An Eddy-Resolving Reynolds Stress Transport Model for Unsteady Flow Computations

Author(s):  
R. Maduta ◽  
S. Jakirlic
2009 ◽  
Vol 2009 ◽  
pp. 1-14 ◽  
Author(s):  
S. Mimouni ◽  
F. Archambeau ◽  
M. Boucker ◽  
J. Laviéville ◽  
C. Morel

In our work in 2008, we evaluated the aptitude of the code Neptune_CFD to reproduce the incidence of a structure topped by vanes on a boiling layer, within the framework of the Neptune project. The objective was to reproduce the main effects of the spacer grids. The turbulence of the liquid phase was modeled by a first-orderK-εmodel. We show in this paper that this model is unable to describe the turbulence of rotating flows, in accordance with the theory. The objective of this paper is to improve the turbulence modeling of the liquid phase by a second turbulence model based on aRij-εapproach. Results obtained on typical single-phase cases highlight the improvement of the prediction for all computed values. We tested the turbulence modelRij-εimplemented in the code versus typical adiabatic two-phase flow experiments. We check that the simulations with the Reynolds stress transport model (RSTM) give satisfactory results in a simple geometry as compared to aK-εmodel: this point is crucial before calculating rod bundle geometries where theK-εmodel may fail.


Author(s):  
Asif Hoda ◽  
Sumanta Acharya ◽  
Mayank Tyagi

Predictions of a film coolant jet in a crossflow for turbine blade cooling applications have traditionally employed k-ε and k-ω closure models of turbulence. An evaluation of several such models (Hoda and Acharya, 1999) revealed that the existing two equation models fail to resolve the highly complex flow field in the vicinity of the jet created by the jet-crossflow interaction. The eddy viscosity approximation used to obtain closure for the Reynolds stress terms in the time-averaged Navier Stokes equation is unable to represent the anisotropy of the flow and does not model the wake region created behind the jet adequately. A more accurate prediction of the stress field can be obtained by the Reynolds stress transport (RST) equations, which represent a higher level of closure for the turbulent stresses. In this paper, two formulations of the RST model have been employed to predict the flow behind a row of jets discharging normally into a crossflow. The flow field predictions and turbulent statistics are compared with the experimental data of Ajersch et al. (1995) and with k-ε predictions using the model of Lam and Bremhorst (1981). Predictions using Large Eddy Simulations (LES) are also presented to show the predictive capability of LES.


1995 ◽  
Vol 117 (1) ◽  
pp. 50-57 ◽  
Author(s):  
Lars Davidson

A second-moment Reynolds Stress Transport Model (RSTM) is used in the present work for computing the flow around a two-dimensional airfoil. An incompressible SIMPLEC code is used, employing a non-staggered grid arrangement. A third-order QUICK scheme is used for the momentum equations, and a second-order, bounded MUSCL scheme is used for the turbulent quantities. As the RSTM is valid only for fully turbulent flow, an eddy viscosity, one-equation model is used near the wall. The two models are matched along a preselected grid line in the fully turbulent region. Detailed comparisons between calculations and experiments are presented for an angle of attack of α = 13.3 deg. The RSTM predictions agree well with the experiments, and approaching stall is predicted for α = 17 deg, which agrees well with experimental data. The results obtained with a two-layer κ – ∈ model show poor agreement with experimental data; the velocity profiles on the suction side of the airfoil show no tendency of separation, and no tendency of stall is predicted.


Author(s):  
Emmanuel Guilmineau ◽  
Patrick Queutey

The control of turbulent separated flow over the backward-facing step is numerically investigated with various turbulence models ranging from one equation Spalart & Allmaras (1992), two-equation K-ω closures (Wilcox, 1988; Menter, 1993) to a full Reynolds stress transport model based on the Reynolds stress transport Rij-ω model (Deng & Visonneau, 1999). Results are compared with experimental data of Yoshioka et al. (1999) where the flow control was monitoring with alternating suction/injection at the step height. It is shown that the effect of that local perturbation is better represented using the Rij-ω turbulence model.


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