Lecture 1 - Introduction

Lecture 2 - Intro to Turbulence

• Pope, chapter 3

Lecture 3 - Turbulence Scales, Fourier Transforms

• Pope, Appendix D-G
• Stull, Chapter 8.4-8.6
• Example Fourier transform (MATLAB)

Homework #1

• v1obsdata.txt
• v1simdata.txt
• Solutions

Lecture 4 - Numerical Simulations, Equations of Motion

• Voller and Porte-Agel (2002)
• Bou-Zeid (2014)

Lecture 5 - Scale Separation

• Convolution example (MATLAB)
• Convolution example data (MATLAB)
• Convolution example animation (mp4)

Lecture 6 - Filtered Incompressible Equations of Motion

• Leonard (1974)

Lecture 7 - Filtered Kinetic Energy Equation

Lectures 8/9 - Filtered Compressible Equations of Motion

Homework #2

• iso_vel128.mat
• Solutions

Lecture 10 - Turbulence Modeling

• Farge and Schneider (2001) - coherent vortex simulations
• Colucci et al. (1998) - filtered density functions

Lecture 11 - SGS Modeling

• Ghosal (1996)
• Chow and Moin (2003)
• Gibbs and Fedorovich (2014a)
• Gibbs and Fedorovich (2014b)
• Grinstein et al. (2007)
• Germano (1992)

Lecture 12 - Classes of SGS Models

• Smagorinsky (1963)
• Deardorff (1980)
• Wong and Lilly (1994)
• Germano (1991)
• Gibbs and Fedorovich (2016)

Lecture 13 - Smagorinsky Model

• Prandtl (1927)
• Chapter on Prandtl
• Smagorinsky (1963)
• Deardorff (1970)

Lecture 14 - Other Eddy-Viscosity Models

Lecture 15 - Similarity Models

• Bardina et al. (1980)
• Liu et al (1994)

Lecture 16 - Mixed Models, Dynamic Models

• Germano et al. (1991)
• Lilly (1992)

Homework #3

Project #1

• Basu (2009)
• DNS source code and data
• LES source code

Lecture 17 - Stochastic Burgers Equation

• Basu (2009)
• Bertini et al. (1994)
• Burgulence -- Ch 7 in "New trends in turbulence Turbulence" (2002)

Lecture 18 - Evaluating Simulations and SGS Models

• Cabot and Moin (1999)
• Lu et al. (2008)
• Porte-Agel et al. (2000)
• Sullivan and Patton (2011)
• Wan et al. (2007)

Lecture 19 - Statistical Conditions for a SGS Model

• Liu et al (1994)
• Meneveau (1994)
• Carper and Porte-Agel (2004)
• Bou-Zeid et al. (2010)
• Higgins et al. (2003)

Lecture 20 - a priori studies

Project #2

• Order of presentations
• DNS Data (Dropbox link; ~1.9GB)
• Email me if you are interested in using the PIV data

Lecture 21 - Inflow Boundary Conditions

• Animation of turbulence grid generator (overhead; courtesy A. N. Hayati)
• Animation of turbulence grid generator (side; courtesy A. N. Hayati)

Lecture 22 - Surface/Wall Boundary Conditions

• Schumann (1975)
• Chapman (1979)
• Choi and Moin (2011)

Lecture 23 - Lagrangian Particle Dispersion Modeling in LES

Lecture 24 - Special Topic: WALE Model

• Nicoud and Ducros (1999)
• Nicoud et al (2011)
• Lesieur and Metais (1999)