Theoretical and Numerical Methods for Fluid Mechanics

School of Mathematics, Statistics and Computer Sciences, College of Science, University of Tehran

Course instructor:
  • Pascal Frey
    lab. J.L. Lions & institute for computing and data science, Sorbonne Université
    4, place Jussieu, 75005 Paris, France
  • Yannick Privat, Charles Dapogny, Dena Kazerani, Thi Thu Cuc Bui, Thi Thanh Mai Ta

Information: summer school

The institute for computing and data science (ISCD) is organizing its 7th summer school "Scientific Trends at the Interfaces".
This year's topic is Computational Chemistry-Mathematical Modelling-High Performance Computing.
Have a look at our web page and read our brochure (in PDF format).
Applications can be submitted and a limited number of grants (accomodation) are available.

1. Syllabus

This class is an introduction to mathematical and computational aspects of incompressible fluid flow simulations. It is presented to the point of view that the students are (going to be) applied mathematicians, physicists or engineers.

Computational fluid dynamics is at the crossroad of many disciplines and, like many topics at the interfaces between disciplines, its access may seem a bit harsh for (under)graduate students in mathematics or engineering. Our goal is to cover the main aspects of finite element methods for incompressible flows. We have sought to achieve a right balance between theoretical concepts, numerical analysis, description of schemes and algorithms and engineering applications. Numerical experiments using FreeFem++ will help students to understand these concepts and see advanced numerical methods in action.

  1. A fluid mechanics primer
  2. The Stokes model
  3. The Navier-Stokes model
  4. Two-fluid or two-phase flows
  5. Error estimates and mesh adaptation
  6. Shape optimization for fluids
  7. Appendix

2. Material

Students can download the slides of the course: and can try some exercises about the classes:

3. References

Updated 2018-04-21 10:31 CET