The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow

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FIGURES 114 k + k + 5 4 3 2 1 10 0 0 5 4 3 2 1 10 0 0 10 1 10 1 a c 10 2 10 2 y + y + k + 5 4 3 2 1 10 0 0 a { b{ c { Figure 5.4: k + vs y + in the steady flow case 10 1 Low-Re k-ε Subgrid k-ε b 10 2 y + k-ε with log law Subgrid k-ε Subgrid k-ε Subgrid k-ω ✄✂ ✁ DNS [30] analytical profile
FIGURES 115 U U ss U U ss 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 0.0 0.0 -0.5 -0.5 -1.0 -1.0 -1.5 -1.5 -2.0 -2.0 0.0 0.5 1.0 1.5 2.0 a period 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 0.0 0.0 -0.5 -0.5 -1.0 -1.0 -1.5 -1.5 -2.0 -2.0 0.0 0.5 1.0 1.5 2.0 a { Low-Re k-ε Subgrid k-ε b{ ✄✂ ✁ DNS [29] prescribed b period k-ε log law Subgrid k-ε Subgrid k-ω ∂〈P 〉 ∂x ( ∂〈P 〉 ∂x ) ( ∂〈P 〉 ∂x ) ss ( ∂〈P 〉 ( ∂〈P 〉 ∂x ) ss Figure 5.5: Bulk flow variation in the periodic pressure case ∂x ) × 10 −1 × 10 −1
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The UMIST-N Near-Wall Treatment App
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Acknowledgements I would like to th
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Contents 1 Introduction & Literatur
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List of Figures 2.1 The log-law com
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5.32 k vs y + snapshots through tim
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Chapter 1 Introduction & Literature
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CHAPTER 1. INTRODUCTION & LITERATUR
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Chapter 2 Turbulence Models The Rey
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CHAPTER 2. TURBULENCE MODELS 19 The
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CHAPTER 2. TURBULENCE MODELS 21 2.2
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CHAPTER 2. TURBULENCE MODELS 23 way
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CHAPTER 2. TURBULENCE MODELS 25 y i
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CHAPTER 2. TURBULENCE MODELS 27 The
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CHAPTER 2. TURBULENCE MODELS 29 In
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Chapter 3 Channel Flow Channel flow
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CHAPTER 3. CHANNEL FLOW 33 of x and
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CHAPTER 3. CHANNEL FLOW 35 varies o
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CHAPTER 3. CHANNEL FLOW 37 u 2 +
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CHAPTER 3. CHANNEL FLOW 39 3.4.1 Em
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CHAPTER 3. CHANNEL FLOW 41 profile
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CHAPTER 3. CHANNEL FLOW 43 Figure 3
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CHAPTER 3. CHANNEL FLOW 45 The prof
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CHAPTER 3. CHANNEL FLOW 47 y + is p
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CHAPTER 4. NUMERICAL IMPLEMENTATION
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Page 73 and 74: CHAPTER 4. NUMERICAL IMPLEMENTATION
Page 75 and 76: CHAPTER 4. NUMERICAL IMPLEMENTATION
Page 77 and 78: CHAPTER 5. RESULTS 67 Table 5.1: Co
Page 79 and 80: CHAPTER 5. RESULTS 69 The solution
Page 81 and 82: CHAPTER 5. RESULTS 71 match the DNS
Page 83 and 84: CHAPTER 5. RESULTS 73 Integrating w
Page 85 and 86: CHAPTER 5. RESULTS 75 Figures 5.11,
Page 87 and 88: CHAPTER 5. RESULTS 77 gradient of k
Page 89 and 90: CHAPTER 5. RESULTS 79 The log law o
Page 91 and 92: CHAPTER 5. RESULTS 81 maxima). This
Page 93 and 94: Chapter 6 Conclusions & Suggestions
Page 95 and 96: CHAPTER 6. CONCLUSIONS & SUGGESTION
Page 97 and 98: Bibliography [1] Addad, Y., Applica
Page 99 and 100: BIBLIOGRAPHY 89 [14] Craft, T. J.,
Page 101 and 102: BIBLIOGRAPHY 91 [30] Kim J., Moin P
Page 103 and 104: BIBLIOGRAPHY 93 [47] Niederschulte,
Page 105 and 106: BIBLIOGRAPHY 95 [64] Rotta, J. C.,
Page 107 and 108: BIBLIOGRAPHY 97 [82] Tu, S. W. & Ra
Page 109 and 110: Figures 99
Page 111 and 112: FIGURES 101 − 〈uv〉 + 1.0 0.9
Page 113 and 114: FIGURES 103 k + 5 4 3 2 1 0 10 0 +
Page 115 and 116: FIGURES 105 1.4 〈vv〉 + 1.2 1.0
Page 117 and 118: FIGURES 107 y ∗ y ∗ 600 500 400
Page 119 and 120: FIGURES 109 y ∗ v2 y ∗ v2 600 5
Page 121 and 122: FIGURES 111 〈U〉 + 〈U〉 + 20
Page 123: FIGURES 113 〈U〉 + 〈U〉 + 20
Page 127 and 128: FIGURES 117 〈U〉 (Uτ ) ss k (U
Page 131 and 132: FIGURES 121 〈U〉 (Uτ ) ss 〈U
Page 133 and 134: FIGURES 123 k (U 2 τ ) ss k (U 2
Page 139 and 140: FIGURES 129 ( ∂〈P 〉 ∂x ) (
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The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow

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