Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

Fundamentals of Turbulence and modeling

ME 69700 / 3 (3 Class) Cr.

This course consists of three parts: (i) fundamentals of turbulence including turbulence concepts, statistical description, and Kolmogorov hypothesis. (ii) major modeling concepts and formulations such as direct numerical simulation (DNS), large eddy numerical simulation (LES), and Reynolds averaged Navier-stokes simulation (RANS). Team projects related to turbulence modeling and computation with applications in environment, industry, biomechanics for visualizing and experiencing turbulence.


S. B. Pope, Turbulent Flows, Third Edition, McGraw-Hill, New York, 2006.


Upon completion of the course, students are expected to be able to

1. build up a sound background in the mathematical, physical, and statistical description of turbulence

2. apply Komogorov theory to quantitatively predict turbulence scales  

4. derive governing equations for kinetic energy, vorticity, pressure, etc. from Navier-Stokes equation and apply them to non-complicated turbulence

5. apply major modeling tools to turbulence computation at different Re numbers.

6. numerically analyze turbulence properties for decaying isotropic turbulence with and without rotation, turbulent rectangular jets, biological flows in the presence of turbulence etc. through provided computation output data.

  1. Equations of fluid motion (2 periods)
  2. The statistical description of turbulence flows (2 periods)
  3. The scales of turbulence motion (7 period)
  4. Mean and filtered equations (2 periods)
  5. Turbulence modeling and computation  (5 periods)
  6. Projects (4 periods)
  7. Exam (1 period)