Institute of Aerodynamics and Gas Dynamics
- High order numerical schemes for computational fluid dynamics
- Numerical schemes for multi-scale and multi-physics application
- Applications in aerodynamics, aeroacoustics, gas dynamics, plasma physics, and multi-phase flow
- Numerical methods for partial differential equations
- Scientific computing
Piecewise continuous approximations allow a high flexibility in the discretization: Adaptive unstructured grids with refinement and coarsening may be combined with a local enrichment of the set of basis functions to get locally a better resolution. Furthermore the coupling of different physical phenomena needs a high flexibility in the numerical tools.
The main objective of the research is the construction of numerical methods, which have as many as possible of the following properties:
- hp-adaptivity on unstructured grids,
- curved grid cells at obstacles,
- non-conforming approximation spaces,
- local time-stepping for transient solutions,
- arbitrary order in space and time,
- fully conservative,
- fast on high performance computers.
Finite volume schemes, discontinuous Galerkin schemes and their combination of reconstructed discontinuous Galerkin schemes is the topic of research.
Beside the constructions of the numerical methods and their efficient implementation on high performance computers also the applications to selected real industrial problems is considered. The main fields of applications are from computational fluid mechanics and include problems within the fields of aerodynamics, aeroacoustics, multi-phase flow, and plasma flows.
Arbitrary high order discontinuous Galerkin schemes for the magnetohydrodynamic equations Journal Article
J. of Scientific Computing, 30 , pp. 441-464, 2007.
Lax-Wendroff-type schemes of arbitrary order in several space dimensions Journal Article
IMA Journal of Numerical Analysis, 27 , pp. 593-615, 2007.
On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes Journal Article
Int. J. Appl. Math. Comput. Sci, 17 , pp. 101-114, 2007.
Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature Journal Article
J. Comput. Phys., 224 , pp. 352-364, 2007.
Journal of Computational Physics, 224 (2), pp. 1049 - 1063, 2007.
J. Sci. Comput., 32 , pp. 175–199, 2007.
Journal of Computational Physics, 226 (1), pp. 586 - 620, 2007.
A Framework for the Stochastic Modelling of Subgrid Scale Fluxes for Large Eddy Simulation Journal Article
submitted to Meteorologische Zeitschrift, 0000, ISSN: 0941-2948.
International Journal of Numerical Methods in Fluids Journal for Numerical Methods in Fluids, 78 (7), pp. 413-435, 0000, ISSN: 1097-0363.