Numerical methods for incompressible fluids

EAFIT, Escuela de Verano, Medellin, June 17-25, 2015

Course instructors:

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.

The 7-days course is divided into 5 parts:

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

2. Material

Students can download

3. References

4. Grading

To be defined.

Updated 2014-05-28 13:00 CET