Langley Research Center Turbulence Modeling Resource

LES: 2-D Periodic Hill

Return to: Data from LES - Intro Page

The data on this page were provided by L. Temmerman, Y. Bentaleb, and M. Leschziner.

This LES case is for 2-D separating flow over periodic hills. This is a similar case to that computed using DNS with a compressible code, documented on the page: DNS: 2-D Compressible Periodic Hill; however this LES is at a higher Reynolds number. The LES was run using an incompressible code, and has been documented in several publications:

• Frohlich, J., Mellen, C. P., Rodi, W., Temmerman, L., and Leschziner, M. A., 2005. "Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions," J. Fluid Mech. 526, pp. 19-66, https://doi.org/10.1017/S0022112004002812.
• Temmerman, L., Leschziner, M. A., Mellen, C. P., and Frohlich, J., 2003. "Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of separated flow in a channel with streamwise periodic constrictions," Int. J. Heat and Fluid Flow 24, pp. 157-180, https://doi.org/10.1016/S0142-727X(02)00222-9.
• Jang, Y. J., Leschziner, M. A., Abe, K., and Temmerman, L., 2002. "Investigation of Anisotropy-Resolving Turbulence Models by Reference to Highly-Resolved LES Data for Separated Flow," Flow, Turbulence, and Combustion 69, pp. 161-203, https://doi.org/10.1023/A:1024764307706.
• Temmerman, L. and Leschziner, M. A., 2001. "Large Eddy Simulation of separated flow in a streamwise periodic channel construction," Int. Symp. on Turbulence and Shear Flow Phenomena, Stockholm, June 27-29.
• Mellen, C. P., Frohlich, J., and Rodi, W., 2000. "Large Eddy Simulation of the flow over periodic hills," 16th IMACS World Congress, Lausanne.

A subset of this LES data is also available on the ERCOFTAC Database Classic Collection, Case 81.

Some relevant information is given here, but the interested reader is referred to the above publications (or ERCOFTAC website) for complete details:

• Hill crest, h = 28 mm
• Hill crests are separated by L_x = 9h
• Channel height L_y = 3.035h
• Reynolds number (based on U_b and h) = 10595
• U_b is the bulk velocity at the crest of the first hill
• The flow is periodic in the streamwise direction
• Separation is near x=0.2h and reattachment is near 4.6-4.7h

Long-time averaged LES data are provided below (on a grid normalized to hill height h=1). These results are from a grid with approximately 4.7 million grid cells, covering a spanwise extent of 4.5 h with 186 cells in the spanwise direction. Additional details about the LES grid and methodology can be found in the above references.

• Hill geometry definition
• README_gridpoints_hill.txt
• Grid points in x-y plane, gzipped file hill_grid.dat.gz (0.2 MB)
   
• README_p_vel_and_turb_hill.txt
• Average pressures, velocities & turbulence quantities, gzipped file hill_LES_avgresults.dat.gz (1.7 MB)
   
• README_budgets_hill.txt
• Budget terms, gzipped file hill_LES_budgets_all.dat.gz (7.8 MB)

Note: related experimental data and different LES and DNS results for the 2-D hill are available from the ERCOFTAC Knowledge Base Wiki, case number UFR3-30.
 
 

Auxiliary postprocessed information (not part of the original LES data set from Temmerman et al):

• README_vel_derivs_hill.txt
• Postprocessed velocity derivatives, gzipped file hill_LES_vel_derivs-derived.dat.gz (1.0 MB)
• Approximate wall Cf from LES (digitized)

Return to: Data from LES - Intro Page

Privacy Act Statement

Accessibility Statement

Responsible NASA Official: Ethan Vogel
Page Curator: Clark Pederson
Last Updated: 11/05/2021