Turbulence and Transition Modelling: Lecture Notes from the Ercoftac/Iutam Summerschool Held in Stockholm, 12-20 June, 1995 (Hardcover, 1996)

Preface. 1: Introduction. 1.1. Early developments. 1.2. Basic equations. 2: Stability and Transition. 2.0. Nomenclature. 2.1. Introduction. 2.2. Inviscid linear stability theory. 2.3. Viscous instability analysis. 2.4. Stability of complex boundary layer flows. 2.5. Transition scenarios. 2.6. Transition modeling. 3: The Basics of Turbulence Modelling. 3.1. Introduction. 3.2. Nomenclature. 3.3. The physics of turbulence. 3.4. Single-point transport equations. 3.5. The hierarchy and history of single- point closures. 3.6. What should a closure fulfil? 3.7. The K-epsilon and other two-equation models. 3.8. Differential Reynolds stress models. 3.9. Modeling the epsilon-equation. 3.10. Models for turbulent transport. 3.11. Algebraic Reynolds stress models. 3.12. Near-wall treatment. 3.13. Model development and validation tools. 4: Constitutive Relations and Realizability. 4.1. Turbulence constitutive relationships. 4.2. Realizability in turbulence modeling. 5: Advanced Turbulence Models. 5.1. Introduction. 5.2. Non-linear eddy viscosity models. 5.3. New developments in stress-transport closures. 5.4. Concluding remarks. 5.A. Appendix. 6: One-Point Closures Applied to Transition. 6.1. Introduction and historical background. 6.2. Eddy viscosity and other simple approaches. 6.3. Eddy-viscosity model refinement. 6.4. Results from by-pass transition simulations. 6.5. Using and refining RST models to predict transition. 6.6. Towards practical computations. 6.7. Conclusions and summary. 7: LES: Theory and Applications. 7.1. Introduction. 7.2. Governing equations and filters. 7.3. Principles of small scale modeling. 7.4. Subgrid-scale modeling. 7.5. Numerical models. 7.6. Applications. 7.7. Conclusions. 8: Transition Modeling Based on the PSE. 8.1. Introduction. 8.2. Preliminary. 8.3. The PSE formulation: Basics. 8.4. The linearized PSE. 8.5. The nonlinear PSE. 8.6. Receptivity.