Finite Element Methods in Computational Fluid Dynamics (101.870)

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First lecture: 14:00 on 5. October 2020. A Zoom link will be prepared online in TISS (page not available yet)

We are going to discuss the following subjects

  1. Definition of the Navier-Stokes and Euler equations
  2. Theory of saddle point problems
  3. Finite element methods for the Stokes equations
  4. (H)DG methods
  5. Discretization of konvection (diffusion) equations (DG, SUPG, Least squares)
  6. Discretization of the Navier-Stokes equations
  7. Discretization of the Euler equations
  8. Riemann solvers

Notes on lecture and exercise

- Lecture notes: Are in preparation and will be updated during the lecture.

Since this is a VU we either will have some exercises or some projects. This will depend on the number of participants

Additional literature

Jean Donea and Antonio Huerta: Finite Element Methods for Flow Problems

Richard H. Pletcher, John C. Tannehull and Dale A. Anderson: Computational Fluid Mechanics and Heat Transfer