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).
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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.",
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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

TY - GEN

T1 - A priori analysis of an isothermal, turbulent two-phase flow

AU - Pecenko, Alessandro

AU - Kuerten, Johannes G.M.

N1 - eemcs-eprint-19578

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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.

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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