Dr. Philipp Birken Department of Mathematics Universität Kassel Heinrich Plett Str. 40 (AVZ) D-34132 Kassel AG Analysis and Applied Mathematics AVZ, Raum 2419 (2nd floor) Tel: +49 - (0)561 - 804 - 4677 Fax: +49 - (0)561 - 804 - 4443 Admin: Mrs Blaschek (Tel: +49 - (0)561 - 804 - 4632) Office Hours: Tuesdays, 13:00-14:00 E-Mail: birken@mathematik.uni-kassel.de

Research interests

I look at the numerical simulation of compressible flows, in particular at flows at low Mach numbers. This type of flows can generally be described by incompressible models, but not if additional difficulties occur from source terms or boundary conditions. One example are large heat sources, e.g. from tunnel fires or cooling processes in steel forging. The last example is the topic of my project in the SFB TRR 30.
The methods we use are finite volume schemes with implicit time integration. An important part of our research is the search for efficient schemes for the solution of the appearing sequences of nonlinear equation systems with preconditioned Newton-Krylow schemes.
Another point is the solution of coupled systems of partial differential equations.

Publications

-A Time-Adaptive Fluid-Structure Interaction Method for Thermal Coupling
P. Birken, K. J. Quint, S. Hartmann, A. Meister, Computing and Visualization in Science, submitted.
-On Higher Order Time Integration for Thermal Coupling
P. Birken, S. Hartmann, A. Meister, K. Quint, in T. Simos, G. Psihoyios, Ch. Tsitouras (eds.): Numerical Analysis and Applied Mathematics, International Conference on Numerical Analysis and Applied Mathematics 2009, Volume 2, AIP Conference Proceedings, 2009, pp. 1184-1187
-Blending Dual Time Stepping and Newton-Krylow Methods for Unsteady Flows
P. Birken and A. Jameson, PAMM 2009, submitted
-On Coupling Schemes for Heat Transfer in FSI applications
P. Birken, S. Hartmann, A. Meister and K. Quint, in Hartmann, Meister, Schäfer, Turek (eds.): Proceedings of the International Workshop on Fluid-Structure Interaction: Theory, Numerics and Applications Herrsching, 2009, Kassel University Press, pp. 21-30, Pdf
-On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows
P. Birken and A. Jameson, Int. J. Num. Meth. Fluids, 2009, published online, Pdf
-Nonlinear iterative solvers for unsteady Navier-Stokes equations
P. Birken and A. Jameson, Proceedings of the 12th International Conference on Hyperbolic Problems. Theory, Applications and Numerics, Maryland, 2008, to appear
-Updating preconditioners for permuted non-symmetric linear systems
P. Birken, A. Meister, J. Duintjer Tebbens and M. Tuma, PAMM, 7 (1), 2007, published Online, Pdf
-Preconditioner updates applied to CFD model problems
P. Birken, A. Meister, J. Duintjer Tebbens and M. Tuma, APNUM 58(11), 2008, pp. 1628-1641 , Pdf
-Numerical Simulation of Tunnel Fires using preconditioned Finite Volume Schemes
P. Birken, ZAMP, 59, 2008, pp. 416-433, Pdf
-Finite Volume Methods for Low Mach Number Flows under buoyancy
P. Birken in Hyperbolic Problems: Theory, Numerics, Applications, Springer, 2008, Benzoni-Gavage, Serre (editors), pp. 331-338
-Analysis of Finite Volume Schemes in the Low Mach Number Regime
P. Birken and A. Meister, in Proceedings of Topical Problems of Fluid Mechanics 2006, Prague, ed. by Jaromir Prihoda and Karel Kozel
-Numerical Simulation of Flows at Low Mach Numbers with Heat Sources
P. Birken, Dissertation, 2005, Universität Kassel, Shaker Verlag, Pdf
-On Low Mach Number Preconditioning of Finite Volume Schemes
P. Birken and A. Meister, PAMM 5 (1), 2005, Special Issue: GAMM Annual Meeting 2005 - Luxembourg, pp. 759-760, Pdf
-Stability of Preconditioned Finite Volume Schemes at Low Mach Numbers
P. Birken and A. Meister, BIT 45(3), 2005, pp. 463-480. Pdf
-Preconditioning GMRES for Steady Compressible Inviscid Flow
P. Birken, IGPM Preprint Nr. 212, 2002, ps.gz
-Numerical Solution of ODEs with Bezier techniques
P. Birken, Master Thesis, Lund University, Center for Mathematical Sciences, Numerical Analysis, 2000

Teaching

During the winterterm 09/10, I will organize a seminar on numerical mathematics

During the winterterm 08/09, I will give a lecture on Numerik II.

During the summerterm 08, I gave a lecture on theory and numerics of conservation laws.

During the summerterm 06 I attended to excersizes on Numerik I

During the winterterm 05/06 I attended to the excersizes on mathematics for natural scientists.

During the summterm 05 I attended to the excersizes on elementary Geometry.

During the winterterm 04/05 I attended to
Excersizes for Numerik II and
Excerzises to Elemente der Arithmetik und Algebra I.

During the summerterm 04 I attended to
Excersizes on Numerik I and
Excersizes on Elementargeometrie.

Personal

Short vitae