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WCRR, Sydney, November 22nd-25th, 2013 Comparison between CFD and Wind-Tunnel experiment for slender bodies of aspect-ratio O(1) in the presence/absence of cross-wind Keith Weinman, Uwe Fey, Ralf Deiterding, Moritz Fragner, Sigrid Loose, and Claus Wagner DLR Göttingen Institute of Aerodynamics and Flow Technology WCRR, Sydney, 22nd-25th November, 2013, Keith Weinman, Slide 1 Contents o Motivation. o Preliminary objectives of the work. o Overview of experimental and numerical facilities used. o CFD, open geometry: comparisons at Re=[250,450]x103, β=0°. o CFD, tunnel geometry: comparisons at Re=450x103, β=30°. o What have we learned? 2 Motivation: Side-wind stability requirements for Trains Wind effects can be correlated with train derailment incidents (i.e. Simes,T, “A blow to train operations: Can strong winds cause derailment”, Int. Rail Safety Conference Melbourne, 2011). Probability of wind-induced derailment increases with: -- gusting side winds, -- train speed, -- area profile of vehicle normal to wind direction, -- a reduction of vehicle mass. Loongana,WA(2008) New rail vehicle designs must pass through a certification process, described in various national standards: EN 14067-6, RIL 807.0401-0449 For risk assessment these standards require an understanding of the vehicle aerodynamics. 3 Estimating aerodynamic loads on vehicles -Fz Wind Ril 807.0401-807.0449 - three pronged analysis of vehicle kinematic behaviour to assess cross wind risk. (Naumann et al,“Calculation of characteristic wind curves for cross wind investigation“) Fy 1.Determine vehicle cross-wind stability. Q(t) M A M R fs MA : aerodynamic moment. MR : restoring moment due to vehicle mass on straight track. CMx(Lee) fs : calibration factor .. 0(1) M R mgbA 2. Evaluate vehicle response to external forcing neglecting dynamic effects (springs, dampers etc). Wind loads determined by aerodynamic coefficients and wind speed use wind tunnel with scaled model to derive characteristic wind curves (CWC). 3. Multi-body simulation to calculate CWC including dynamic effects of the vehicle. 4 Long term goals of the work. Investigate flow topology (Oil flow, PIV, TSP). Identification of flow features that influence vehicle aerodynamic loads (i.e. attached vortices, laminar-turbulent transition). Comparison of computed model aerodynamic loads against force balance measurements in laboratory reference frame [RIL 807.0401] over Reynolds number range [0.25, 0.35,0.45] Mio, yaw angle range β=[0,…,30]o. Identification of most appropriate numerical modeling approach (in terms of agreement with experiment, numerical stability on typical meshes, and cost). 5 Side Wind facility at Göttingen (SWG) Technical Details Closed Loop facility Cross-section: 2.4 m x 1.6 m 0.5 Mw Fan with Umax= 65 m/s TI < 0.22 % Ubulk continuously adapted to match target Reynolds number due to variations in temperature. dTt/dt ≈ 7° C/min @ Re = 450000 dTo/dt ≈ 1° C/min @ Re = 450000 Force/moment measurement with 6 component balance. Splitter plate to avoid contamination from tunnel Floor boundary layer. Atmospheric pressure/temperature 1:25 scale (Remax=0.5 Mio) 6 Estimation of aerodynamic loads: Coordinate System Xo=(0,0,0) 7 Side Wind facility at Göttingen (SWG) : Visualization Methods Particle Image Velocimetry[1][2] Temperature Sensitive Paint[3][4] Velocity field computed by cross-correlation of time-separated particle images. Luminescent molecular probe which measures surface temperature differences produced by