LES of shock wave / turbulent boundary layer interaction

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IV Contents 5 Compression-decompression corner 77 5.1 Mean flow and turbulence . . . . . . . . . . . . . . . . . . 78 5.2 Turbulent kinetic energy balance . . . . . . . . . . . . . . 85 6 Conclusions 91 A Summary of flat-plate boundary layer simulations 93 B Summary of compression ramp simulations 95 C Computational details 101 Bibliography 103
List of Figures 1.1 Examples of canonical configurations. . . . . . . . . . . . 3 1.2 Essential flow phenomena in compression ramp flows. . . . 5 1.3 Experimentally suggested flow field with streamwise vortices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Sketch of flow structure and measurement stations. . . . . 10 2.1 Domain splitting. . . . . . . . . . . . . . . . . . . . . . . . 18 2.2 Computational mesh. . . . . . . . . . . . . . . . . . . . . . 18 2.3 Streamwise distribution of the wall temperature. . . . . . 25 3.1 Instantaneous density. . . . . . . . . . . . . . . . . . . . . 30 3.2 Instantaneous z−vorticity component in x − y section. . . 31 3.3 Skin-friction coefficient dependency on Reynolds number. 32 3.4 Wall-normal distributions of the mean-flow for the incoming flow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.5 The Van-Driest transformed mean-velocity profiles for the incoming flow. . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.6 Streamwise Reynolds stress. . . . . . . . . . . . . . . . . . 36 3.7 Profiles of the Reynolds stresses . . . . . . . . . . . . . . . 36 4.1 Compression corner mesh . . . . . . . . . . . . . . . . . . 41 4.2 Mean density gradient ‖∇ρ‖. . . . . . . . . . . . . . . . . 42 4.3 Three-dimensional mean flow. . . . . . . . . . . . . . . . . 44 4.4 Distribution of the mean skin-friction coefficient. . . . . . 46 4.5 Oil-flow visualization pattern from experiment. . . . . . . 46 4.6 Distribution of the mean skin-friction in spanwise direction. 47 4.7 Skin-friction and wall-pressure distributions in the streamwise direction. . . . . . . . . . . . . . . . . . . . . . 49 4.8 Velocity profiles at several downstream positions. . . . . . 52 4.9 Two-dimensional representation of the mean flow. . . . . . 52 4.10 Görtler number distribution. . . . . . . . . . . . . . . . . 54 4.11 Schlieren-type visualization at two time instants . . . . . 56 4.12 A series of instantaneous Schlieren-type visualizations. . . 58 4.13 Wall pressure history and probability distributions at six different wall positions. . . . . . . . . . . . . . . . . . . . . 59 4.14 Standard deviation of wall pressure fluctuation. . . . . . . 61 4.15 Intermittency distribution. . . . . . . . . . . . . . . . . . . 64 4.16 Mean pressure dependency on the averaging time. . . . . 64 4.17 Three-dimensional flow field at t = 691. . . . . . . . . . . 65
Page 1: Technische Universität München Le
Page 5: Contents Contents List of figures L
Page 9: List of Tables 1.1 Streamwise dista
Page 12 and 13: X Nomenclature T u τ = U u,u 1 v,u
Page 15: Abstract XIII Well-resolved Large-E
Page 18 and 19: Introduction be computed explicitly
Page 20 and 21: Introduction from the region of flo
Page 22 and 23: Introduction large-scale motion and
Page 24 and 25: Introduction decompression corner n
Page 26 and 27: Introduction 1 23 4 567 8 9 10 11 1
Page 28 and 29: Introduction Reynolds numbers mainl
Page 30 and 31: Introduction Parameter value M ∞
Page 33 and 34: Chapter 2 Simulation method 2.1 Dom
Page 35 and 36: 19 2.2 Governing equations The comp
Page 37 and 38: 21 with a reference temperature T
Page 39 and 40: 23 (Stolz et al., 2001a). For simpl
Page 41: 25 2.7 2.65 T w 2.6 2.55 -20 -10 0
Page 44 and 45: Flat plate boundary layer The slow
Page 46 and 47: Flat plate boundary layer (a) (b) F
Page 48 and 49: Flat plate boundary layer δ 0 δ 1
Page 50 and 51: Flat plate boundary layer 1.5 1 x 3
Page 52 and 53: Flat plate boundary layer 1.5 1 x 3
Page 54 and 55: Flat plate boundary layer variation
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Compression corner flow parameter v
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Compression corner flow Figure 4.2:
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Figure 4.3: Three-dimensional mean
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Compression corner flow Figure 4.4:
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Compression corner flow computation
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Compression corner flow a longer de
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Compression corner flow 2 1.5 0 1 E
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Compression corner flow 1.8 1.5 1.2
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Compression corner flow (a) (b) (c)
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Compression corner flow (a) (e) (b)
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Compression corner flow forward-sho
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Compression corner flow tion events
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Compression corner flow 1 0.8 λ 0.
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Compression corner flow (a) (e) (b)
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Compression corner flow replacemen
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Compression corner flow 2 1.5 E2 (a
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Compression corner flow ure 4.21(c)
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Compression corner flow 2 2 1.5 1.5
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Compression corner flow 0.1 〈U〉
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Compression-decompression corner se
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Compression-decompression corner C
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Compression-decompression corner Th
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Compression-decompression corner 0
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Compression-decompression corner 14
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Compression-decompression corner 0.
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Chapter 6 Conclusions The numerical
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Appendix B Summary of compression r
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Hunt & Nixon (1995) Adams (1998), A
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Stolz et al. (2001a) Kannepalli et
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Computational details Table C.1: De
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Bibliography Bedarev, I. A., Zhelto
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Bibliography Floryan, J. M. 1991 On
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Bibliography Lee, S., Lele, S. K. &
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Bibliography Moin, P. & Kim, J. 198
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Bibliography Smits, A. J. & Wood, D
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Bibliography Yan, H., Knight, D. D.
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LES of shock wave / turbulent boundary layer interaction

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