Theories of Turbulence
Invited Lecturers
- Roberto Benzi (Autor. Informatica per la , Roma, Italy)
- 6 lectures: 1. Kolmogorov equation for fully developed turbulence, 2. Intermittency in homogeneous and isotropic turbulence, 3. Fractal dimensions and random fields part 1, 4. Fractal dimensions and random fields part 2, 5. Extended Self Similarity, 6. Intermittency in Boundary layers and shear flows.
- Friedrich H. Busse (Univ. Bayreuth - Th. Ph. IV, Bayreuth, Germany)
- 6 lectures: 1. Introduction to Hydrodynamic Stability Theory, 2. Transition to Complex Flows Through Sequences of Bifurcation, 3. Phase turbulence, 4. Transition to Turbulence in Rayleigh-Benard Convection, 5. Asymptotic bounds on turbulent transports, 6. Turbulence in the presence of magnetic fields and rotation.
- Claude Cambon (Ecole Centrale de Lyon, Ecully Cedex, France)
- 6 lectures: 1. Background for 'Rapid Distortion Theory' and related linear analyses, 2. Weak wave interaction and 'two-point closure' theories for systems with waves and turbulence, 3. Vortex dynamics and turbulence in rotating fluid, 4. Turbulence in stably - stratified fluid with and without rotation, 5. Towards compressible high-speed flows, 6. The challenge of modelling strongly inhomogeneous, semi-complex, turbulent flows.
- Arne V. Johansson (Royal Inst. of Technology, Stockholm, Sweden)
- 6 lectures: 1. Basic aspects of two-equation models, 2. Explicit Algebraic Reynolds Stress Models - 2D Mean flows, 3. Explicit Algebraic Reynolds Stress Models - 3D Mean flows, 4. Some new aspects of Differential Reynolds Stress Models, 5. Symbolic computation as a basis for generating flexible model testers for 1D and 2D flows - examples of testing in flows with strong effects of rotation, 6. Stochastic modelling tools for single point models and for sub-grid scale models in LES.
- Martin Oberlack (Techn. Univ. Darmstadt, Darmstadt, Germany)
- 6 lectures: 1. Introduction to generalized similarity and symmetry, 2. Generalized similarity and symmetry of the Euler, Navier-Stokes and related equations, 3. Generalized similarity solutions (scaling laws) of plane and round turbulent shear flows, 4. Generalized similarity solutions of homogeneous turbulence and multi-dimensional time-dependent turbulent flows, 5. Contradiction of k-epsilon type of equations with generalized similarity solutions of Navier-Stokes equations. 6. Generalized similarity and its implications for Reynolds averaged and sub-grid scale models in turbulence.