Daniel Karrasch
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Dr. Daniel Karrasch Technische Universität München Zentrum Mathematik Boltzmannstr. 3 D-85748 Garching bei München |
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ma.tum.deShort CV
| since 2015 | Postdoctoral Fellow, TU München (with O. Junge) | |
| 2012-2015 | Postdoctoral Fellow, ETH Zürich (with G. Haller  ) | |
| 09/2012 | Ph.D. in Mathematics, Technische Universität Dresden (with S. Siegmund ) | |
| 08/2009 | Diploma in Mathematics, Technische Universität Dresden | |
| 2006-2007 | Student's year abroad, Moscow State University |
Research interests
- Applied mathematics
- Nonautonomous dynamical systems
- Applied analysis, differential geometry and topology
- Fluid dynamics and coherent structures
Research projects
- Member of the SFB Transregio 109 Discretization in Geometry and Dynamics
- Co-PI in a project within DFG - Priority Programme 1881 Turbulent Superstructures (joint with O. Junge)
Upcoming and recent activities
- October 2017: Invited speaker at the Fall school of the Priority Programme on Turbulent Superstructures, Bad Hersfeld, Germany
- July 2017: Speaker at Euromech Colloquium on Turbulent Superstructures in Closed and Open Flows , Erfurt, Germany
- May 2017: Co-organizer of minisymposium and speaker at SIAM Conference on Applications of Dynamical Systems , Snowbird, Utah, USA. See the talks of our minisymposium, including mine, here .
- March 2017: Speaker at Joint Annual Meeting of GAMM , Ilmenau@Weimar, Germany: my PDF slides (8MB)
- January 2017: Invited speaker at the Workshop on Transport in Unsteady Flows , Banff International Research Station, Canada. See my talk here .
- October 2016: Speaker at DGD Days 2016 , Annual workshop of SFB/TR109, TU Berlin, Germany
- September 2016: Speaker at SON 2016 - 7th International Workshop on Set Oriented Numerics , FU Berlin, Germany
- May 2016: Speaker at AmeriMech Symposium on Fluid Transport and Nonlinear Dynamics , Woods Hole Oceanographic Institution, USA
Publications
See also zbMATH, MathSciNet ,
ResearcherID , Scopus , GoogleScholar , ResearchGate , or ORCiD . - Preprints
- F. Hofherr, D. Karrasch. Lagrangian Transport Through Surfaces in Compressible Flows. submitted preprint , find related code here
Supplementary Material: advection movie of particles in the crosschannel micromixer (video)
Supplementary Material: animation of evolution of donating regions in the crosschannel micromixer (video)
Supplementary Material: animation of evolution of donating regions in the crosschannel micromixer (video)
- D. Karrasch, J. Keller. A geometric heat-flow theory of Lagrangian coherent structures. submitted preprint ,
Supplementary Material: advection movie of Lagrangian coherent structures in the rotating double gyre flow (video)
Supplementary Material: advection movie of Lagrangian coherent structures in the cylinder flow (video)
Supplementary Material: advection movie of Lagrangian coherent structures in the Bickley jet flow (video)
Supplementary Material: heat flow movie of heat localized within a coherent structure, based on the cylinder flow geometry (video)
Supplementary Material: heat flow movie of heat localized within the mixing region, based on the cylinder flow geometry (video)
- F. Hofherr, D. Karrasch. Lagrangian Transport Through Surfaces in Compressible Flows. submitted preprint
- Peer-reviewed articles
- A. Hadjighasem, D. Karrasch, H. Teramoto, G. Haller. A Spectral Clustering Approach to Lagrangian Vortex Detection.
Phys. Rev. E, 93(6), 063107, 2016. Journal link, postprint , BibTeX
Supplementary Material: advection movie of Lagrangian coherent vortices in the Bickley jet flow (mp4)
Supplementary Material: advection movie of Lagrangian coherent vortices in an ocean data set (mp4) - D. Karrasch. Lagrangian transport through surfaces in volume-preserving flows.
