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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    High-Order Immersed-Boundary Method for Incompressible Flows


    Contributors:
    Zhu, Chi (author) / Luo, Haoxiang (author) / Li, Guibo (author)

    Published in:

    AIAA Journal ; 54 , 9 ; 2734-2741


    Publication date :

    2016-05-31


    Size :

    8 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English