Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt 2001 1 Test Case 9.2: Flow over a Series of Hills Presentation of Geometry.

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Presentation transcript:

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Test Case 9.2: Flow over a Series of Hills Presentation of Geometry and Flow Jochen Fröhlich Institut für Hydromechanik, Universität Karlsruhe Germany Joint work: C.P. Mellen, W.Rodi IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt, 2001

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt I Motivation Geometry

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt EU-Project LESFOIL: LES of flow around the A - airfoil transition turbulent boundary layer turbulent separation  Desire for test case - just this feature - cheaper than airfoil (LES) recirculation

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Test case requirements Massive, turbulent separation Separation not fixed by geometry (smooth surface) 2d geometry Realistic Reynolds number Cheap to compute Reference data available

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt D Hill Flow: [Almeida et al.93] 4 th ERCOFTAC/IAHR ’95 Single hill: Inflow condition required yields long domain (unsteady signal for LES) Series of hills: Periodicity not fully achieved in experiments Exp. data can not be used #7 … …

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt D Hill Flow: [Almeida et al.93] Both: - Almost square channel => secondary flow !? - Sidewalls expensive to include - Channel quite high => expensive = hill Back view Consecutive hills are close

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt New Test Case Geometry [MFR00] lower Re=> fine-grid LES is feasible, Re-indep. Re with bulk velocity=> easier to impose & to compare Conserve shape of hill=> experience, easily accessible Streamwise periodicity => no doubt about inflow conditions Larger distance between hills=> Reattachment point is sensitive => more Relaxation before next separ. => Lx/Ly ~ 3 as in plane channel Spanwise homogeneity => periodic conditions in LES => truly 2D for RANS No experimental data => use fine-grid LES as reference

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt II Flow

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Highly – resolved LES [MFR00] Grid Ni x Nj x Nk = 196 x 128 x 186 (inner cells) by elliptic eq. Lz =4.5h Re_h = Bottom: no-slip top: wall function SGS: Dynamic Smagorinsky Averaging in span & time (T=55 Lx/Ub) 96 Proc. on IBM-SP, h Similar computation by [Temmerman, Leschziner 01]

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Reference simulations x/h = 2

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Steamwise velocity

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Average flow | | and Streamlines Resolved kinetic energy

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Reynolds stresses

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Pressure p -

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Flow structure K.–H. vortices Helical pairing Görtler vortices

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Pressure surface

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Pressure fluctuation

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Near – wall u-velocity

Fröhlich 9th IAHR / ERCOFTAC Workshop on Refined Turbulence Modelling, Darmstadt Experiences good streamwise discretization near crest of hill required Hill is flat near crest w 