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Technical Brief

A Recommended Correction to the kTkLω Transition-Sensitive Eddy-Viscosity Model

[+] Author and Article Information
Maurin Lopez

Center for Advanced Vehicular Systems,
Mississippi State University,
Mississippi State, MS 39762
e-mail: maurin@cavs.msstate.edu

D. Keith Walters

Department of Mechanical Engineering,
Center for Advanced Vehicular Systems,
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

A physics-based modification to the kTkLω 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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Figures

Grahic Jump Location
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

Grahic Jump Location
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

Grahic Jump Location
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

Grahic Jump Location
Fig. 4

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

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