scholarly journals Comment on “Direct Numerical Simulation of the Turbulent Ekman Layer: Evaluation of Closure Models”

2014 ◽  
Vol 71 (5) ◽  
pp. 1893-1898 ◽  
Author(s):  
Juan Carlos Bergmann
2017 ◽  
Vol 139 (5) ◽  
Author(s):  
Lambert H. Fick ◽  
Elia Merzari ◽  
Yassin A. Hassan

Computational analyses of fluid flow through packed pebble bed domains using the Reynolds-averaged Navier–Stokes (RANS) framework have had limited success in the past. Because of a lack of high-fidelity experimental or computational data, optimization of Reynolds-averaged closure models for these geometries has not been extensively developed. In the present study, direct numerical simulation (DNS) was employed to develop a high-fidelity database that can be used for optimizing Reynolds-averaged closure models for pebble bed flows. A face-centered cubic (FCC) domain with periodic boundaries was used. Flow was simulated at a Reynolds number of 9308 and cross-verified by using available quasi-DNS data. During the simulations, low-frequency instability modes were observed that affected the stationary solution. These instabilities were investigated by using the method of proper orthogonal decomposition, and a correlation was found between the time-dependent asymmetry of the averaged velocity profile data and the behavior of the highest-energy eigenmodes. Finally, the effects of the domain size and the method of averaging were investigated to determine how these parameters influenced the stationary solution. A violation of the ergodicity assumption was observed.


2012 ◽  
Vol 69 (3) ◽  
pp. 1106-1117 ◽  
Author(s):  
Stuart Marlatt ◽  
Scott Waggy ◽  
Sedat Biringen

Abstract A direct numerical simulation (DNS) at a Reynolds number of 1000 was performed for the neutral atmospheric boundary layer (ABL) using the Ekman layer approximation. The DNS results were used to evaluate several closure approximations that model the turbulent stresses in the Reynolds averaged momentum equations. Two first-order closure equations proposed by O’Brien and by Large, McWilliams, and Doney were tested; both models approximate the eddy diffusivity as a function of height using cubic polynomials. Of these two models, the O’Brien model, which requires data both at the surface layer and at the top of the boundary layer, proved superior. The higher-order k–ɛ model also agreed well with DNS results and more accurately represented the eddy diffusivity in this rotational flow.


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