Claus-Dieter Munz


Room 1.031
Institute of Aerodynamics and Gas Dynamics
Pfaffenwaldring 21
70569 Stuttgart

Research topics

  • 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

Current research

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.



61 entries « 2 of 2 »


I. Ali, S. Becker, J. Utzmann, C.-D. Munz

Aeroacoustic study of forward facing step using linearized Euler equations Journal Article

Physica D , 237 , pp. 2184-2189, 2008.


Gassner, G.; Lörcher, F.; Munz, C.-D.

A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions Journal Article

Journal of Scientific Computing, 34 , pp. 260-286, 2008, (10.1007/s10915-007-9169-1).

Links | BibTeX

Frieder Lörcher; Gregor Gassner; Claus-Dieter Munz

An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations Journal Article

Journal of Computational Physics, 227 (11), pp. 5649 - 5670, 2008.

Links | BibTeX


A. Taube, M. Dumbser, D. Balsara, C.-D. Munz

Arbitrary high order discontinuous Galerkin schemes for the magnetohydrodynamic equations Journal Article

J. of Scientific Computing, 30 , pp. 441-464, 2007.


F. Lörcher, C.-D. Munz

Lax-Wendroff-type schemes of arbitrary order in several space dimensions Journal Article

IMA Journal of Numerical Analysis, 27 , pp. 593-615, 2007.


M. Dumbser, C.-D. Munz

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.


C.-D. Munz, M. Dumbser, S. Roller

Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature Journal Article

J. Comput. Phys., 224 , pp. 352-364, 2007.


Gregor Gassner; Frieder Lörcher; Claus-Dieter Munz

A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes Journal Article

Journal of Computational Physics, 224 (2), pp. 1049 - 1063, 2007.

Links | BibTeX

Lörcher, F.; Gassner, G.; Munz, C.-D.

A Discontinuous Galerkin Scheme Based on a Space—Time Expansion I. Inviscid Compressible Flow in One Space Dimension Journal Article

J. Sci. Comput., 32 , pp. 175–199, 2007.

Links | BibTeX

Dinshaw S. Balsara; Christoph Altmann; Claus-Dieter Munz; Michael Dumbser

A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes Journal Article

Journal of Computational Physics, 226 (1), pp. 586 - 620, 2007.

Links | BibTeX


Thomas von Larcher, Andrea Beck, Rupert Klein, Illia Horenko, Philpp Metzner, Matthias Waidmann, Dimitri Igdalov, Gregor Gassner; Claus-Dieter Munz

A Framework for the Stochastic Modelling of Subgrid Scale Fluxes for Large Eddy Simulation Journal Article

submitted to Meteorologische Zeitschrift, 0000, ISSN: 0941-2948.


61 entries « 2 of 2 »