Introduction to Turbulence – Lecture Notes
File : 5,3 MB, 179 pages
TOC
1 Fundamental Considerations
1.1 Why Study Turbulence?
1.2 Some Descriptions of Turbulence
1.3 A Brief History of Turbulence
1.3.1 General overview
1.3.2 Three eras of turbulence studies
1.4 Definitions, Mathematical Tools, Basic Concepts
1.4.1 Definitions
1.4.2 Mathematical tools
1.4.3 Further basic concepts
2 Statistical Analysis and Modeling of Turbulence
2.1 The Reynolds-Averaged Navier–Stokes Equations
2.1.1 Derivation of the RANS equations
2.1.2 Time-dependent RANS equations
2.1.3 Importance of vorticity and vortex stretching to turbulence
2.1.4 Some general problems with RANS formulations
2.1.5 Reynolds-averaged Navier–Stokes Models
2.2 The Kolmogorov Theory of Turbulence
2.2.1 Kolmogorov’s “universality” assumptions
2.2.2 Hypotheses employed by Frisch [80]
2.2.3 Principal results of the K41 theory
3 Large-Eddy Simulation and Multi-Scale Methods
3.1 Large-Eddy Simulation
3.1.1 Comparison of DNS, LES and RANS methods
3.1.2 The LES decomposition
3.1.3 Derivation of the LES filtered equations
3.1.4 Subgrid-scale models for LES
3.1.5 Summary of basic LES methods
3.2 Dynamical Systems and Multi-Scale Methods
3.2.1 Some basic concepts and tools from dynamical systems theory
3.2.2 The Navier–Stokes equations as a dynamical system
3.2.3 Multi-scale methods and alternative approaches to LES
3.2.4 Summary of dynamical systems/multi-scale methods
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