convective heat transfer. Oil Flow Visualisation Flow patterns created by viscous shear forces acting on model surface. References [1] Loose et al., „Optical measurement techniques for high Reynolds number train investigations“, Experiments in Fluids, 40, 643-653, 2006 [2] Haff et al., „Wind Tunnel Experiments with a high speed train model subject to cross-wind conditions“, Proccedings of the first international conference on Railway Technology, J.Pombo (Editor), Civil-Comp press, Stirlingshire, Scotland [3] Tropea et al. [Ed.], Springer Handbook of Experimental Fluid Mechanics, Chap 7.4: „Transition detection by Temperature- Sensitive Paint“, Springer, Heidelberg, 2007 [4] Fey et al.,“Investigation of Reynolds number effects in high-speed train wind tunnel testing using temperature-sensitive paint“, „2nd symposium on Rail-Aerodynamics 2013, Berlin; 15-17, May 2013 8 Numerics: DLR Triangular Adaptive Upwind Code (TAU) Compressible NS solver Hybrid mesh (hexa, prisms, tetras) Dual-grid/cell centered metric Explicit time integration Multi Grid (domain decomposition) Low Mach Number Preconditioning RANS/LES/Hybrids with transition Note : Conversion from TAU C.S. to WT C.S. required in post-processing integral loads. 9 RANS (SWG): Feature identification using CFD result at Re=450,000, β=30o Isosurface: Contours : Grid : total pressure M∞ D2.R4 10 NGT2-Model: Topology of near-wall flow @ Re=0.45 Mio, β=30° PIV cut Topology of CFD solutions agrees broadly with flow visualization.... 11 Comments on Flow visualization but some important differences can be seem! laminar-separation turbulent transition which can impact on the vehicle aerodynamic loading. 12 Flow topology at β=30°. Comparison with PIV data (X=-0.25) View from rear View from front URANS, SA, D2.4) Qualitative agreement between CFD and PIV is reasonable. 13 Integral force and moments: Re=250,000, β=20o Grid N (Mio) O1 16 Predicted integral force coefficients appears reasonable but ….. RANS solutions may not satisfy standards such as RIL 807.0401, even for low β and Re values. 20000 iterations (96 domains) requires ~ 24 hours - the computational cost equilvalent across all calculations shown. 14 N .bl 11-20 X/H 17 Y/H (Mio) 17 Z/H 17/3 Y+max 0.6 Quantification of Integral Force and Moment Coefficients Define : subscript c - value from a sampled set (i.e. CFD, experiment) subscript e – value from a sampled set (i.e. CFD, experiment) Consider a vector space spanning the range of test results F such that an error norm E can be constructed using the difference of sets on the space as a difference: En ( F ) Fc Fe n where n is the order of the vector norm e.g. (0,1,2,∞) The definition allows construction of quality quantification measures based on RIL 807 0401, for example … En ( Fi ) M 1n ( F ) i 0.5% Fi ,e 15 M 2n ( F ) i En ( Fi ) 0.1 Measured force and moment components: Re=250,000,β=0o Force Components (3) * * Moment Components (3) * Mx b * i Balance CS-> Model CS M xi M xi ijk Fjb xk b U 2 Ao d o * * 16 Integral force and moments: Re=250,000, β=0o 11 Grid N (Mio) N .bl X/H Y/H (Mio) Z/H Y*max O1 16 11/20 17 17 17/3 0.6 Fa ,b C f a Cb M a ,b C M a CM b 2 2 Grid Cfx Cfy Cfz M2(Cf) Cmx Cmy Cmz M2(CM) Exp D1 -0.18 -0.003 -0.11 0 0.015 0.07 0.04 0 SA D1 -0.26 0.04 -0.078 0.04 0.032 0.9 0.3 0.5 SA(RC) D1 -0.27 0.05 -0.07 0.04 0.03 0.6 0.23 0.3 MSST D1 -0.26 0.03 -0.08 0.04 0.031 0.8 0.29 0.3 17 Integral force and moments: Re=450,000, β=0o Grid N (Mio) N .bl X/H Y/H (Mio) Z/H Y+max O1 16 11/20 17 17 17/3 2.0 M 2 (C f ) C f c C f e 2 Grid CFx±0.01 CFy±003 CFz±0.09 M2(Cf) Exp D1 -0.22 0.003 0.07 0 SA D1 -0.27 0.04 0.078 0.05 SA+RC D1 -0.26 0.05 0.075 MSST -0.29 0.03 0.07 D1 M 2 (CM ) CM c CM e CMx 2 CMy CMz M2(CM) -0.04 0.02 0 -0.032 -0.9 0.3 1.2 0.045 -0.03 -0.647 0.23 0.9 0.058 -0.03 -0.86 0.9 1.2 0.003 • Variation between experiment and CFD is considerably larger than variation across CFD for both integral and moment coefficients. • Turbulence model influence is not marked for integral forces, but appears more signficant for the integral moments. 