Research Papers: Fundamental Issues and Canonical Flows

Assessment of DES Models for Separated Flow From a Hump in a Turbulent Boundary Layer

[+] Author and Article Information
Daniel C. Lyons

VHCE York, Voith Hydro, Inc., York, PA 17405daniel.lyons@voith.com

Leonard J. Peltier1

 Bechtel National, Inc., Frederick, MD 21703ljpeltie@bechtel.com

Frank J. Zajaczkowski

The Applied Research Laboratory, The Pennsylvania State University, University Park, PA 16804fxz101@psu.edu

Eric G. Paterson

The Applied Research Laboratory, The Pennsylvania State University, University Park, PA 16802; Associate Professor Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802egp11@psu.edu

See http://cfdval2004.larc.nasa.gov/case3.html for code validation purposes.




Corresponding author.

J. Fluids Eng 131(11), 111203 (Oct 28, 2009) (9 pages) doi:10.1115/1.4000376 History: Received October 29, 2007; Revised September 20, 2009; Published October 28, 2009

Separated flow past a hump in a turbulent boundary layer is studied numerically using detached-eddy simulation (DES), zonal detached-eddy simulation (ZDES), delayed detached-eddy simulation (DDES), and Reynolds-averaged Navier–Stokes (RANS) modeling. The geometry is smooth so the separation point is a function of the flow solution. Comparisons to experimental data show that RANS with the Spalart–Allmaras turbulence model predicts the mean-field statistics well. The ZDES and DDES methods perform better than the DES formulation and are comparable to RANS in most statistics. Analyses motivate that modeled-stress depletion near the separation point contributes to differences observed in the DES variants. The order of accuracy of the flow solver ACUSOLVE is also documented.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Schematic of hump model used for CFD

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Figure 2

Full (above) and close-up views (below) of the computational grid

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Figure 3

Mean-velocity profiles near inflow (x/c=−2.1) for RANS, DES, ZDES, and DDES

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Figure 4

Streamlines and mesh for the Taylor–Green vortex

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Figure 5

Log plots of maximum error, εU, versus resolution for mesh study and time study for hexes (diamond) and wedges (triangle)

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Figure 6

LES computation Reτ=470 (solid line) compared to the DNS data of Moser (16)Reτ=590 (circles) for turbulent channel flow in near-wall region in plus coordinates

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Figure 7

ACUSOLVE LES data at Reτ=470 (solid lines) compared with the DNS data of Moser (16) at Reτ=590 (filled-in symbols) and Reτ=395 (open symbols (16). urms+ (circles), vrms+ (diamonds), and wrms+ (gradients).

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Figure 8

Mean-velocity field: contours of longitudinal velocity (U) and streamlines

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Figure 9

Mean U velocity profiles prior to separation (x/c=0.6) for RANS, DES, ZDES, and DDES

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Figure 10

Contour map of DES discriminator functions. The contour boundary separates the RANS (near boundary) and LES (separated zone) regions.

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Figure 11

Contour maps of the nondimensional, mean eddy viscosity

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Figure 12

Profiles of U (thick) and V (thin) for DES (long dash), ZDES (dash), DDES (solid), RANS (dash dot), and DES of Krishnan (9) (squares) at x/c locations of interest. Other symbols are the experimental results for U (circle) and V (diamond).

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Figure 13

Contours of resolved and subfilter turbulent kinetic energy

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Figure 14

Pressure and skin friction coefficient profiles for DES (long dash), ZDES (dash), DDES (solid), RANS (dash dot), experiment (circle), Biswas’ (10) LES pressure and skin friction coefficients (diamond), and DES pressure coefficient (square) of Krishnan (9)

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Figure 15

Plots of turbulent stress uu¯ for DES (long dash), ZDES (dash), DDES (solid), and experiment (open circles) at x/c=0.8, 0.9, 1.1, and 1.2



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