@article{KastenReininghausHotzetal.2011, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian}, title = {Two-Dimensional Time-Dependent Vortex Regions Based on the Acceleration Magnitude}, series = {IEEE Transactions on Visualization and Computer Graphics}, volume = {17}, journal = {IEEE Transactions on Visualization and Computer Graphics}, number = {12}, pages = {2080 -- 2087target}, year = {2011}, language = {en} } @inproceedings{ReininghausGuentherHotzetal.2010, author = {Reininghaus, Jan and G{\"u}nther, David and Hotz, Ingrid and Prohaska, Steffen and Hege, Hans-Christian}, title = {TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory}, series = {Mathematical Software - ICMS 2010}, volume = {6327}, booktitle = {Mathematical Software - ICMS 2010}, publisher = {Springer}, doi = {10.1007/978-3-642-15582-6_35}, pages = {198 -- 208}, year = {2010}, language = {en} } @article{KastenReininghausHotzetal.2016, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, series = {Archives of Mechanics}, volume = {68}, journal = {Archives of Mechanics}, number = {1}, pages = {55 -- 80}, year = {2016}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @misc{KastenReininghausHotzetal., author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-58397}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @misc{GuentherReininghausProhaskaetal.2012, author = {G{\"u}nther, David and Reininghaus, Jan and Prohaska, Steffen and Weinkauf, Tino and Hege, Hans-Christian}, title = {Efficient Computation of a Hierarchy of Discrete 3D Gradient Vector Fields}, series = {Topological Methods in Data Analysis and Visualization II}, journal = {Topological Methods in Data Analysis and Visualization II}, editor = {Peikert, Ronny and Hauser, Helwig and Carr, Hamish}, publisher = {Springer}, doi = {10.1007/978-3-642-23175-9_2}, pages = {15 -- 29}, year = {2012}, language = {en} } @misc{KastenReininghausOberleithneretal.2010, author = {Kasten, Jens and Reininghaus, Jan and Oberleithner, Kilian and Hotz, Ingrid and Noack, Bernd and Hege, Hans-Christian}, title = {Flow over a Cavity - Evolution of the Vortex Skeleton}, publisher = {Visualization at 28th Annual Gallery of Fluid Motion exhibit, held at the 63th Annual Meeting of the American Physical Society, Division of Fluid Dynamics (Long Beach, CA, USA, November 21-23, 2010).}, year = {2010}, language = {en} }