A priori analysis of an isothermal, turbulent two-phase flow

Alessandro Pecenko, Johannes G.M. Kuerten

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

    Abstract

    A novel approach to the simulation of isothermal, turbulent two-phase (liquid/vapour) flow of one substance is presented. The two-phase flow is modeled with a “one-fluid" formulation by means of a diffuse-interface concept and of the frame-invariant Korteweg tensor of capillary stresses at the interface. A single system of compressible Navier-Stokes equations can be written for the whole flow domain, the fluid properties being described by continuous functions of the mass density. The Van der Waals equation of state accounts for the variation of pressure with density at a given value of temperature slightly below the critical isotherm. After description of the numerical method, results of the Direct Numerical Simulation of a classic benchmark problem are shown. Next, two-phase subgrid terms related to the nonlinear pressure and capillary terms are studied by means of an a priori analysis based on DNS results, and a subgrid model for these terms is proposed.
    Original languageUndefined
    Title of host publicationQuality and Reliability of Large-Eddy Simulations II
    EditorsM.V. Salvetti, Bernardus J. Geurts, J. Meyers, P. Sagaut
    Place of PublicationDordrecht
    PublisherSpringer
    Pages111-120
    Number of pages10
    ISBN (Print)978-94-007-0230-1
    DOIs
    Publication statusPublished - 2011
    EventQuality and Reliability of Large-Eddy Simulations II, QLES 2009 - Pisa, Italy
    Duration: 9 Sep 200911 Sep 2009
    Conference number: 2

    Publication series

    NameERCOFAC Series
    PublisherSpringer
    Volume16
    ISSN (Print)1382-4309

    Workshop

    WorkshopQuality and Reliability of Large-Eddy Simulations II, QLES 2009
    Abbreviated titleQLES
    CountryItaly
    CityPisa
    Period9/09/0911/09/09

    Keywords

    • IR-76080
    • EWI-19578
    • METIS-277533

    Cite this

    Pecenko, A., & Kuerten, J. G. M. (2011). A priori analysis of an isothermal, turbulent two-phase flow. In M. V. Salvetti, B. J. Geurts, J. Meyers, & P. Sagaut (Eds.), Quality and Reliability of Large-Eddy Simulations II (pp. 111-120). (ERCOFAC Series; Vol. 16). Dordrecht: Springer. https://doi.org/10.1007/978-94-007-0231-8_10
    Pecenko, Alessandro ; Kuerten, Johannes G.M. / A priori analysis of an isothermal, turbulent two-phase flow. Quality and Reliability of Large-Eddy Simulations II. editor / M.V. Salvetti ; Bernardus J. Geurts ; J. Meyers ; P. Sagaut. Dordrecht : Springer, 2011. pp. 111-120 (ERCOFAC Series).
    @inproceedings{b30d6c3247ec469aa79ce806429cfa3d,
    title = "A priori analysis of an isothermal, turbulent two-phase flow",
    abstract = "A novel approach to the simulation of isothermal, turbulent two-phase (liquid/vapour) flow of one substance is presented. The two-phase flow is modeled with a “one-fluid{"} formulation by means of a diffuse-interface concept and of the frame-invariant Korteweg tensor of capillary stresses at the interface. A single system of compressible Navier-Stokes equations can be written for the whole flow domain, the fluid properties being described by continuous functions of the mass density. The Van der Waals equation of state accounts for the variation of pressure with density at a given value of temperature slightly below the critical isotherm. After description of the numerical method, results of the Direct Numerical Simulation of a classic benchmark problem are shown. Next, two-phase subgrid terms related to the nonlinear pressure and capillary terms are studied by means of an a priori analysis based on DNS results, and a subgrid model for these terms is proposed.",
    keywords = "IR-76080, EWI-19578, METIS-277533",
    author = "Alessandro Pecenko and Kuerten, {Johannes G.M.}",
    note = "eemcs-eprint-19578",
    year = "2011",
    doi = "10.1007/978-94-007-0231-8_10",
    language = "Undefined",
    isbn = "978-94-007-0230-1",
    series = "ERCOFAC Series",
    publisher = "Springer",
    pages = "111--120",
    editor = "M.V. Salvetti and Geurts, {Bernardus J.} and J. Meyers and P. Sagaut",
    booktitle = "Quality and Reliability of Large-Eddy Simulations II",

    }

    Pecenko, A & Kuerten, JGM 2011, A priori analysis of an isothermal, turbulent two-phase flow. in MV Salvetti, BJ Geurts, J Meyers & P Sagaut (eds), Quality and Reliability of Large-Eddy Simulations II. ERCOFAC Series, vol. 16, Springer, Dordrecht, pp. 111-120, Quality and Reliability of Large-Eddy Simulations II, QLES 2009, Pisa, Italy, 9/09/09. https://doi.org/10.1007/978-94-007-0231-8_10

    A priori analysis of an isothermal, turbulent two-phase flow. / Pecenko, Alessandro; Kuerten, Johannes G.M.

    Quality and Reliability of Large-Eddy Simulations II. ed. / M.V. Salvetti; Bernardus J. Geurts; J. Meyers; P. Sagaut. Dordrecht : Springer, 2011. p. 111-120 (ERCOFAC Series; Vol. 16).

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

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    AU - Kuerten, Johannes G.M.

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    PY - 2011

    Y1 - 2011

    N2 - A novel approach to the simulation of isothermal, turbulent two-phase (liquid/vapour) flow of one substance is presented. The two-phase flow is modeled with a “one-fluid" formulation by means of a diffuse-interface concept and of the frame-invariant Korteweg tensor of capillary stresses at the interface. A single system of compressible Navier-Stokes equations can be written for the whole flow domain, the fluid properties being described by continuous functions of the mass density. The Van der Waals equation of state accounts for the variation of pressure with density at a given value of temperature slightly below the critical isotherm. After description of the numerical method, results of the Direct Numerical Simulation of a classic benchmark problem are shown. Next, two-phase subgrid terms related to the nonlinear pressure and capillary terms are studied by means of an a priori analysis based on DNS results, and a subgrid model for these terms is proposed.

    AB - A novel approach to the simulation of isothermal, turbulent two-phase (liquid/vapour) flow of one substance is presented. The two-phase flow is modeled with a “one-fluid" formulation by means of a diffuse-interface concept and of the frame-invariant Korteweg tensor of capillary stresses at the interface. A single system of compressible Navier-Stokes equations can be written for the whole flow domain, the fluid properties being described by continuous functions of the mass density. The Van der Waals equation of state accounts for the variation of pressure with density at a given value of temperature slightly below the critical isotherm. After description of the numerical method, results of the Direct Numerical Simulation of a classic benchmark problem are shown. Next, two-phase subgrid terms related to the nonlinear pressure and capillary terms are studied by means of an a priori analysis based on DNS results, and a subgrid model for these terms is proposed.

    KW - IR-76080

    KW - EWI-19578

    KW - METIS-277533

    U2 - 10.1007/978-94-007-0231-8_10

    DO - 10.1007/978-94-007-0231-8_10

    M3 - Conference contribution

    SN - 978-94-007-0230-1

    T3 - ERCOFAC Series

    SP - 111

    EP - 120

    BT - Quality and Reliability of Large-Eddy Simulations II

    A2 - Salvetti, M.V.

    A2 - Geurts, Bernardus J.

    A2 - Meyers, J.

    A2 - Sagaut, P.

    PB - Springer

    CY - Dordrecht

    ER -

    Pecenko A, Kuerten JGM. A priori analysis of an isothermal, turbulent two-phase flow. In Salvetti MV, Geurts BJ, Meyers J, Sagaut P, editors, Quality and Reliability of Large-Eddy Simulations II. Dordrecht: Springer. 2011. p. 111-120. (ERCOFAC Series). https://doi.org/10.1007/978-94-007-0231-8_10