Title: Flow over periodic hills - Numerical and experimental study in a wide range of Reynolds numbers
Authors: Breuer, Michael  
Peller, Nikolaus
Rapp, Christoph
Manhart, Michael
Language: eng
Subject (DDC): DDC - Dewey Decimal Classification::000 Informatik, Wissen, Systeme
DDC - Dewey Decimal Classification::500 Naturwissenschaften
DDC - Dewey Decimal Classification::600 Technik
Issue Date: Feb-2009
Publisher: Elsevier
Document Type: Article
Journal / Series / Working Paper (HSU): Computers & fluids : an international journal 
Volume: 38
Issue: 2
Page Start: 433
Page End: 457
Publisher Place: Amsterdam
The paper presents a detailed analysis of the flow over smoothly contoured constrictions in a plane channel. This configuration represents a generic case of a flow separating from a curved surface with well-defined flow conditions which makes it especially suited as benchmark case for computing separated flows. The hills constrict the channel by about one third of its height and are spaced at a distance of 9 hill heights. This setup follows the investigation of Fröhlich et al. [Fröhlich J, Mellen CP, Rodi W, Temmerman L, Leschziner MA. Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions. J Fluid Mech 2005;526:19-66] and complements it by numerical and experimental data over a wide range of Reynolds numbers. We present results predicted by direct numerical simulations (DNS) and highly resolved large-eddy simulations (LES) achieved by two completely independent codes. Furthermore, these numerical results are supported by new experimental data from PIV measurements. The configuration in the numerical study uses periodic boundary conditions in streamwise and spanwise direction. In the experimental setup periodicity is achieved by an array of 10 hills in streamwise direction and a large spanwise extent of the channel. The assumption of periodicity in the experiment is checked by the pressure drop between consecutive hill tops and PIV measurements. The focus of this study is twofold: (i) Numerical and experimental data are presented which can be referred to as reference data for this widely used standard test case. Physical peculiarities and new findings of the case under consideration are described and confirmed independently by different codes and experimental data. Mean velocity and pressure distributions, Reynolds stresses, anisotropy-invariant maps, and instantaneous quantities are shown. (ii) Extending previous studies the flow over periodic hills is investigated in the wide range of Reynolds numbers covering 100 ≤ Re ≤ 10, 595. Starting at very low Re the evolution and existence of physical phenomena such as a tiny recirculation region at the hill crest are documented. The limit to steady laminar flow as well as the transition to a fully turbulent flow stage are presented. For 700 ≤ Re ≤ 10, 595 turbulent statistics are analyzed in detail. Carefully, undertaken DNS and LES predictions as well as cross-checking between different numerical and experimental results build the framework for physical investigations on the flow behavior. New interesting features of the flow were found. © 2008 Elsevier Ltd. All rights reserved.
Organization Units (connected with the publication): Universität Erlangen-Nürnberg
ISSN: 00457930
Publisher DOI: 10.1016/j.compfluid.2008.05.002
Appears in Collections:Publications of the HSU Researchers (before HSU)

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