A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    The present paper describes a newly developed Navier-Stokes solver of fourth-order global spatial accuracy and second-order accuracy in time. The algorithm uses an explicit discretisation for the convection terms and an implicit formulation for the viscous terms. Compact-differences are used in the spatial discretisation. They offer a combination of flexibility of boundary conditions and spectral-like resolution (Lele(1992)).
    Original languageEnglish
    Title of host publicationRecent Advances in DNS and LES
    Subtitle of host publicationProceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999
    EditorsDoyle Knight, Leonidas Sakell
    Place of PublicationDordrecht
    PublisherKluwer Academic Publishers
    Pages385-396
    ISBN (Print)0-7923-6004-4
    DOIs
    Publication statusPublished - 7 Jun 1999
    Event2nd AFOSR Conference on Recent Advances in DNS and LES 1999 - University of New Jersey, New Brunswick, United States
    Duration: 7 Jun 19999 Jun 1999
    Conference number: 2

    Publication series

    NameFluid Mechanics and its Application
    PublisherKluwer Academic Publishers
    Volume54
    ISSN (Print)0926-5112

    Conference

    Conference2nd AFOSR Conference on Recent Advances in DNS and LES 1999
    CountryUnited States
    CityNew Brunswick
    Period7/06/999/06/99

    Fingerprint

    Navier-Stokes equations
    boundary condition
    convection

    Keywords

    • Large eddy simulation
    • Vortex core
    • Helmholtz equation
    • Grid block
    • Azimuthal volocity

    Cite this

    Steijl, R., & Hoeijmakers, H. W. M. (1999). A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. In D. Knight, & L. Sakell (Eds.), Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999 (pp. 385-396). (Fluid Mechanics and its Application; Vol. 54). Dordrecht: Kluwer Academic Publishers. https://doi.org/10.1007/978-94-011-4513-8_33
    Steijl, R. ; Hoeijmakers, H.W.M. / A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. editor / Doyle Knight ; Leonidas Sakell. Dordrecht : Kluwer Academic Publishers, 1999. pp. 385-396 (Fluid Mechanics and its Application).
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    abstract = "The present paper describes a newly developed Navier-Stokes solver of fourth-order global spatial accuracy and second-order accuracy in time. The algorithm uses an explicit discretisation for the convection terms and an implicit formulation for the viscous terms. Compact-differences are used in the spatial discretisation. They offer a combination of flexibility of boundary conditions and spectral-like resolution (Lele(1992)).",
    keywords = "Large eddy simulation, Vortex core, Helmholtz equation, Grid block, Azimuthal volocity",
    author = "R. Steijl and H.W.M. Hoeijmakers",
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    Steijl, R & Hoeijmakers, HWM 1999, A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. in D Knight & L Sakell (eds), Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. Fluid Mechanics and its Application, vol. 54, Kluwer Academic Publishers, Dordrecht, pp. 385-396, 2nd AFOSR Conference on Recent Advances in DNS and LES 1999, New Brunswick, United States, 7/06/99. https://doi.org/10.1007/978-94-011-4513-8_33

    A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. / Steijl, R.; Hoeijmakers, H.W.M.

    Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. ed. / Doyle Knight; Leonidas Sakell. Dordrecht : Kluwer Academic Publishers, 1999. p. 385-396 (Fluid Mechanics and its Application; Vol. 54).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    AB - The present paper describes a newly developed Navier-Stokes solver of fourth-order global spatial accuracy and second-order accuracy in time. The algorithm uses an explicit discretisation for the convection terms and an implicit formulation for the viscous terms. Compact-differences are used in the spatial discretisation. They offer a combination of flexibility of boundary conditions and spectral-like resolution (Lele(1992)).

    KW - Large eddy simulation

    KW - Vortex core

    KW - Helmholtz equation

    KW - Grid block

    KW - Azimuthal volocity

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    Steijl R, Hoeijmakers HWM. A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. In Knight D, Sakell L, editors, Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. Dordrecht: Kluwer Academic Publishers. 1999. p. 385-396. (Fluid Mechanics and its Application). https://doi.org/10.1007/978-94-011-4513-8_33