18 Simulating in SWG: Base Grids D2 D1 Base grid dimensions Grid β(odegs) N (Mio) Nlayers Nprisms (Mio) Npyras (Mio) Ntetra (Mio) Y+max D1/D2 0 16 11/20 17 0.02 39 0.9 D2.1 30 19 11/20 21 0.02 49 0.9 D2.2 30 22 11/20 26 0.02 56 0.9 D2.3 30 29 11/20 32 0.02 75 0.9 D2.4 30 36 11/20 43 0.02 86 0.9 19 RANS (SWG): Estimation of Rolling moment (CMx): Re=450,000, β=30o Loads computed on D1 (β=0°) are comparible to the results computed using mesh O1. CFD analysis of the 30° case is not yet complete. Adapatation improves the quality index, but no RANS calculation satisfies the quality requirement for all moments and forces. Transition specifications return minor improvements here (under investigation). Grid Exp Cfy Cfz M2(CF) Cmx M2(CMx) -4.7 -1.8 0 -3.07 0 SA+RC D2.R0 -3.1 -5.3 3.8 -2.8 0.27 SA+RC D2.R1 -3.1 -5.2 3.7 -2.9 0.17 SA+RC D2.R2 -4.0 -3.9 2.2 -3.1 0.03 SA+RC D2.R3 -4.3 -3.3 1.5 -3.2 0.13 SA+RC) D2.R4 -4.5 -2.6 0.9 -3.2 0.13 SA+RC * D2.R4 -4.5 -2.6 0.8 -3.2 0.13 * Transition line co-ordinates determined from TSP image 20 OFV -transition What have we learned? The flow about the NGT2 is highly complex and provides a significant challenge for RANS methods. RANS methods are tuned for lower yaw angle ranges. RANS mesh refinement studies suggest that the solution quality improves with refinement: prediction of the attached vortex systems and associated induced load components due to these vortices is improved. Note that attached vortices appear to be stationary. Strong turbulence model influences are not demonstrated, suggesting that other modeling error sources dominate. All meshes are near-wall resolving … suggesting that unsteady modeling may be more appropriate. 21 What have we learned? Quality indices for integral forces are easier to achieve in comparison to integral moments ∆FxMAX= 5N ∆FyMAX= 10N ∆FzMAX= 30N 22 What have we learned? Flow features returned from CFD agrees broadly with flow visualization . TSP is an effective method to assess turbulent transition as well as deduce footprints of attached vortices on complex geometries and detect laminar separation bubbles. Observation and CFD results inside SWG show the existence of complex vortex systems attached to the vehicle. Laminar separation, APG effects and transition effects are present, each of which on an individual basis pose a significant challenge to conventional RANS modeling- 23 What have we learned??? Work to date supports the findings in the literature that suggests unsteady computational methods may be more appropriate. At the present time both URANS and DDES solutions are being computed for validation against the present RANS and experimental data. HOWEVER, THERE IS A NEED TO EVALUATE SYSTEM COMPLEXITY IN A CONSITENT MANNER. To this end we are in the process of devising numerical experiments of increasing complexity that are relevant to train simulations Experimental program is being extended so that unsteady force and flow field data can be collected for use in validation of flow-resolving calculations. 