeer-review


    Simulations of liquid metal flows in channel and duct configurations under a strong magnetic field pose a difficult problem for existing numerical methods. The main obstacle is the linear increase in number of modes required to resolve thin Hartmann boundary layers with the intensity of the magnetic field B. To overcome this problem we developed a new approach to the numerical calculations describing these flows. The solution of the flow is expressed in a base of eigenfunctions of the linear part of the governing equations and its adjoint, We show that in this approach the computational cost does not depend on the thickness of boundary layer and therefore it allows for performing calculations for high magnetic fields.

    Original languageEnglish
    Publication statusPublished - 2013
    Event14th European Turbulence Conference, ETC 2013 - Lyon, France
    Duration: 1 Sept 20134 Sept 2013
    Conference number: 14


    Conference14th European Turbulence Conference, ETC 2013

    Bibliographical note

    Funding Information:
    The project is funded by the Leverhulme Trust grant F/00-732J.

    Publisher Copyright:
    Copyright © ETC 2013 - 14th European Turbulence Conference.All rights reserved.

    ASJC Scopus subject areas

    • Acoustics and Ultrasonics
    • Astronomy and Astrophysics
    • Atmospheric Science
    • Geophysics


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