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    On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations

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    Type
    Preprint
    Authors
    Rojas, Diego
    Boukharfane, Radouan cc
    Dalcin, Lisandro
    Fernandez, David C. Del Rey
    Ranocha, Hendrik cc
    Keyes, David E. cc
    Parsani, Matteo cc
    KAUST Department
    King Abdullah University of Science and Technology (KAUST)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Extreme Computing Research Center
    Applied Mathematics and Computational Science Program
    Office of the President
    Date
    2019-11-21
    Permanent link to this record
    http://hdl.handle.net/10754/660748
    
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    Abstract
    In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational advances in individual components of future solvers. At the algorithmic level, hardware compatibility and efficiency are of paramount importance in determining viability at exascale and beyond. However, equally important (if not more so) is algorithmic robustness with minimal user intervention, which becomes progressively more challenging to achieve as problem size and physics complexity increase. We numerically show that low and high order entropy stable discontinuous spatial discretizations based on summation-by-part operators and simultaneous-approximation-terms technique provides an essential step toward a truly enabling technology in terms of reliability and robustness for both under-resolved turbulent flow simulations and flows with discontinuities.
    Sponsors
    The research reported in this paper was funded by King Abdullah University of Science and Technology. We are thankful for the computing resources of the Supercomputing Laboratory and the Extreme Computing Research Center at King Abdullah University of Science and Technology.
    Publisher
    arXiv
    Journal
    Submitted to Journal of Computational Physics
    arXiv
    1911.10966
    Additional Links
    https://arxiv.org/pdf/1911.10966
    Collections
    Preprints; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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