This exercise deals with the finite volume discretization of a convection diffusion problem on a 2D nonuniform spatial grid.
The exercise includes
Feel free to download the exercise (PDF) and basic m-files (TAR) for mesh generation and visualization. If you are a tutor, I will be happy to provide you with the complete implementation and example solutions.
At the moment I have two topics readily available:
The projects can be fitted to the needs in terms of complexity, quantity and theory to programming ratio.
Basic knowledge of numerical mathematics and a programming language is mandatory. Knowledge of control theory and fluid dynamics will be useful.
If you are interested, just drop by...
Manuel Baumann, BA (2011):
Modellierung und Simulation von Dispersionen in turbulenter Strömung
(Modelling and simulation of dispersions in turbulent flow), in German, awarded best BA Thesis 2011 at Department of Math. at TU Berlin
Maximilian Behr, MA (2015):
Optimierung und Stabilisierung von inkompressiblen Strömungen in M.E.S.S.
(Optimization and Stabilization of Incompressible Flow in M.E.S.S), in German, very good MA Thesis at the MPI/OvGU Magdeburg
Björn Baran, MA (2016):
Optimal control of a Stefan problem with gradient-based methods in FEniCS,
very good MA Thesis at the MPI/OvGU Magdeburg