SIAM J. Appl. Math.76(3), 1178-1190, 2016. Journal link, postprint , BibTeX
- D. Karrasch. Attracting Lagrangian coherent structures on Riemannian manifolds.
Chaos, 25(8), 087411, 2015. Journal link, postprint , BibTeX
- D. Karrasch, M. Farazmand, G. Haller. Attraction-Based Computation of Hyperbolic Lagrangian Coherent Structures.
J. Computational Dynamics, 2(1), 83-93, 2015. Journal link, postprint , BibTeX
- D. Karrasch, F. Huhn, and G. Haller. Automated detection of coherent Lagrangian vortices in two-dimensional unsteady flows.
Proc. R. Soc. A, 471, 20140639, 2015. Journal link, postprint , BibTeX
- D. Karrasch, G. Haller. Do Finite-Size Lyapunov Exponents detect coherent structures?
Chaos, 23(4), 043126, 2013. Journal link, postprint , BibTeX
- D. Karrasch. Linearization of Hyperbolic Finite-time Processes.
J. Differential Equations, 254(1), 256-282, 2013. Journal link, postprint , BibTeX
- D. Karrasch. Comment on "A variational theory of hyperbolic Lagrangian Coherent Structures, Physica D 240 (2011) 574-598".
Physica D, 241(17), 1470-1473, 2012. Journal link, postprint , BibTeX
- T. S. Doan, D. Karrasch, N. T. Yet, and S. Siegmund. A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents.
J. Differential Equations, 252(10), 5535-5554, 2012. Journal link, postprint , BibTeX
- A. Hadjighasem, D. Karrasch, H. Teramoto, G. Haller. A Spectral Clustering Approach to Lagrangian Vortex Detection.
- Theses
- D. Karrasch: Hyperbolicity and Invariant Manifolds for Finite-Time Processes
Dissertation, TU Dresden, 2012. - D. Karrasch. On Generalized Models
Diploma Thesis, TU Dresden, 2009.
- D. Karrasch: Hyperbolicity and Invariant Manifolds for Finite-Time Processes
Teaching
| SS 2017: | Numerische Mathematik (EI) (TU München, TA) | |
| WS 2016/17: | Numerical Programming 1 CSE (TU München, TA) | |
| SS 2016: | Hauptseminar "Dynamical Systems and Graphs" (Co-organizer) | |
| SS 2016: | Linear Algebra (IT) (TU München, Tutor) | |
| WS 2015/16: | Analysis 3 (EI) (TU München, TA) | |
| SS 2015: | Nonlinear Dynamics and Chaos 1 (ETH Zürich, Lecturer) |
Supervision
- Current
- Caroline Ziegler, Tentative topic: Computational Methods for Coherent Structure Detection (Ph.D. Applied Mathematics), 2016- (co-supervision with O. Junge)
- Irene Garnelo, Tentative topic: On topological and geometric data analysis approaches to dynamic data sets (M.Sc. Mathematics), 2017-
- Efdal Kalkan, Tentative topic: On the simulation of turbulent flows (M.Sc. Mathematics), 2017- (co-supervision with O. Junge)
- Past
- Bernd Huber, Topic: Geodesic Averaging of Diffusion Tensors (Research student), 2016
- Baykut Ayvaz, Topic: Computation of Coherent Sets by the Finite-Element Method (M.Sc. Mathematics), 2016-2017 (co-supervision with O. Junge)
- Florian Hofherr, Topic: Exact Quantification of Advective Mixing (B.Sc. Engineering Science), 2016
- Sabrina Balzer, Topic: Dimensionsreduktion in der Moleküldynamik (B.Sc. Engineering Science), 2016 (co-supervision with O. Junge)
Service
Reviewing| Zentralblatt Mathematik | and | Mathematical Reviews (AMS) |
Refereeing
