Interpolation error in DNS simulations of turbulence: consequences for particle tracking

M.A.T. van Hinsberg, J.H.M. ten Thije Boonkkamp, B.J.H. van de Wiel, F. Toschi, H.J.H. Clercx

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    An important aspect in numerical simulations of particle laden turbulent flows is the interpolation of the flow field. For the interpolation different approaches are used. Where some studies use low order linear interpolation others use high order spline methods. We compare several interpolation methods and conclude that interpolation based on B-spline functions has several advantages compared with traditional methods. First, B-spline interpolation can be executed very efficiently by optimal use of the pseudo spectral code, only one FFT needs to be executed where Hermite spline needs multiple FFTs for computing the derivatives. Second, the smoothness of the interpolated field is higher than that of Hermite spline interpolation. Finally, the interpolation error almost matches the one of Hermite spline which is not reached by the other methods investigated. Further, we focus on estimating the interpolation error and compare it with the discretisation error of the flow field. In this way one can balance the errors in order to achieve an optimal result. Algorithms have been developed for the approximation of the interpolation error. As a spin-off of the theoretical analysis a practical method is proposed which enables direct estimation of the interpolation error from the energy spectrum, which may provide a quantitative indicator for this purpose.
    Original languageEnglish
    Title of host publicationProceedings of the 13th European Turbulence Conference (ETC13)
    Place of PublicationBristol
    PublisherInstitute of Physics
    Number of pages6
    Publication statusPublished - 2011
    Event13th European Turbulence Conference, ETC 2011 - Warsaw, Poland
    Duration: 12 Sept 201115 Sept 2011
    Conference number: 13

    Publication series

    NameJournal of Physics: Conference Series
    PublisherInstitute of Physics
    ISSN (Print)1742-6588
    ISSN (Electronic)1742-6596


    Conference13th European Turbulence Conference, ETC 2011
    Abbreviated titleETC13

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