RAS one-equation turbulence model with non-singular eddy-viscosity coefficient

M. M. Rahman; R. K. Agarwal; T. Siikonen

doi:10.1080/10618562.2016.1164847

RAS one-equation turbulence model with non-singular eddy-viscosity coefficient

M. M. Rahman
, R. K. Agarwal
, T. Siikonen

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

ABSTRACT: A simplified consistency formulation for P_k/ε (production to dissipation ratio) is devised to obtain a non-singular C_μ (coefficient of eddy-viscosity) in the explicit algebraic Reynolds stress model of Gatski and Speziale. The coefficient C_μ depends non-linearly on both rotational/irrotational strains and is used in the framework of an improved RAS (Rahman–Agarwal–Siikonen) one-equation turbulence model to calculate a few well-documented turbulent flows, yielding predictions in good agreement with the direct numerical simulation and experimental data. The strain-dependent C_μ assists the RAS model in constructing the coefficients and functions such as to benefit complex flows with non-equilibrium turbulence. Comparisons with the Spalart–Allmaras one-equation model and the shear stress transport k-ω model demonstrate that C_μ improves the response of RAS model to non-equilibrium effects.

Original language	English
Pages (from-to)	89-106
Number of pages	18
Journal	International Journal of Computational Fluid Dynamics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1080/10618562.2016.1164847
State	Published - Feb 7 2016

Keywords

Production-to-dissipation ratio
eddy-viscosity coefficient
non-equilibrium flow
one-equation model

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10.1080/10618562.2016.1164847

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title = "RAS one-equation turbulence model with non-singular eddy-viscosity coefficient",

abstract = "ABSTRACT: A simplified consistency formulation for Pk/ε (production to dissipation ratio) is devised to obtain a non-singular Cμ (coefficient of eddy-viscosity) in the explicit algebraic Reynolds stress model of Gatski and Speziale. The coefficient Cμ depends non-linearly on both rotational/irrotational strains and is used in the framework of an improved RAS (Rahman–Agarwal–Siikonen) one-equation turbulence model to calculate a few well-documented turbulent flows, yielding predictions in good agreement with the direct numerical simulation and experimental data. The strain-dependent Cμ assists the RAS model in constructing the coefficients and functions such as to benefit complex flows with non-equilibrium turbulence. Comparisons with the Spalart–Allmaras one-equation model and the shear stress transport k-ω model demonstrate that Cμ improves the response of RAS model to non-equilibrium effects.",

keywords = "Production-to-dissipation ratio, eddy-viscosity coefficient, non-equilibrium flow, one-equation model",

author = "Rahman, \{M. M.\} and Agarwal, \{R. K.\} and T. Siikonen",

note = "Publisher Copyright: {\textcopyright} 2016 Informa UK Limited, trading as Taylor \& Francis Group.",

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doi = "10.1080/10618562.2016.1164847",

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TY - JOUR

T1 - RAS one-equation turbulence model with non-singular eddy-viscosity coefficient

AU - Rahman, M. M.

AU - Agarwal, R. K.

AU - Siikonen, T.

PY - 2016/2/7

Y1 - 2016/2/7

N2 - ABSTRACT: A simplified consistency formulation for Pk/ε (production to dissipation ratio) is devised to obtain a non-singular Cμ (coefficient of eddy-viscosity) in the explicit algebraic Reynolds stress model of Gatski and Speziale. The coefficient Cμ depends non-linearly on both rotational/irrotational strains and is used in the framework of an improved RAS (Rahman–Agarwal–Siikonen) one-equation turbulence model to calculate a few well-documented turbulent flows, yielding predictions in good agreement with the direct numerical simulation and experimental data. The strain-dependent Cμ assists the RAS model in constructing the coefficients and functions such as to benefit complex flows with non-equilibrium turbulence. Comparisons with the Spalart–Allmaras one-equation model and the shear stress transport k-ω model demonstrate that Cμ improves the response of RAS model to non-equilibrium effects.

AB - ABSTRACT: A simplified consistency formulation for Pk/ε (production to dissipation ratio) is devised to obtain a non-singular Cμ (coefficient of eddy-viscosity) in the explicit algebraic Reynolds stress model of Gatski and Speziale. The coefficient Cμ depends non-linearly on both rotational/irrotational strains and is used in the framework of an improved RAS (Rahman–Agarwal–Siikonen) one-equation turbulence model to calculate a few well-documented turbulent flows, yielding predictions in good agreement with the direct numerical simulation and experimental data. The strain-dependent Cμ assists the RAS model in constructing the coefficients and functions such as to benefit complex flows with non-equilibrium turbulence. Comparisons with the Spalart–Allmaras one-equation model and the shear stress transport k-ω model demonstrate that Cμ improves the response of RAS model to non-equilibrium effects.

KW - Production-to-dissipation ratio

KW - eddy-viscosity coefficient

KW - non-equilibrium flow

KW - one-equation model

UR - https://www.scopus.com/pages/publications/84969130035

U2 - 10.1080/10618562.2016.1164847

DO - 10.1080/10618562.2016.1164847

M3 - Article

AN - SCOPUS:84969130035

SN - 1061-8562

VL - 30

SP - 89

EP - 106

JO - International Journal of Computational Fluid Dynamics

JF - International Journal of Computational Fluid Dynamics

IS - 2

ER -

RAS one-equation turbulence model with non-singular eddy-viscosity coefficient

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Keywords

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