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Technical Brief

# A Recommended Correction to the $kT−kL−ω$ Transition-Sensitive Eddy-Viscosity Model

[+] Author and Article Information
Maurin Lopez

Mississippi State University,
Mississippi State, MS 39762
e-mail: maurin@cavs.msstate.edu

D. Keith Walters

Department of Mechanical Engineering,
Mississippi State University,
Mississippi State, MS 39762
e-mail: walters@me.msstate.edu

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 15, 2014; final manuscript received September 23, 2016; published online December 7, 2016. Assoc. Editor: Zhongquan Charlie Zheng.

J. Fluids Eng 139(2), 024501 (Dec 07, 2016) (5 pages) Paper No: FE-14-1451; doi: 10.1115/1.4034875 History: Received August 15, 2014; Revised September 23, 2016

## Abstract

A physics-based modification to the $kT−kL−ω$ transition-sensitive eddy-viscosity model is presented. The modification corrects an anomaly related to the physical mechanism of production of laminar kinetic energy for regions far from the wall in fully turbulent flows, by limiting the production of natural modes in the large-scale eddy-viscosity term by a rescale of the wall-limited turbulent length scale. Round jet and backward facing step test cases are used to reveal the relevant issue and to demonstrate that the new modification successfully addresses the problem.

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## References

Dhawan, S. , and Narasimha, R. , 1958, “ Some Properties of Boundary Layer During the Transition From Laminar to Turbulent Flow Motion,” J. Fluid Mech., 3(04), pp. 418–436.
Abu-Ghannam, B. J. , and Shaw, R. , 1980, “ Natural Transition of Boundary Layers: The Effects of Turbulence, Pressure Gradient, and Flow History,” J. Mech. Eng. Sci., 22(5), pp. 213–228.
Menter, F. R. , Langtry, R. B. , Likki, S. R. , Suzen, Y. B. , Huang, P. G. , and Volker, S. A. , 2006, “ Correlation-Based Transition Model Using Local Variables—Part I: Model Formulation,” ASME J. Turbomach., 128(3), pp. 413–422.
Langtry, R. B. , and Menter, F. R. , 2005, “ Transition Modeling for General CFD Applications in Aeronautics,” AIAA Paper No. 2005-522.
Mayle, R. E. , 1991, “ The Role of Laminar-Turbulent Transition in Gas Turbine Engines,” ASME J. Turbomach., 113(4), pp. 509–537.
Walters, D. K. , and Leylek, J. H. , 2004, “ A New Model for Boundary Layer Transition Using a Single-Point RANS Approach,” ASME J. Turbomach., 126(1), pp. 193–202.
Walters, D. K. , and Cokljat, D. , 2008, “ A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier-Stokes Simulations of Transitional Flow,” ASME J. Fluids Eng., 130(12), p. 121401.
Suzen, Y. B. , and Huang, P. G. , 2000, “ Modeling of Flow Transition Using an Intermittency Transport Equation,” ASME J. Fluids Eng., 122(2), pp. 273–284.
Steelant, J. , and Dick, E. , 2001, “ Modeling of Laminar-Turbulent Transition for High Freestream Turbulence,” ASME J. Fluids Eng., 123(1), pp. 22–30.
Wang, C. , and Perot, B. , 2002, “ Prediction of Turbulent Transition in Boundary Layers Using the Turbulent Potential Model,” J. Turbul., 3, p. N22.
Shur, M. L. , Strelets, M. K. , Travin, A. K. , and Spalart, P. R. , 2000, “ Turbulence Modeling in Rotating and Curved Channels: Assessing the Spalart-Shur Correction,” AIAA J., 38(5), pp. 784–792.
York, W. D. , Walters, D. K. , and Leylek, J. H. , 2009, “ A Simple and Robust Linear Eddy-Viscosity Formulation for Curved and Rotating Flows,” Int. J. Numer. Methods Heat Fluid Flow, 19(6), pp. 745–776.
Dhakal, T. P. , and Walters, D. K. , 2011, “ A Three-Equation Variant of the SST k-Omega Model Sensitized to Rotation and Curvature Effects,” ASME J. Fluids Eng., 133(11), p. 111201.
Ghahremanian, S. , and Moshfegh, B. , 2014, “ Evaluation of RANS Models in Predicting Low Reynolds, Free, Turbulent Round Jet,” ASME J. Fluids Eng., 136(1), p. 011201.
Menter, F. R. , 1992, “ Improved Two-Equation kω Turbulence Models for Aerodynamic Flows,” Ames Research Center, Moffett Field, Sunnyvale, CA, NASA Technical Memorandum No. 103975.
Chitta, V. , Dhakal, T. P. , and Walters, D. K. , 2015, “ Sensitization of a Transition-Sensitive Linear Eddy-Viscosity Model to Rotation and Curvature Effects,” ASME J. Fluids Eng., 137(3), p. 031207.
Turner, C. , 2012, “ Laminar Kinetic Energy Modeling for Improved Laminar-Turbulent Transition Prediction,” Ph.D. dissertation, School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester, UK.
Juntasaro, E. , and Ngiamsoongnim, K. , 2014, “ A New Physics-Based y-kl Transition Model,” Int. J. Comput. Fluid Dyn., 28(5), pp. 204–218.
Alam, M. F. , Walters, D. K. , and Thompson, D. S. , 2013, “ A Transition-Sensitive Hybrid RANS/LES Modeling Methodology for CFD Applications,” AIAA Paper No. 2013-0995.
Furst, J. , 2013, “ Numerical Simulations of Transitional Flows With Laminar Kinetic Energy,” Eng. Mech., 20(5), pp. 379–388.
ANSYS, 2011, “ ANSYS FLUENT User's Guide: Release 14.0,” Ansys, Inc., Canonsburg, PA.
Patankar, S. V. , and Spalding, D. B. , 1972, “ A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows,” Int. J. Heat Mass Transfer, 15(10), pp. 1787–1806.
Heschl, C. , Inthavong, K. , Sanz, W. , and Tu, J. , 2013, “ Evaluation and Improvements of RANS Turbulence Models for Linear Diffuse Flows,” J. Comput. Fluids, 71, pp. 272–282.
Hussein, H. J. , Capp, S. P. , and George, W. K. , 1994, “ Velocity Measurements in a High-Reynolds Number, Momentum-Conserving, Axisymmetric, Turbulent Jet,” J. Fluid Mech., 258, pp. 31–75.
Driver, D. M. , and Seegmiller, H. L. , 1985, “ Features of a Reattaching Turbulent Shear Layer in Divergent Channel Flow,” AIAA J., 23(2), pp. 163–171.

## Figures

Fig. 1

(a) Illustrative sketch of the computational domain, including coordinates, for the round jet flow test case and (b) contours of streamwise velocity computed with the modified kT−kL−ω model

Fig. 2

Contours of laminar kinetic energy (kL) normalized by U∞2 : (a) original model (with typographical errors corrected) and (b) model with modified large-scale eddy-viscosity term

Fig. 3

Contours of production of laminar kinetic energy for the backward facing step: (a) original model (with typographical errors corrected) and (b) model with modified large-scale eddy viscosity

Fig. 4

(a) Backward facing step mesh and evaluation plane and (b) laminar kinetic energy computed at the evaluation plane

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