Turbulence statistics in a spectral element code: a toolbox for High-Fidelity Simulations

Technical Report · Wed Feb 01 00:00:00 EST 2017

DOI:https://doi.org/10.2172/1349052· OSTI ID:1349052

Vinuesa, Ricardo ^[1]; Fick, Lambert ^[2]; Negi, Prabal ^[1]; Marin, Oana ^[2]; Merzari, Elia ^[2]; Schlatter, Phillip ^[1]

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1. KTH Mechanics, Stockholm (Sweden); Swedish e-Science Research Center (SeRC), Stockholm (Sweden)
2. Argonne National Lab. (ANL), Argonne, IL (United States)

In the present document we describe a toolbox for the spectral-element code Nek5000, aimed at computing turbulence statistics. The toolbox is presented for a small test case, namely a square duct with L_x = 2h, L_y = 2h and L_z = 4h, where x, y and z are the horizontal, vertical and streamwise directions, respectively. The number of elements in the xy-plane is 16 X 16 = 256, and the number of elements in z is 4, leading to a total of 1,204 spectral elements. A polynomial order of N = 5 is chosen, and the mesh is generated using the Nek5000 tool genbox. The toolbox presented here allows to compute mean-velocity components, the Reynolds-stress tensor as well as turbulent kinetic energy (TKE) and Reynolds-stress budgets. Note that the present toolbox allows to compute turbulence statistics in turbulent flows with one homogeneous direction (where the statistics are based on time-averaging as well as averaging in the homogeneous direction), as well as in fully three-dimensional flows (with no periodic directions, where only time-averaging is considered).

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC02-06CH11357
• OSTI ID: 1349052
• Report Number(s): ANL/MCS-TM-367; 133610
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING