Fluctuation statistics of scalar advected by different prescribed velocity fields =: 不同指定速度場帶動下標量之漲落的統計性質.

• Other Authors: Tsang, Yue Kin.
• Format: Others
• Language: English
• Published: Chinese University of Hong Kong 1996
• Subjects: Turbulence; Scalar field theory; Fluid mechanics
• Online Access: http://library.cuhk.edu.hk/record=b5888956; http://repository.lib.cuhk.edu.hk/en/item/cuhk-321467

by Tsang Yue Kin. === Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. === Includes bibliographical references (leaves 120-122). === by Tsang Yue Kin. === Contents --- p.ii === List of Figures --- p.iv === List of Tables --- p.vi === Abstract --- p.vii === Acknowledgement --- p.viii === Chapter Chapter 1. --- Introduction --- p.1 === Chapter 1.1 --- Probability Density Function in Turbulence --- p.2 === Chapter 1.2 --- Scaling Laws in Turbulence --- p.6 === Chapter Chapter 2. --- The Problem --- p.12 === Chapter 2.1 --- Random Advection of a Passive Scalar --- p.12 === Chapter 2.2 --- Numerical Implementation --- p.14 === Chapter Chapter 3. --- Statistics of Scalar Fluctuation --- p.19 === Chapter 3.1 --- Results --- p.19 === Chapter 3.1.1 --- Probability Density Function of Scalar Fluctuation --- p.20 === Chapter 3.1.2 --- Exact Formula for PDF --- p.20 === Chapter 3.1.3 --- Other Velocity Statistics --- p.24 === Chapter 3.2 --- Conditional Averages q(x) and r(x) --- p.25 === Chapter 3.2.1 --- q(x) --- p.25 === Chapter 3.2.2 --- r(x) --- p.39 === Chapter 3.2.3 --- PDF calculated from various forms of q(x) and r(x) --- p.46 === Chapter 3.3 --- Other Velocity Statistics --- p.55 === Chapter Chapter 4. --- Statistics of Scalar Difference --- p.75 === Chapter 4.1 --- PDF of Scalar Difference --- p.75 === Chapter 4.1.1 --- Results --- p.76 === Chapter 4.1.2 --- Relation between PT{x) and 5S2n(T) --- p.80 === Chapter 4.2 --- Scaling of S2n(T) --- p.82 === Chapter 4.3 --- Other Velocity Statistics --- p.90 === Chapter 4.4 --- Discussions --- p.103 === Chapter Chapter 5. --- Conclusion --- p.105 === Appendix A. PDF of Stream Functions --- p.107 === Chapter A.1 --- General Formalism --- p.107 === Chapter A.2 --- Applications --- p.108 === Appendix B. Generation of Random Deviates --- p.112 === Appendix C. Check of Stationarity --- p.114 === Appendix D. Calculations of the coefficients of q(x) and r(x) --- p.117 === Bibliography --- p.120