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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    Title :

    High-Order Immersed-Boundary Method for Incompressible Flows


    Contributors:

    Published in:

    Publication date :

    2016




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

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




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