High-order schemes with larger time-step limits can benefit from using adaptive mesh refinement grids. One-parameter optimal flux reconstruction schemes are obtained by minimizing the error associated with wave propagation over the range of resolvable wavenumbers using a novel objective function that accounts for the Courant–Friedrichs–Lewy limit and order of accuracy constraint. The novel schemes are parameterized by the Courant–Friedrichs–Lewy limit, which, if chosen properly, leads to the obtained optimal Courant–Friedrichs–Lewy-like well-known schemes. The schemes are obtained by the differential evolution optimization algorithm, which is combined with the flux reconstruction–discontinuous Galerkin scheme to enlarge the time step limit on adaptive mesh refinement grids. Two numerical experiments were performed to investigate the properties of the schemes, including advection of a Gaussian bump and isentropic Euler vortex. The results show that the new schemes are more suitable for adaptive mesh refinement in terms of accuracy, dissipation, and stability.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    One-Parameter Optimal Flux Reconstruction Schemes for Adaptive Mesh Refinement


    Contributors:
    Chen, Long (author) / Zhou, Zhengyang (author) / Xia, Jian (author)

    Published in:

    AIAA Journal ; 60 , 3 ; 1440-1450


    Publication date :

    2022-03-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    ADAPTIVE MESH REFINEMENT IN US3D

    Knutson, Anthony / Brock, Joseph / Candler, Graham V | TIBKAT | 2021


    Adaptive Mesh Refinement in US3D

    Knutson, Anthony / Brock, Joseph / Candler, Graham V. | AIAA | 2021




    SMART ADAPTIVE MESH REFINEMENT WITH NEMOSYS

    Patel, Akash A. / Safdari, Masoud | TIBKAT | 2021