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    Optimized explicit runge–kutta schemes for entropy stable discontinuous collocated methods applied to the euler and navier–stokes equations

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    Type
    Conference Paper
    Authors
    Al Jahdali, R.
    Boukharfane, Radouan cc
    Dalcin, Lisandro
    Parsani, Matteo cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Extreme Computing Research Center
    Applied Mathematics and Computational Science Program
    Date
    2021-01-04
    Permanent link to this record
    http://hdl.handle.net/10754/667478
    
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    Abstract
    In this work, we design a new set of optimized explicit Runge–Kutta schemes for the integration of systems of ordinary differential equations arising from the spatial discretization of wave propagation problems with entropy stable collocated discontinuous Galerkin methods. The optimization of the new time integration schemes is based on the spectrum of the discrete spatial operator for the advection equation. To demonstrate the efficiency and accuracy of the new schemes compared to some widely used classic explicit Runge–Kutta methods, we report the wall-clock time versus the error for the simulation of the two-dimensional advection equation and the propagation of an isentropic vortex with the compressible Euler equations. The efficiency and robustness of the proposed optimized schemes for more complex flow problems are presented for the three-dimensional Taylor–Green vortex at a Reynolds number of Re = 1.6 × 103 and Mach number Ma = 0.1, and the flow past two identical spheres in tandem at a Reynolds number of Re = 3.9 × 103 and Mach number Ma = 0.1.
    Citation
    Al Jahdali, R., Boukharfane, R., Dalcin, L., & Parsani, M. (2021). Optimized Explicit Runge-Kutta Schemes for Entropy Stable Discontinuous Collocated Methods Applied to the Euler and Navier–Stokes equations. AIAA Scitech 2021 Forum. doi:10.2514/6.2021-0633
    Publisher
    American Institute of Aeronautics and Astronautics
    Conference/Event name
    AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2021
    ISBN
    9781624106095
    DOI
    10.2514/6.2021-0633
    Additional Links
    https://arc.aiaa.org/doi/10.2514/6.2021-0633
    ae974a485f413a2113503eed53cd6c53
    10.2514/6.2021-0633
    Scopus Count
    Collections
    Conference Papers; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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