Structure of the course
1. Introduction, flow models.
2. Equations of fluid mechanics.
3. Finite Difference Method.
4. Finite Volume Method.
5. Finite Element Method.
6. Implementation of FEM.
7. Time-stepping techniques.
8. Properties of numerical methods.
9. Taylor-Galerkin schemes for pure convection.
10. Operator-splitting / fractional step methods.
11. MPSC techniques / Navier-Stokes equations.
12. Algebraic flux correction / Euler equations