Quality Criteria for Large Eddy Simulation - Turbulence Mechanics ...

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List of Figures 2.1 Zonal embedded grid with fine near wall mesh and coarse channel centerline mesh [Kravchenko et al., 1996]. . . . . . . . . . . 18 3.1 The ranges and subranges of scales in a turbulent flow. . . . . 30 3.2 Schematic representation of the energy cascade. . . . . . . . . 30 3.3 Integral lengthscale and Taylor microscale on a model energy spectrum. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 3.4 Integral lengthscale and Taylor microscale on a one-dimensional model energy spectrum. . . . . . . . . . . . . . . . . . . . . . 43 3.5 Comparison between Taylor microscales and the Integral scales in HIT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 4.1 Streamwise energy spectra from DNS computations at Reτ = 720. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 4.2 Spanwise energy spectra from DNS computations at Reτ = 720. 48 4.3 Integral lengthscales for Reτ = 395 from DNS . . . . . . . . . 50 4.4 Energy lengthscales for Reτ = 395 from DNS . . . . . . . . . . 50 4.5 Comparison between different lengthscales for the channel flow test case at Reτ = 720. . . . . . . . . . . . . . . . . . . . . . 52 iii
LIST OF FIGURES iv 4.6 Velocity profiles obtained from k − ε simulation in comparison with DNS velocity profiles [Hoyas and Jimenez, 2006] for Reτ = 2000. . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 4.7 Turbulent energy profiles obtained from k − ε simulation in comparison with DNS velocity profiles [Hoyas and Jimenez, 2006] for Reτ = 2000. . . . . . . . . . . . . . . . . . . . . . . 55 4.8 Dissipation profile across channel for Reτ = 2000. . . . . . . . 57 4.9 Variation of turbulent energy lengthscale across channel at Reτ = 2000. . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 4.10 Variation of Taylor microscale across channel at Reτ = 2000. 58 4.11 Velocity profile across channel for Reτ = 6000. . . . . . . . . 59 4.12 Turbulent energy profile across channel for Reτ = 6000. . . . 59 4.13 Dissipation profile across channel for Reτ = 6000. . . . . . . . 60 4.14 Variation of turbulent energy lengthscale across channel at Reτ = 6000. . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 4.15 Variation of Taylor microscale across channel at Reτ = 6000. 61 4.16 Variation of turbulent energy lengthscale with Reτ. . . . . . . 61 4.17 Variation of Taylor microscale with Reτ. . . . . . . . . . . . . 62 4.18 Variation of the normalized Taylor microscale with Reτ. . . . 62 4.19 Grid built for channel flow using Taylor microscales. . . . . . 64 4.20 LES results obtained with the grid generated using Taylor scales (LES Taylor) in comparison with an LES using structured grid (LES STRUC). . . . . . . . . . . . . . . . . . . . . 64 4.21 Effects of the grid resolution on the dissipation profiles. Sym- bols, DNS; dashed lines, LES with structured grid and line, LES with grid generated using Taylor scales. . . . . . . . . . . 65 6.1 Plan for second and third year . . . . . . . . . . . . . . . . . . 69
Page 1 and 2: Quality Criteria for Large Eddy Sim
Page 3: CONTENTS ii 3.3 Integral lengthscal
Page 7 and 8: List of Tables 4.1 Number of cells
Page 9 and 10: Chapter 1 Introduction Most natural
Page 11 and 12: CHAPTER 1. INTRODUCTION 3 The most
Page 13 and 14: CHAPTER 1. INTRODUCTION 5 and hence
Page 15 and 16: CHAPTER 2. LITERATURE REVIEW 7 2.1.
Page 17 and 18: CHAPTER 2. LITERATURE REVIEW 9 the
Page 19 and 20: CHAPTER 2. LITERATURE REVIEW 11 the
Page 21 and 22: CHAPTER 2. LITERATURE REVIEW 13 How
Page 23 and 24: CHAPTER 2. LITERATURE REVIEW 15 8.
Page 25 and 26: CHAPTER 2. LITERATURE REVIEW 17 2.5
Page 27 and 28: CHAPTER 2. LITERATURE REVIEW 19 goo
Page 29 and 30: CHAPTER 2. LITERATURE REVIEW 21 can
Page 31 and 32: CHAPTER 2. LITERATURE REVIEW 23 2.7
Page 33 and 34: CHAPTER 2. LITERATURE REVIEW 25 7.
Page 35 and 36: Chapter 3 Turbulence Lengthscales A
Page 37 and 38: CHAPTER 3. TURBULENCE LENGTHSCALES
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CHAPTER 4. TURBULENT CHANNEL FLOW 4
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Chapter 5 Conclusions An unstructur
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CHAPTER 6. FUTURE WORK 69 Figure 6.
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CHAPTER 6. FUTURE WORK 71 Table 6.1
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Bibliography S. A. Ahmed and A. S.
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BIBLIOGRAPHY 85 M. Freitag and M. K
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BIBLIOGRAPHY 87 J. L. Lumley. Inter
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