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    Compact Direct Flux Reconstruction for the Navier-Stokes Equations on Dynamic Meshes

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    AIAA-2017-3098.pdf (2.584Mb)
    Permanent Link
    http://hdl.handle.net/11603/7702
    Collections
    • UMBC Faculty Collection
    • UMBC Mechanical Engineering Department
    • UMBC Student Collection
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    Author/Creator
    Wang, Lia
    Yu, Meilin
    Date
    2017
    Type of Work
    16 pages
    Text
    conference papers and proceedings
    Citation of Original Publication
    Lai Wang and Meilin Yu. "Compact Direct Flux Reconstruction for the Navier-Stokes Equations on Dynamic Meshes", 23rd AIAA Computational Fluid Dynamics Conference, AIAA AVIATION Forum, (AIAA 2017-3098) https://doi.org/10.2514/6.2017-3098
    Rights
    This item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.
    Subjects
    dynamic meshes
    Navier-Stokes equations
    compact direct flux reconstruction
    CDFR
    quadrilateral unstructured dynamic meshes
    finite difference techniques
    Abstract
    In this study, the high-order discontinuous compact direct flux reconstruction (CDFR) method is used to solve the two-dimensional (2D) Navier-Stokes equations on quadrilateral unstructured dynamic meshes. Within a standard element, the CDFR method employs com-pact finite difference (FD) techniques to directly construct the nodal spatial derivatives on Gauss-Legendre solution points. In the procedure of constructing an arbitrary CDFR method, the spatial derivatives are approximated with local fluxes on solution points and common fluxes on element interfaces (flux points) in FD forms. No polynomial reconstruction needs to be employed explicitly. It is observed that the CDFR method is identical with the direct flux re-construction (DFR) method and the nodal flux reconstruction-discontinuous Galerkin (FR-DG) method if Gauss-Legendre points are selected as solution points. For simulations with dynamic meshes, the geometric conservation law (GCL) has been incorporated into the Navier-Stokes equations. The performance of CDFR methods has been verified with various test cases, in-cluding the Euler vortex propagation on deformable meshes, and the Couette flow. Laminar flows of Ma = 0.2 over a static circular cylinder (Re = 100, 185) and an oscillating circular cylinder (Re = 185) have been studied to demonstrate the capability of the solver developed in this study.


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    Albin O. Kuhn Library & Gallery
    University of Maryland, Baltimore County
    1000 Hilltop Circle
    Baltimore, MD 21250
    www.umbc.edu/scholarworks

    Contact information:
    Email: scholarworks-group@umbc.edu
    Phone: 410-455-3021


    If you wish to submit a copyright complaint or withdrawal request, please email mdsoar-help@umd.edu.