A study on time evolution method for hyperbolic navier-stokes system

Tsukasa Nagao, Atsushi Hashimoto, Tetsuya Satou

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    The convergence and accuracy of gradient values on high aspect ratio grids remain problems in CFD. One of the methods solving these problems is to use a hyperbolic system. In this study, we investigated time evolution methods for hyperbolic systems and compare the hyperbolic method with a traditional method. We solve the following test cases: one and two dimensional advection-diffusion problems, Navier-Stokes problems such as laminar flow on a flat plate and laminar flow around a cylinder. We confirmed that the convergence in hyperbolic systems was much more rapid and the accuracy of gradient values was higher than that of traditional system. The hyperbolic system takes almost the same time or shorter time than traditional system on same grids. In the case of Navier-Stokes problems such as high Reynolds number boundary flow, on grids achieving the same accuracy, it takes less time in hyperbolic systems than in traditional systems. One of the major findings is that using approximate Jacobian gives the same order accuracy as using exact Jacobian and reduces calculation time remarkably in hyperbolic system. Calculation time was 19% shorter in 1D advection-diffusion problem, 9% in 2D advection-diffusion problem, and more than 74% in Navier-Stokes systems.

    Original languageEnglish
    Title of host publicationAIAA Aerospace Sciences Meeting
    PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
    Edition210059
    ISBN (Print)9781624105241
    DOIs
    Publication statusPublished - 2018 Jan 1
    EventAIAA Aerospace Sciences Meeting, 2018 - Kissimmee, United States
    Duration: 2018 Jan 82018 Jan 12

    Other

    OtherAIAA Aerospace Sciences Meeting, 2018
    CountryUnited States
    CityKissimmee
    Period18/1/818/1/12

    Fingerprint

    Advection
    Laminar flow
    Aspect ratio
    Computational fluid dynamics
    Reynolds number

    ASJC Scopus subject areas

    • Aerospace Engineering

    Cite this

    Nagao, T., Hashimoto, A., & Satou, T. (2018). A study on time evolution method for hyperbolic navier-stokes system. In AIAA Aerospace Sciences Meeting (210059 ed.). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-0370

    A study on time evolution method for hyperbolic navier-stokes system. / Nagao, Tsukasa; Hashimoto, Atsushi; Satou, Tetsuya.

    AIAA Aerospace Sciences Meeting. 210059. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Nagao, T, Hashimoto, A & Satou, T 2018, A study on time evolution method for hyperbolic navier-stokes system. in AIAA Aerospace Sciences Meeting. 210059 edn, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Aerospace Sciences Meeting, 2018, Kissimmee, United States, 18/1/8. https://doi.org/10.2514/6.2018-0370
    Nagao T, Hashimoto A, Satou T. A study on time evolution method for hyperbolic navier-stokes system. In AIAA Aerospace Sciences Meeting. 210059 ed. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018 https://doi.org/10.2514/6.2018-0370
    Nagao, Tsukasa ; Hashimoto, Atsushi ; Satou, Tetsuya. / A study on time evolution method for hyperbolic navier-stokes system. AIAA Aerospace Sciences Meeting. 210059. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.
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