Four-equation models for Rayleigh-Taylor mixing

Research output: Contribution to conferenceAbstract

Abstract

An investigation of single fluid models for Rayleigh-Taylor mixing is presented with reference to high-resolution implicit Large Eddy Simulations (iLES). The study primarily focuses on a new four-equation K-L-α-b, which includes an equation for the density-specific volume covariance b, and the Besnard-Harlow-Rauenzahn model (BHR-2) [1]. Furthermore, comparisons are presented with the two-equation K-L [2, 3]. All models are implemented in the same numerical framework to minimize the computational uncertainty. The flow physics predicted by the turbulence models is investigated for canonical Rayleigh-Taylor mixing, and for the tilted-rig problem. Model complexity is increased in a gradual and systematic manner by introducing either additional variables or terms in order to identify the advantages (and disadvantages) offered. The two-equation K-L model is used as the starting point. The turbulence models considered here invoke the Boussinesq approximation for the Reynolds stresses aiming at obtaining a detailed understanding of the capabilities and limitations of simpler models before studying more complex models in the framework of second moment closures. The effects of the various modeled terms is discussed and important conclusions for the accuracy and the limitations of the four equation models are drawn. Several modifications that increase the accuracy and numerical stability of the models are also proposed.

Conference

Conference16th International Workshop on the Physics of Compressible Turbulent Mixing
Abbreviated titleIWPCTM
CountryFrance
CityMarseille
Period15/07/1820/07/18
Internet address

Fingerprint

Turbulence models
Density (specific gravity)
Convergence of numerical methods
Large eddy simulation
Physics
Fluids
Uncertainty

Keywords

  • single fluid models
  • Large Eddy Simulations
  • modified species turbulent diffusion term
  • MSTD

Cite this

Kokkinakis, I. W., Drikakis, D., & Youngs, D. L. (2018). Four-equation models for Rayleigh-Taylor mixing. 14. Abstract from 16th International Workshop on the Physics of Compressible Turbulent Mixing, Marseille, France.
Kokkinakis, I. W. ; Drikakis, D. ; Youngs, D. L. / Four-equation models for Rayleigh-Taylor mixing. Abstract from 16th International Workshop on the Physics of Compressible Turbulent Mixing, Marseille, France.1 p.
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abstract = "An investigation of single fluid models for Rayleigh-Taylor mixing is presented with reference to high-resolution implicit Large Eddy Simulations (iLES). The study primarily focuses on a new four-equation K-L-α-b, which includes an equation for the density-specific volume covariance b, and the Besnard-Harlow-Rauenzahn model (BHR-2) [1]. Furthermore, comparisons are presented with the two-equation K-L [2, 3]. All models are implemented in the same numerical framework to minimize the computational uncertainty. The flow physics predicted by the turbulence models is investigated for canonical Rayleigh-Taylor mixing, and for the tilted-rig problem. Model complexity is increased in a gradual and systematic manner by introducing either additional variables or terms in order to identify the advantages (and disadvantages) offered. The two-equation K-L model is used as the starting point. The turbulence models considered here invoke the Boussinesq approximation for the Reynolds stresses aiming at obtaining a detailed understanding of the capabilities and limitations of simpler models before studying more complex models in the framework of second moment closures. The effects of the various modeled terms is discussed and important conclusions for the accuracy and the limitations of the four equation models are drawn. Several modifications that increase the accuracy and numerical stability of the models are also proposed.",
keywords = "single fluid models, Large Eddy Simulations, modified species turbulent diffusion term, MSTD",
author = "Kokkinakis, {I. W.} and D. Drikakis and Youngs, {D. L.}",
year = "2018",
month = "7",
day = "15",
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Kokkinakis, IW, Drikakis, D & Youngs, DL 2018, 'Four-equation models for Rayleigh-Taylor mixing' 16th International Workshop on the Physics of Compressible Turbulent Mixing, Marseille, France, 15/07/18 - 20/07/18, pp. 14.

Four-equation models for Rayleigh-Taylor mixing. / Kokkinakis, I. W.; Drikakis, D.; Youngs, D. L.

2018. 14 Abstract from 16th International Workshop on the Physics of Compressible Turbulent Mixing, Marseille, France.

Research output: Contribution to conferenceAbstract

TY - CONF

T1 - Four-equation models for Rayleigh-Taylor mixing

AU - Kokkinakis, I. W.

AU - Drikakis, D.

AU - Youngs, D. L.

PY - 2018/7/15

Y1 - 2018/7/15

N2 - An investigation of single fluid models for Rayleigh-Taylor mixing is presented with reference to high-resolution implicit Large Eddy Simulations (iLES). The study primarily focuses on a new four-equation K-L-α-b, which includes an equation for the density-specific volume covariance b, and the Besnard-Harlow-Rauenzahn model (BHR-2) [1]. Furthermore, comparisons are presented with the two-equation K-L [2, 3]. All models are implemented in the same numerical framework to minimize the computational uncertainty. The flow physics predicted by the turbulence models is investigated for canonical Rayleigh-Taylor mixing, and for the tilted-rig problem. Model complexity is increased in a gradual and systematic manner by introducing either additional variables or terms in order to identify the advantages (and disadvantages) offered. The two-equation K-L model is used as the starting point. The turbulence models considered here invoke the Boussinesq approximation for the Reynolds stresses aiming at obtaining a detailed understanding of the capabilities and limitations of simpler models before studying more complex models in the framework of second moment closures. The effects of the various modeled terms is discussed and important conclusions for the accuracy and the limitations of the four equation models are drawn. Several modifications that increase the accuracy and numerical stability of the models are also proposed.

AB - An investigation of single fluid models for Rayleigh-Taylor mixing is presented with reference to high-resolution implicit Large Eddy Simulations (iLES). The study primarily focuses on a new four-equation K-L-α-b, which includes an equation for the density-specific volume covariance b, and the Besnard-Harlow-Rauenzahn model (BHR-2) [1]. Furthermore, comparisons are presented with the two-equation K-L [2, 3]. All models are implemented in the same numerical framework to minimize the computational uncertainty. The flow physics predicted by the turbulence models is investigated for canonical Rayleigh-Taylor mixing, and for the tilted-rig problem. Model complexity is increased in a gradual and systematic manner by introducing either additional variables or terms in order to identify the advantages (and disadvantages) offered. The two-equation K-L model is used as the starting point. The turbulence models considered here invoke the Boussinesq approximation for the Reynolds stresses aiming at obtaining a detailed understanding of the capabilities and limitations of simpler models before studying more complex models in the framework of second moment closures. The effects of the various modeled terms is discussed and important conclusions for the accuracy and the limitations of the four equation models are drawn. Several modifications that increase the accuracy and numerical stability of the models are also proposed.

KW - single fluid models

KW - Large Eddy Simulations

KW - modified species turbulent diffusion term

KW - MSTD

M3 - Abstract

SP - 14

ER -

Kokkinakis IW, Drikakis D, Youngs DL. Four-equation models for Rayleigh-Taylor mixing. 2018. Abstract from 16th International Workshop on the Physics of Compressible Turbulent Mixing, Marseille, France.