Schwach kompressible Strömungen:
- Asymptotische Analyse
- Preconditionierung
- Verhalten von Upwind-Verfahren im Bereich kleiner Machzahlen

Atmosphärische Schwerewellen
- Wellen, Brechung und Turbulenzanfachung
- Parametrisierung

 

Veröffentlichungen

Rieper, F., Bader, G. 2009 Influence of cell geometry on the accuracy of upwind schemes in the low Mach number regime J. Comp. Phys. 228 (8) (2009) 2918-2933

Rieper, F. 2010 On the dissipation mechanism of upwind-schemes in the low Mach number regime: a comparison between Roe and HLL J. Comp. Phys. 229 (2) (2010) 221-232

Dellacherie S., Omnes P., Rieper, F. 2010 The influence of cell geometry on the Godunov scheme applied to the linear wave equation J. Comp. Phys. 229 (2) (2010) 221-232

Rieper, F. 2011 A low Mach number fix for Roe's approximate Riemann solver J. Comp. Phys. (submitted 2010)

 

 

Doktorarbeit

Rieper, Felix, On the Behaviour of Numerical Schemes in the low Mach Number Regime, Brandenburgische Technische Universität, Cottbus, (2008)

 

Konferenzbeiträge (mit Gutachterverfahren)

Rieper, F. and Bader, G., Consistency of the explicit Roe scheme for low-Mach-number flows in exterior domains, Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications, in: Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 883-890 (2008)

Rieper, Felix, Influence of low Mach numbers on the numerical dissipation of  Godunov-type schemes: a comparison between Roe and HLL scheme, in: Proceedings of the 6th International Congress on Industrial and Applied Mathematics, July 2007, Zurich, Switzerland, (2007)

Rieper, Felix, Influence of cell geometry on the behaviour of the first-order Roe scheme in the low  Mach number regime, in: Proceedings of the 5th International Symposium on   Finite Volumes for Complex Applications, June 2008, Aussois, France (2008)