AER1310: Turbulence Modelling

AER1310: Turbulence Modelling

Instructor: Professor C. P. T. Groth
University of Toronto Institute for Aerospace Studies (UTIAS)
Phone: (416) 667-7715
Home page:

Course URL:

Course Description

Overview of numerical modelling techniques for the prediction of turbulent flows with emphasis on the capabilities and limitations of engineering approaches commonly used in computational fluid dynamics (CFD) for the simulation of turbulence. Topics include:

Introduction to turbulent flows; definition of turbulence; features of turbulent flows; requirements for and history of turbulence modelling. Conservation equations for turbulent flows; Reynolds and Favre averaging; velocity correlations, Reynolds-averaged Navier-Stokes equations (RANS); Reynolds stress equations; effects of compressibility. Algebraic Models; eddy viscosity and mixing length hypothesis; Cebeci-Smith and Baldwin-Lomax models. Scalar-field evolution models; turbulence energy equation; one- and two-equation models; wall functions; low-Reynolds-number effects. Second-order closure models; full Reynolds-stress and algebraic Reynolds stress models. Large-Eddy Simulation (LES) techniques. Detached-Eddy Simulation (DES) techniques. Direct Numerical Simulation (DNS) methods.


Turbulence Modeling for CFD, by D. C. Wilcox, DCW Industries, Third Edition, 2007.


Fridays, 2:00 - 5:00 pm, UTIAS Lecture Hall, January 11 - April 26, 2019.


There will be four assignments:

  1. Assignment #1: Due: February 22, 2019.

  2. Assignment #2: Due: March 15, 2019.

  3. Assignment #3: Due: April 5, 2019.

  4. Assignment #4: Due: April 22, 2019.


The final grade is a composite of the following weighted items:

  1. 60% for the four assignments; and

  2. 40% for a final exam (3 hrs, April 26, 2019).