Solution methods for the compressible Navier–Stokes equations based on finite volume discretizations often implement boundary conditions using ghost cells outside of the computational domain. Filling the ghost cells using straightforward zeroth- or first-order extrapolation, although computationally expedient, is well known to fail even for some simple flows, especially when turbulent structures interact with the boundaries or if time-varying inflow conditions are imposed. The Navier–Stokes characteristic boundary condition approach provides more accurate boundary conditions, but requires the use of special discretizations at boundaries. The present paper develops a new technique based on the Navier–Stokes characteristic boundary condition approach to derive values for ghost cells that significantly improve the treatment of boundaries over simple extrapolation, but retain the ghost cell approach. It is demonstrated in the context of a Godunov integration procedure that the new method provides accurate results, while allowing the use of the same stencil and numerical methodology near the boundaries as in the interior.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Navier–Stokes Characteristic Boundary Conditions Using Ghost Cells


    Contributors:

    Published in:

    AIAA Journal ; 55 , 10 ; 3399-3408


    Publication date :

    2017-07-25


    Size :

    10 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Navier-Stokes Characteristic Boundary Conditions Using Ghost Cells

    Motheau, Emmanuel / Almgren, Ann S. / Bell, John B. | AIAA | 2017



    Characteristic Ghost Cell Boundary Condition

    Andreas Gross / Hermann Fasel | AIAA | 2007


    FLUX BASED SURFACE BOUNDARY CONDITIONS FOR NAVIER-STOKES SIMULATIONS

    Fertig, M. / Auweter-Kurtz, M. | British Library Conference Proceedings | 2004