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

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BIBLIOGRAPHY 88 [6] Boussinesq, J., Théorie de l’écoulement tourbillant, Mém. Prés. par div. savant à L’Academie Scientifique de Paris, vol. 23, p. 46, 1877. [7] Boyer, V. & Laurence, D., A shape function wall function approach for high and low Reynolds near-wall turbulence models, International Journal of Numerical Methods in Fluids, vol. 40, pp. 241-251, 2002. [8] Chapman, D. R. & Kuhn, G. D., The limiting behaviour of turbulence near a wall, Journal of Fluid Mechanics, vol. 170, pp. 265-292, 1986. [9] Chou, P. Y., On the velocity correlations and the solution of the equations of turbulent fluctuation, Quarterly Applied Mathematics, vol. 3, p. 38, 1945. [10] Coakley, T. J., Turbulence modelling methods for the compressible Navier-Stokes equations, AIAA, no. 83-1693, 1983. [11] Comte-Bellot, G., Écoulement turbulent entre deux parios paralleles, Publications Scientifiques et Techniques du Ministère de l’Air, vol. 419, 1965. [12] Cotton, M. A. & Ismael, J. O., An examination of periodic turbulent pipe flow using a low-Reynolds-number k-ε turbulence model, Pro- ceedings of the 8th Symposium on Turbulent Shear Flows, Techhnical University of Munich, no. III-6, 1998. [13] Cotton, M. A., Craft, T. J., Guy, A. W., & Launder, B. E., On modelling periodic motion with turbulence closures, Flow, Turbulence and Combustion, vol. 67, pp. 143-158, 2001.
BIBLIOGRAPHY 89 [14] Craft, T. J., Launder, B. E., & Suga, K., Development and application of a cubic eddy-viscosity model of turbulence, International Journal of Heat and Fluid Flow, vol. 17, pp. 108-115, 1996. [15] Craft, T. J., Developments in a low-Reynolds-number second-moment closure and its application to separating and reattaching flows, Inter- national Journal of Heat and Fluid Flow, vol. 19, pp. 541-548, 1998. [16] Craft, T.J., Gant S.E., Iacovides, H., Launder B.E. & Robinson, C.M.E., Computational study of flow around the ”Ahmed” car body (case 9.4), 9th ERCOFTAC/IAHR/COST Workshop on Refined Tur- bulence Modelling, Darmstadt, Germany, 2001. [17] Craft, T.J., Gerasimov, A. V, Iacovides, H., and Launder B.E., Progress in the generalization of wall-function treatments, Interna- tional Journal of Heat and Fluid Flow, vol. 23, pp. 148-160, 2002. [18] Craft, T.J., Gant S.E., Iacovides, H., and Launder B.E., A new wall function strategy for complex turbulent flows, Numerical Heat Transfer Part B: Fundamentals, vol. 45, no. 4, pp. 301-318, 2004. [19] Davidov, B. I., On the statistical dynamics of an incompressible turbulent fluid, Dokl. Akad. Nauk SSSR, vol. 136, pp. 47-50, 1987. [20] Ferziger, J. H., & Perić, M., Computational Methods for Fluid Dynam- ics, Springer, London, 2002. [21] Gant, S. E., Development and application of a new wall function for complex turbulent flows, PhD thesis, University of Manchester Institute of Science and Technology (UMIST), 2002.
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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
Page 7 and 8:
List of Figures 2.1 The log-law com
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5.32 k vs y + snapshots through tim
Page 11 and 12:
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
Page 31 and 32:
CHAPTER 2. TURBULENCE MODELS 21 2.2
Page 33 and 34:
CHAPTER 2. TURBULENCE MODELS 23 way
Page 35 and 36:
CHAPTER 2. TURBULENCE MODELS 25 y i
Page 37 and 38:
CHAPTER 2. TURBULENCE MODELS 27 The
Page 39 and 40:
CHAPTER 2. TURBULENCE MODELS 29 In
Page 41 and 42:
Chapter 3 Channel Flow Channel flow
Page 43 and 44:
CHAPTER 3. CHANNEL FLOW 33 of x and
Page 45 and 46:
CHAPTER 3. CHANNEL FLOW 35 varies o
Page 47 and 48: CHAPTER 3. CHANNEL FLOW 37 u 2 +
Page 49 and 50: CHAPTER 3. CHANNEL FLOW 39 3.4.1 Em
Page 51 and 52: CHAPTER 3. CHANNEL FLOW 41 profile
Page 53 and 54: CHAPTER 3. CHANNEL FLOW 43 Figure 3
Page 55 and 56: CHAPTER 3. CHANNEL FLOW 45 The prof
Page 57 and 58: CHAPTER 3. CHANNEL FLOW 47 y + is p
Page 59 and 60: 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: Bibliography [1] Addad, Y., Applica
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 and 124: FIGURES 113 〈U〉 + 〈U〉 + 20
Page 125 and 126: FIGURES 115 U U ss U U ss 3.0 3.0 2
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 ) (
Page 149 and 150:
FIGURES 139 〈U〉 (Uτ ) ss 〈U
Page 151 and 152:
FIGURES 141 k (U 2 τ ) ss k (U 2
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The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow

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