 HighOrder Methods for ConvectionDominated Problems
 Hybridized DG methods
 HighPerformance Computing
Computational Mathematics
Universiteit Hasselt  Knowledge in action
 CONTACT

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Alexander Jaust, M.Sc.
Room nr.: D250A
Email: alexander.jaust@uhasselt.be
Address:
Campus Diepenbeek
Agoralaan Gebouw D
BE 3590 Diepenbeek
Belgium
I'm also affiliated with:
MathCCES
Department of Mathematics
RWTH Aachen University
Schinkelstr. 2
D52062 Aachen
Germany
You can find my homepage at RWTH Aachen University here.
My publications while at UHasselt can also be found here.
Journal Publications
Proceedings
Miscellaneous
Talks
Posters
I am working on the extension of a hybridized discontinuous Galerkin method for unsteady flow problems. It is a socalled highorder method, i.e. the error decreases with third order or more under uniform mesh refinement.
Flows at high Mach numbers , i.e. supersonic flows, can be modeled by the Euler equations. These neglect viscous effects of a fluid as these only have a small influence on the resulting flow. However, in many applications these flows shocks develop. In this case we apply an artificial viscosity model for stabilizing the scheme.
Closeup of the shock interactions of a double Mach wedge.
For modeling viscous flow we use the compressible NavierStokes equations. These flows develop boundary layers when the fluid passes rigid walls since noslip condition conditions are enforced on these surfaces.
A `classical' phenomenon for viscous flows is the Karman vortex street. If a viscous fluid flows around an obstacle at moderate Reynolds numbers vortices shed periodically. It has been intensively studied by many scientists. Therefore, it is often used for verification of numerial methods. The actual behavior of the flow depends on the Reynolds number and the shape of the obstacle.
You can also let the fluid flow around obstacles such as the CMAT writing (see also top left of the homepage):
More images will follow soon!
Please look in our papers and especially the references therein.