# AER1310: Turbulence Modelling

Instructor: Professor C. P. T. Groth

University of Toronto Institute for Aerospace Studies (UTIAS)

Phone: (416) 667-7715

E-mail: groth@utias.utoronto.ca

Home page:
http://arrow.utias.utoronto.ca/~groth/

Course URL:
http://arrow.utias.utoronto.ca/~groth/aer1310

## 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**.

## Textbook

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

## Lectures

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

## Assignments

There will be four assignments:

**Assignment #1**: Due: February 22, 2019.**Assignment #2**: Due: March 15, 2019.**Assignment #3**: Due: April 5, 2019.**Assignment #4**: Due: April 22, 2019.

## Marks

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

60% for the four assignments; and

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