In this work, a high-order numerical approach based on the immersed-boundary method to simulate viscous incompressible flows involving arbitrary boundaries is described. The idea is to combine compact finite difference schemes and a high-order direct forcing approach of the sharp-interface immersed-boundary method. In this approach, a particular challenge is to solve the pressure Poisson equation using the compact stencil. This issue is addressed by introducing an efficient approach based on high-order corrections to the right-hand side of the Poisson equation (that is, the source term) while retaining the second-order short stencil for the Laplace operator. The two-dimensional implementation is described, for which third-order global convergence is achieved when an immersed boundary is present.


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    Titel :

    High-Order Immersed-Boundary Method for Incompressible Flows


    Beteiligte:

    Erschienen in:

    AIAA journal ; 54 , 9 ; 2734-2741


    Erscheinungsdatum :

    2016




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch


    Schlagwörter :

    Klassifikation :

    BKL:    50.93 / 55.50 Luftfahrzeugtechnik / 50.93 Weltraumforschung / 55.60 Raumfahrttechnik / 55.50 / 55.60
    Lokalklassifikation TIB:    770/7040




    High-Order Immersed-Boundary Method for Incompressible Flows

    Zhu, Chi / Luo, Haoxiang / Li, Guibo | AIAA | 2016



    A High-Order Immersed Boundary Method for Unsteady Incompressible Flow Calculations

    Linnick, M. N. / Fasel, H. F. / AIAA | British Library Conference Proceedings | 2003