Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation

Arjen Koop, Harry Hoeijmakers

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

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    Abstract

    The shedding of a sheet cavity is governed by the direction and momentum of re-entrant and side-entrant jets and their impingement on the free surface of the cavity. Therefore, for an accurate prediction of the shedding of the sheet cavity it is important to predict the reentrant and side-entrant jets accurately. It appears that these jets are inertia driven suggesting that a numerical method based on the Euler equations is able to capture the phenomena associated with unsteady sheet cavitation. Due to the dynamics of sheet cavitation, strong pressure pulses are generated, originating from the collapse of shed vapor structures. To be able to predict the dynamics of the pressure waves the fluid is considered as a compressible medium by adopting appropriate equations of state for the liquid phase, the two-phase mixture and the vapor phase of the fluid. In this paper a computational method for solving the compressible unsteady Euler equations on unstructured grids is employed to predict the structure and dynamics of threedimensional unsteady sheet cavitation occurring on stationary hydrofoils, placed in a steady uniform flow. In the two-phase flow region an equilibrium cavitation model is employed, which assumes local thermodynamic and mechanical equilibrium. In this model the phase transition does not depend on empirical constants to be specified. The three-dimensional unsteady cavitating flow about a threedimensional hydrofoil (Twist11) is calculated. It is shown that the formation of the re-entrant flow and a cavitating horseshoe vortex are captured by the present numerical method. The calculated results agree reasonably well with experimental observations. Furthermore, it is demonstrated that the collapse of the shed vapor structures and the resulting high pressure pulses are captured in the numerical simulations.
    Original languageEnglish
    Title of host publicationProceedings of the 7th International Symposium on Cavitation, CAV2009
    Subtitle of host publicationAugust 17-22, 2009, Ann Arbor, Michigan, USA
    PublisherCurran Associates Inc.
    Pages431-443
    ISBN (Print)978-1-61782-642-9
    Publication statusPublished - 17 Aug 2009
    Event7th International Symposium on Cavitation, CAV 2009 - Ann Arbor, United States
    Duration: 17 Aug 200922 Aug 2009
    Conference number: 7

    Conference

    Conference7th International Symposium on Cavitation, CAV 2009
    Abbreviated titleCAV
    CountryUnited States
    CityAnn Arbor
    Period17/08/0922/08/09

    Fingerprint

    cavitation flow
    hydrofoils
    sheds
    pressure pulses
    simulation
    cavities
    vapors
    horseshoe vortices
    uniform flow
    impingement
    fluids
    unsteady flow
    local thermodynamic equilibrium
    two phase flow
    elastic waves
    inertia
    liquid phases
    equations of state
    vapor phases
    momentum

    Keywords

    • METIS-264769

    Cite this

    Koop, A., & Hoeijmakers, H. (2009). Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. In Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA (pp. 431-443). Curran Associates Inc..
    Koop, Arjen ; Hoeijmakers, Harry. / Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc., 2009. pp. 431-443
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    title = "Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation",
    abstract = "The shedding of a sheet cavity is governed by the direction and momentum of re-entrant and side-entrant jets and their impingement on the free surface of the cavity. Therefore, for an accurate prediction of the shedding of the sheet cavity it is important to predict the reentrant and side-entrant jets accurately. It appears that these jets are inertia driven suggesting that a numerical method based on the Euler equations is able to capture the phenomena associated with unsteady sheet cavitation. Due to the dynamics of sheet cavitation, strong pressure pulses are generated, originating from the collapse of shed vapor structures. To be able to predict the dynamics of the pressure waves the fluid is considered as a compressible medium by adopting appropriate equations of state for the liquid phase, the two-phase mixture and the vapor phase of the fluid. In this paper a computational method for solving the compressible unsteady Euler equations on unstructured grids is employed to predict the structure and dynamics of threedimensional unsteady sheet cavitation occurring on stationary hydrofoils, placed in a steady uniform flow. In the two-phase flow region an equilibrium cavitation model is employed, which assumes local thermodynamic and mechanical equilibrium. In this model the phase transition does not depend on empirical constants to be specified. The three-dimensional unsteady cavitating flow about a threedimensional hydrofoil (Twist11) is calculated. It is shown that the formation of the re-entrant flow and a cavitating horseshoe vortex are captured by the present numerical method. The calculated results agree reasonably well with experimental observations. Furthermore, it is demonstrated that the collapse of the shed vapor structures and the resulting high pressure pulses are captured in the numerical simulations.",
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    language = "English",
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    Koop, A & Hoeijmakers, H 2009, Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. in Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc., pp. 431-443, 7th International Symposium on Cavitation, CAV 2009, Ann Arbor, United States, 17/08/09.

    Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. / Koop, Arjen; Hoeijmakers, Harry.

    Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc., 2009. p. 431-443.

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

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    T1 - Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation

    AU - Koop, Arjen

    AU - Hoeijmakers, Harry

    PY - 2009/8/17

    Y1 - 2009/8/17

    N2 - The shedding of a sheet cavity is governed by the direction and momentum of re-entrant and side-entrant jets and their impingement on the free surface of the cavity. Therefore, for an accurate prediction of the shedding of the sheet cavity it is important to predict the reentrant and side-entrant jets accurately. It appears that these jets are inertia driven suggesting that a numerical method based on the Euler equations is able to capture the phenomena associated with unsteady sheet cavitation. Due to the dynamics of sheet cavitation, strong pressure pulses are generated, originating from the collapse of shed vapor structures. To be able to predict the dynamics of the pressure waves the fluid is considered as a compressible medium by adopting appropriate equations of state for the liquid phase, the two-phase mixture and the vapor phase of the fluid. In this paper a computational method for solving the compressible unsteady Euler equations on unstructured grids is employed to predict the structure and dynamics of threedimensional unsteady sheet cavitation occurring on stationary hydrofoils, placed in a steady uniform flow. In the two-phase flow region an equilibrium cavitation model is employed, which assumes local thermodynamic and mechanical equilibrium. In this model the phase transition does not depend on empirical constants to be specified. The three-dimensional unsteady cavitating flow about a threedimensional hydrofoil (Twist11) is calculated. It is shown that the formation of the re-entrant flow and a cavitating horseshoe vortex are captured by the present numerical method. The calculated results agree reasonably well with experimental observations. Furthermore, it is demonstrated that the collapse of the shed vapor structures and the resulting high pressure pulses are captured in the numerical simulations.

    AB - The shedding of a sheet cavity is governed by the direction and momentum of re-entrant and side-entrant jets and their impingement on the free surface of the cavity. Therefore, for an accurate prediction of the shedding of the sheet cavity it is important to predict the reentrant and side-entrant jets accurately. It appears that these jets are inertia driven suggesting that a numerical method based on the Euler equations is able to capture the phenomena associated with unsteady sheet cavitation. Due to the dynamics of sheet cavitation, strong pressure pulses are generated, originating from the collapse of shed vapor structures. To be able to predict the dynamics of the pressure waves the fluid is considered as a compressible medium by adopting appropriate equations of state for the liquid phase, the two-phase mixture and the vapor phase of the fluid. In this paper a computational method for solving the compressible unsteady Euler equations on unstructured grids is employed to predict the structure and dynamics of threedimensional unsteady sheet cavitation occurring on stationary hydrofoils, placed in a steady uniform flow. In the two-phase flow region an equilibrium cavitation model is employed, which assumes local thermodynamic and mechanical equilibrium. In this model the phase transition does not depend on empirical constants to be specified. The three-dimensional unsteady cavitating flow about a threedimensional hydrofoil (Twist11) is calculated. It is shown that the formation of the re-entrant flow and a cavitating horseshoe vortex are captured by the present numerical method. The calculated results agree reasonably well with experimental observations. Furthermore, it is demonstrated that the collapse of the shed vapor structures and the resulting high pressure pulses are captured in the numerical simulations.

    KW - METIS-264769

    M3 - Conference contribution

    SN - 978-1-61782-642-9

    SP - 431

    EP - 443

    BT - Proceedings of the 7th International Symposium on Cavitation, CAV2009

    PB - Curran Associates Inc.

    ER -

    Koop A, Hoeijmakers H. Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. In Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc. 2009. p. 431-443