Turbulence and CFD Models.

Course materials:

• Lecture notes
• Syllabus
• Continuous world and numerical world
• Some examples


• Video lectures
• Course presentation
• Continuous world and numerical world
• Some examples

Course materials:

• Lecture notes
• Transition to turbulence in shear flows


• Video lectures
• Lecture 1 - You need UNIGE credentials
• Lecture 2 - You need UNIGE credentials
• Lecture 3 - You need UNIGE credentials
• Lecture 4 - You need UNIGE credentials
• Lecture 5 - You need UNIGE credentials
• Lecture 6 - You need UNIGE credentials
• Lecture 7 - You need UNIGE credentials
• Lecture 8 - You need UNIGE credentials

Course materials:

• Lecture notes
• The turbulent world around us. Turbulence, does it matter? Introduction to turbulence modeling Wall bounded flows and shear flows


• Video lectures
• Lecture - You need UNIGE credentials

Course materials:

• Lecture notes
• Turbulence modeling - Scales of turbulence From Kolmogorov scales to Taylor microscales, to integral scales. Energy spectrum and energy cascade. Integral length scale and grid length scale. Turbulence near the wall - Law of the wall. A glimpse to a turbulence model


• Video lectures
• Lecture - You need UNIGE credentials

Course materials:

• Lecture notes
• Practical turbulence estimates


• Video lectures
• Lecture - You need UNIGE credentials


• Python notebooks
• Notebook 1 - Compute turbulence estimates

Course materials:

• Lecture notes
• Governing equations. Reynolds averaging. The Boussinesq hypothesis.


• Video lectures
• Lecture - You need UNIGE credentials

Course materials:

• Lecture notes
• Part 1 of the lecture notes. The closure problem. Exact and solvable equations. Derivation of the Reynolds stress transport equation and turbulent kinetic energy equation. Another touch to the closure problem.
• Part 2 of the lecture notes. Two equations models - The k-epsilon model and the k-omega model. One equation models - The Spalart-Allmaras model.
• Part 3 of the lecture notes. The Reynolds stress model. Budgets of turbulence kinetic energy, dissipation rate, and Reynolds stress. Transition models - Review of the Gamma-Re-Theta model.
• Part 4 of the lecture notes. Near wall treatment. Incomplete list of turbulence models and references.


• Video lectures
• Lecture 1 - You need UNIGE credentials
• Lecture 2 - You need UNIGE credentials
• Lecture 3 - You need UNIGE credentials
• Lecture 4 - You need UNIGE credentials

Course materials:

• Lecture notes
• Recap of Reynolds decomposition and time averaging. Data analysis and statistical tools used turbulence modeling.
• Additional slides.


• Video lectures
• Lecture 1 - You need UNIGE credentials
• Lecture 2 - You need UNIGE credentials

Course materials:

• Lecture notes
• Post-processing and analysis of turbulent simulations.


• Video lectures
• Lecture 1 - You need UNIGE credentials
• Lecture 2 - You need UNIGE credentials

Course materials:

• Lecture notes
• Additional topics. Favre averaging. RANS models corrections. Wall functions for heat transfer. Wall functions – Additional observations. Surface roughness. Non-linear eddy viscosity models.


• Video lectures
• Lecture - You need UNIGE credentials

Course materials:

• Lecture notes
• Part 1 of the lecture notes. SRS simulations. LES theoretical background and general reamarks. Filtered Navier-Stokes equations.
• Part 2 of the lecture notes. Subgrid-scale models for LES. DES models. A few mesh resolution guidelines and rough estimates for LES/DES simulations. Final remarks on LES/DES turbulence models.
• Additional slides.


• Video lectures
• Lecture 1 - You need UNIGE credentials
• Lecture 2 - You need UNIGE credentials


• References
• A. Leonard. "Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows". Advances in Geophysics, Vol. 18, Part A, pp. 237-248, 1975.
• M. Germano. "Turbulence: the filtering approach". J. Fluid Mech., Vol. 238, pp. 325-336, 1992.
• J. Smagorinsky. "General circulation experiments with the primitive equations: I. The basic experiment". Monthly Weather Review, 91(3), pp. 99-164, 1963.
• J. Deardoff. "A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers". J. Fluid Mech., Vol. 41, pp. 453-480, 1970.
• R. Clark, J. Ferziger, W. Reynolds. "Evaluation of subgrid-scale turbulence models using a fully simulated turbulent flow". NASA Technical Report NASA-CR-152642, 1977.
• R. Clark, J. Ferziger, W. Reynolds. "Evaluation of subgrid-scale models using an accurately simulated turbulent flow". J. Fluid Mech., 91(1), pp. 1-16, 1979.
• F. Nicoud, F. Ducros . "Subgrid-scale stress modelling based on the square of the velocity gradient tensor". Flow, Turbulence and Combustion, 62 (3), pp.183-200, 1999.
• D. K. Lilly. "A proposed modification of the Germano subgrid‐scale closure method". Physics of Fluids A: Fluid Dynamics 4, 633, 1992.
• M. Germano, U. Piomelli, P. Moin, W. Cabot . "A dynamic subgrid‐scale eddy viscosity model". Physics of Fluids A: Fluid Dynamics 3, 1760, 1991.
• S. Pope "Ten questions concerning the large-eddy simulation of turbulent flows". New Journal of Physics 6, 35, 2004.

Course materials:

• Video lectures
• Lecture - You need UNIGE credentials


• Support material
• Collection of best practices guidelines.