24 25 RANS (SWG): integral force and moments: Comments on adaptation • Mesh refinement considerably enhances the ability of the RANS method to resolve the vortical flow attached to the vehicle. N2.R1 (19 Mio) N2.R4 (36 Mio) 26 Numerical convergence 27 Plate surface pressure distributions: Re=250,000 β=20o Re=250,000, β=20° Influence of turbulent production evident. 28 29 Influence of Reynolds number and Yaw angle l 0.75 Mio yaw = -30° 1.05 Mio yaw = -30° 30 Flow topology: Shear stress distribution along plate (CFD) Skin friction estimates demonstrate stationary vortical footprints which are „attached“ to the model. These footprints are only weakly influenced by the modeling approach used (SA/SST models demonstrated). Re=450K, β=30o Re=450K, β=0o 31 Vortex Footprints (VF) At β=30° two VFs are observed downwind of the model. Initialization of Tunnel BC's Iterate inflow boundary pressure until pressure at sensor location is achieved.00 i.e.: at Re = 450K Pdyn (target) = 2055 Pa 32 WCRR, Sydney, 22-15th November, 2013, Keith W Visualization of the flow field: Temperature Sensitive Paint (TSP) 33 developed in cooperatrion with Universität Hohenheim Sensitivity 8%/°C @40°C (=luminosity pro 1° change in temp.) Luminescent molecular probe which measures surface temperature differences produced by convective heat transfer. (reference). Visualization of the flow field: Temperature Sensitive Paint (TSP) Luminescent molecular probe which measures surface temperature differences produced by convective heat transfer. (reference). Developed in cooperatrion with Universität Hohenheim Sensitivity 8%/°C @40°C (=luminosity pro 1° change in temp.) 34 OV322 Overview of Numerics: Modified JST Dissipation Model Central Scheme Flux Model r → ∞ G → H(0) aP 1 1 Fˆ f FˆL FˆR (G (...) D (2) G (...) D (4) ) aPr→ 0 G → H(1) 2 2 a = 4.5 D(2)=ε2 ( fj+1 - fj ) SHOCK REGIONS: (4) SHOCK FREE REGIONS: D =ε4 (L( fj+1 )-L( fj )) Description of G and unsteadiness indicators (P) Unsteadiness characterised by 1/P G(a,r,P) G ( a, r , P ) tanh aP r H(1) H(0) r is set like 1/ M local (e.g. shock sensor) PDucros (u ) PMach (.u ) 2 ((.u ) ) M local 2 2 P M ref WCRR, Sydney, 22nd-25th November, 2013, WCRR, Sydney, 22nd-25th November, 2013, Keith Weinman, Slide 35 Experimental Overview: OFV issues WCRR, Sydney, 22nd-25th November, 2013, WCRR, Sydney, 22nd-25th November, 2013, Keith Weinman, Slide 36 Experimental Overview: TSP Sensitivity SWG @ 40o C: Sensitivity (TSP) = 8%/oC 8% change in light intensity per oC WCRR, Sydney, 22nd-25th November, 2013, WCRR, Sydney, 22nd-25th November, 2013, Keith Weinman, Slide 37 Numerics: DLR Triangular Adaptive Upwind Code (TAU) Compressible NS solver Hybrid mesh (hexa, prisms, tetras), Central Scheme + matrix dissipation form of JST stabilization + Skew-symmetric inviscid flux form [Ducros (2005), Kok (2009)]. Dual-grid/cell centered metric, Implicit/Explicit time integration, H based on Ducros et al. (2005) Jameson Dual + Global Time Stepping, Multi Grid (domain decomposition), Low Mach Number Preconditioning, RANS/LES/Hybrids with transition. 2nd Diff. 𝐺→0 𝑎𝑠 𝐴→0 𝐺→1 𝑎𝑠 𝐴→∞ 4th Diff. 𝐻→0 𝑎𝑠 s ≪ w 𝐻→1 𝑎𝑠 s ≫ w S 0.5ui , j u j ,i W 0.5ui , j u j ,i 38 Scalar Dissipation + JST Model Scalar Dissipation + JST Model (CB/32) Results with Modified JST Dissipation Matrix Dissipation + Mod. JST Model Matrix Dissipation + Mod. JST Model (CB/32) 39 WCRR, Sydney, 22-15th November, 2013, Keith W Visualization of the flow field: Particle Image Velocimetry (PIV) Velocity field computed by cross-correlation of time-separated particle images. 40