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.deNews
- January 2022: Our joint paper "Carriers of Sargassum and mechanism for coastal inundation in the Caribbean Sea"
with 5 co-authors was accepted for publication in Physics of Fluids and was chosen as an Editor's Pick and featured as a Scilight !
- November 2021: Our joint paper "Carriers of Sargassum and mechanism for coastal inundation in the Caribbean Sea" with 5 co-authors was submitted for publication.
- November 2020: Our joint paper "Genesis, evolution, and apocalypse of Loop Current rings" with Fernando Andrade-Canto and Fernando Javier Beron-Vera was featured by Physics of Fluids . Among other things, it's an awesome application (and reward) of our Julia package CoherentStructures.jl.
Short 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
- Scientific computing and programming in Julia
- Numerical linear algebra, lazy linear algebra
Research projects
Upcoming and recent activities
Publications
See also zbMATH, MathSciNet , arXiv ,
Publons , Scopus , GoogleScholar , ResearchGate , ORCiD , or my GitHub page
for my programming activities. - Preprints
- D. Karrasch, N. Schilling. A Lagrangian perspective on nonautonomous advection-diffusion processes in the low-diffusivity limit.
- D. Karrasch, N. Schilling. A Lagrangian perspective on nonautonomous advection-diffusion processes in the low-diffusivity limit.
- Peer-reviewed articles
- F. A. Canto, F. J. Beron-Vera, G. J. Goni, D. Karrasch, M. J. Olascoaga, J. Triñanes. Carriers of Sargassum and mechanism for coastal inundation in the Caribbean Sea. Physics of Fluids, 34(1), 016602, 2022. Journal link , preprint
- N. Schilling and D. Karrasch and O. Junge. Heat-content and diffusive leakage from material sets in the low-diffusivity limit. Nonlinearity, 34(10), 7303-7321, 2021. Journal link , preprint
- F. Andrade-Canto, D. Karrasch, and F. J. Beron-Vera. Genesis, evolution, and apocalypse of Loop Current rings. Physics of Fluids, 32(11), 116603, 2020. Journal link , preprint
- D. Karrasch, N. Schilling. Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domains. SMAI Journal of Computational Mathematics, Vol. 6, 101-124, 2020. Journal link , postprint
Supplementary Material: animation of parameter study of a 2d turbulence simulation (video) - D. Karrasch, J. Keller. A geometric heat-flow theory of Lagrangian coherent structures. Journal of Nonlinear Science Journal link (open access) postprint ,
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) - G. Haller, D. Karrasch, and F. Kogelbauer. Barriers to the Transport of Diffusive Scalars in Compressible Flows.
SIAM J Appl. Dyn. Sys. 19(1), 85-123, 2020. Journal link, postprint
- G. Haller, D. Karrasch, and F. Kogelbauer. Material barriers to diffusive and stochastic transport.
Proceedings of the National Academy of Sciences, 2018. Journal link (open access)
- F. Hofherr, D. Karrasch. Lagrangian Transport Through Surfaces in Compressible Flows.
SIAM J Appl. Dyn. Sys. 17(1), 526–546, 2018. Journal link, postprint , BibTeX.
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)
- 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
- F. A. Canto, F. J. Beron-Vera, G. J. Goni, D. Karrasch, M. J. Olascoaga, J. Triñanes. Carriers of Sargassum and mechanism for coastal inundation in the Caribbean Sea. Physics of Fluids, 34(1), 016602, 2022. Journal link
- 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
- Nonrefereed/Unpublished
- An Introduction to Grassmann Manifolds and their Matrix Representation: Some people have found this helpful: appendix B from my PhD thesis.
Teaching
| WS 2021/22: | Numerics of Differential Equations (TU München, TA) | |
| WS 2021/22: | Introduction to Programming (TU München, Lecturer) | |
| SS 2021: | Numerical Mathematics for Electrical Engineering (TU München, TA) | |
| WS 2020/21: | Introduction to Programming (TU München, Lecturer) | |
| SS 2020: | Analysis 2 for Electrical Engineers (TU München, TA) | |
| WS 2019/20: | Numerics of Dynamical Systems (TU München, TA) |
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| WS 2019/20: | Introduction to Nonlinear Dynamics (TU München, TA) | |
| SS 2019: | Dynamical Systems (TU München, Lecturer) |
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| WS 2018/19: | Einführung in die Numerische Lineare Algebra (MA 1304) (TU München, TA) |
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| WS 2018/19: | Einführung in die Programmierung (MA8003) (TU München, Lecturer) | |
| SS 2018: | Dynamical Systems (TU München, TA) | |
| WS 2017/18: | Geometric Continuum Mechanics (MA5339) (TU München, Lecturer) | |
| 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
- Past
- Nathanael Schiling, Topic: Characterization and efficient computation of Lagrangian coherent structures (Ph.D. Applied Mathematics, TopMath), 2018-2021 (co-supervision with O. Junge)
- Bodo Lipp, Topic: Simulation of a globally resolved energy balance model (B.Sc. Mathematics), 2020
- Nathanael Schilling, Topic: Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domains (M.Sc. Mathematics, TopMath), 2019
- Phillip Rohrmüller, Topic: On numerical integration of the diffusion equation with time- and space-dependent diffusion coefficients (B.Sc. Mathematics), 2018-2019. (now M.Sc. Mathematics student at TUM)
- Andreas Kohl, Topic: Efficient Computation of Derivatives of Flow Maps (M.Sc. Mathematics), 2017-2018
- Efdal Kalkan, Topic: On the simulation of turbulent flows (M.Sc. Mathematics), 2017-2018 (co-supervision with O. Junge)
- Irene Garnelo Abellanas, Topic: Applications of topological and geometrical data analysis to dynamical data sets (M.Sc. Mathematics), 2017. (was Data Scientist at Würth Elektronik, now Ph.D. student at TUM)
- 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. See our accepted preprint . (now M.Sc. Mathematics student at TUM)
- Sabrina Balzer, Topic: Dimensionsreduktion in der Moleküldynamik (B.Sc. Engineering Science), 2016 (co-supervision with O. Junge) (now M.Sc. Mathematics student at TUM)
Service
Reviewing Zentralblatt Mathematik, Mathematical Reviews (AMS) , and National Science Foundation (NSF) Refereeing Applied Math
Refereeing Fluid Physics
| Physical Review X | Physical Review E | Ocean Modelling |
| Physics of Fluids | Quarterly Journal of the Royal Meteorological Society | Environmental Fluid Mechanics |
