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    A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids

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    Wang_high-order2011.pdf (3.645Mb)
    Issue Date
    2011-05-16
    Author
    Haga, T.
    Gao, H.
    Wang, Zhi Jian
    Publisher
    EDP Sciences
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    The newly developed unifying discontinuous formulation named the correction procedure via reconstruction (CPR) for conservation laws is extended to solve the Navier-Stokes equations for 3D mixed grids. In the current development, tetrahedrons and triangular prisms are considered. The CPR method can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a more efficient differential form. By selecting the solution points to coincide with the flux points, solution reconstruction can be completely avoided. Accuracy studies confirmed that the optimal order of accuracy can be achieved with the method. Several benchmark test cases are computed by solving the Euler and compressible Navier-Stokes equations to demonstrate its performance.
    Description
    This is the published version. Copyright 2011 © EDP Sciences
    URI
    http://hdl.handle.net/1808/18980
    DOI
    https://doi.org/10.1051/mmnp/20116302
    Collections
    • Aerospace Engineering Scholarly Works [49]
    Citation
    Haga, T., H. Gao, and Z. J. Wang. "A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids." Mathematical Modelling of Natural Phenomena Math. Model. Nat. Phenom. 6.3 (2011): 28-56. http://dx.doi.org/10.1051/mmnp/20116302

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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