Large-Eddy Simulation of Turbulent Flow

Course Resources

• Syllabus

Lectures

• Lecture 1: Introduction

  • Pope, Ch. 3

• Lecture 2: Intro to Turbulence

• Lecture 3: Turbulence Scales, Fourier Transforms

  • Pope, Appendix D-G

  • Stull Ch. 8.4-8.6

  • Example Fourier transform (MATLAB)

• 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

• Lecture 8/9: Filtered Compressible Equations of Motion

• Lecture 10: Turbulence Modeling

  • Farge and Schneider (2001)

  • Colucci et al. (1998)

• 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)

• 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

• 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)

Homework

• Homework #1

  • v1obsdata.txt

  • v1simdata.txt

  • Solutions

• Homework #2

  • iso_vel128.mat

  • Solutions

• Homework #3

  • Solutions

Projects

• Project #1

  • Basu (2009)

  • DNS source code and data

  • LES source code

• Project #2

  • Order of presentations

  • DNS Data (Dropbox link; ~1.9GB)