Finite Element Methods in Computational Fluid Dynamics (101.870)
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Lecture every Tuesday and Wednesday starting at 16:00
Subject of course
- Definition of the Navier-Stokes and Euler equations
- Theory of saddle point problems
- Finite element methods for the Stokes equations
- (H)DG methods
- Discretization of konvection (diffusion) equations (DG, SUPG, Least squares)
- Discretization of the Navier-Stokes equations
- Discretization of the Euler equations
- Riemann solvers
Notes on lecture and exercise
- Lecture notes: Are in preparation and will be updated during the lecture. The actual version can be found here: pdf
- We are going to use NGSolve: Tutorials: i-Tutorials, You can also install Jupyter notebook, and use the tutorials iFEM.zip by starting iFEM.ipynb
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