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Finite-Time Transport Structures of Flow Fields

Kuangyu Shi, Holger Theisel, Tino Weinkauf, Hans-Christian Hege, Hans-Peter Seidel
2008 2008 IEEE Pacific Visualization Symposium  
In this paper, we focus on the transport characteristics of physical quantities and propose an approach to visualize the finite-time transport structure of quantity advection.  ...  Recent research has highlighted the analysis of one transport structure which is called Lagrangian coherent structure. However, the quantity nature of the flow transport is still unclear.  ...  Parts of the work was funded by the Max-Planck center of visual computing and communication.  ... 
doi:10.1109/pacificvis.2008.4475460 dblp:conf/apvis/ShiTWHS08 fatcat:ziiqv5m4ubgrjon4hjaimsjxw4

Topological Features in Time-Dependent Advection-Diffusion Flow [chapter]

Filip Sadlo, Grzegorz K. Karch, Thomas Ertl
2014 Mathematics and Visualization  
However, transport of quantities in time-dependent flows has so far been topologically analyzed in terms of advection only, restricting the approach to quantities that are solely governed by advection.  ...  concerning the instantaneous structure, such as in the case of electric fields.  ...  Acknowledgements This work was supported by the Cluster of Excellence in Simulation Technology (EXC 310/1) and the Collaborative Research Center SFB-TRR 75 at University of Stuttgart.  ... 
doi:10.1007/978-3-319-04099-8_14 fatcat:o7m2ooae6zdktdgd7xy4wt4mhy

Uncertain Transport in Unsteady Flows [article]

Tobias Rapp, Carsten Dachsbacher
2020 arXiv   pre-print
We study uncertainty in the dynamics of time-dependent flows by identifying barriers and enhancers to stochastic transport.  ...  In addition, we propose a complementary visualization to convey the absolute scale of uncertainties in the Lagrangian frame of reference.  ...  Although it is possible to directly visualize the time-dependent variance of a Gaussian flow field, we are interested in the uncertainty of the transport, which is inherently defined in a Lagrangian frame  ... 
arXiv:2009.04531v1 fatcat:zevtebbptrgjvitf2tkvzouona

Lagrange2D: A Mathematica package for Lagrangian analysis of two-dimensional fluid flows [article]

William Gilpin
2019 arXiv   pre-print
This package aims to ease rapid characterization of arbitrary flows, by allowing identification of Lagrangian coherent structures and other quantities of interest.  ...  as finite-time Lyapunov exponents, stretching vector fields, the fractal dimension, and flushing times.  ...  Our package also contains utilities for generating videos of transport in time-varying flows, given a time-dependent velocity field as an input.  ... 
arXiv:1908.00717v1 fatcat:ntktmcfvifhgpaki265cbd6uie

Animation of Orthogonal Texture-Based Vector Field Visualization [article]

Sven Bachthaler, Daniel Weiskopf
2007 EUROVIS 2005: Eurographics / IEEE VGTC Symposium on Visualization  
In addition, a filtering process is described to achieve a consistent and temporally coherent animation of the orthogonal vector field visualization.  ...  This visualization is combined with animation based on motion along the vector field.  ...  The research in this paper has been supported in part by the Natural Sciences and Engineering Research Council (NSERC) of Canada. Special thanks to Bettina A. Salzer for proof-reading.  ... 
doi:10.2312/vissym/eurovis07/219-226 fatcat:zislxyx3ujhqxafiwvaug4nb5q

Lagrangian Coherent Structures and Vortex Formation in High Spatiotemporal‐Resolution Satellite Winds of an Atmospheric Kármán Vortex Street

T. Günther, Á. Horváth, W. Bresky, J. Daniels, S. A. Buehler
2021 Journal of Geophysical Research - Atmospheres  
Vortex streets formed in the cloudy wake of mountainous islands are the analogs of the classic Kármán vortex street observed in laboratory bluff-body flows.  ...  Numerical forecast models and large-eddy simulations are now capable of handling spatial grid resolutions at the lower end of the meso-gamma scale (2-20 km) in a sufficiently large domain (hundreds of  ...  A rather natural form to visualize a time-dependent flow is to visualize each time slice independently and play the time series as a video.  ... 
doi:10.1029/2021jd035000 fatcat:csimqvjhkvgmdiz72y5nplf3wu

Numerical Study of Axial Magnetic Effects on a Turbulent Thermal Plasma Jet for Nanopowder Production Using 3D Time-Dependent Simulation

Masaya Shigeta
2018 Journal of Flow Control Measurement and Visualization  
3D time-dependent simulations are performed using a computational method suitable for thermal plasma flows to capture a turbulent field induced by a thermal plasma jet and steep gradients in nanopowder  ...  A mathematical model with a simple form is developed to describe effectively simultaneous processes of growth and transport of nanopowder in/around a thermal plasma flow.  ...  of turbulent vortices using 3D time-dependent simulation.  ... 
doi:10.4236/jfcmv.2018.62010 fatcat:36ru2maeszfzfasrxpz3iekq2y

Flow Visualization via Partial Differential Equations [chapter]

Tobias Preusser, Martin Rumpf, Alex Telea
2009 Mathematics and Visualization  
The visualization of stationary and time-dependent flow is an important and challenging topic in scientific visualization.  ...  Its aim is to represent transport phenomena governed by vector fields in an intuitively understandable way.  ...  Thus, the method intuitively visualizes the vector field freezed at time t but offers only very limited insight in the actual transport process governed by the underlying time-dependent flow field.  ... 
doi:10.1007/b106657_9 fatcat:rbqn7uo7fjho5gxn6s2qm4vvzm

PDE methods in flow simulation post processing

Joachim Becker, Tobias Preusser, Martin Rumpf
2000 Computing and Visualization in Science  
Two novel methods are described which enable an easy perception of flow data. The texture transport method especially applies to timedependent velocity fields.  ...  Alternatively, the aligned diffusion methods serves as an appropriate scale space method for the visualization of complicated flow patterns.  ...  Acknowledgement The authors would like to acknowledge Karol Mikula and Jarke van Wijk for inspiring discussions and many useful comments on flow visualization and image processing.  ... 
doi:10.1007/pl00013547 fatcat:mqo2vc4punffjkujgla5knihmy

Visualizing Transport and Mixing in Particle-based Fluid Flows

Tobias Rapp, Carsten Dachsbacher
2019 International Symposium on Vision, Modeling, and Visualization  
To gain insight into large, time-dependent particle-based fluid flows, we visually analyze Lagrangian coherent structures (LCS), a robust skeleton of the underlying particle dynamics.  ...  Lastly, we apply our approach to study mixing in multiphase flows by visualizing the different types of fluids and their relation to the coherent structures.  ...  Furthermore, our findings indicate that the visual analysis based on Lagrangian coherent structures is an effective approach to study the transport behavior in time-dependent flows.  ... 
doi:10.2312/vmv.20191330 dblp:conf/vmv/RappD19 fatcat:zhbo4kstabctzppoe465kbmh7u

2011 IEEE Visualization Contest Winner: Visualizing Unsteady Vortical Behavior of a Centrifugal Pump

M. Otto, A. Kuhn, W. Engelke, H. Theisel
2012 IEEE Computer Graphics and Applications  
Further, we show that integration based methods (namely separation measures, accumulated scalar fields, particle path lines, and advection textures) are well suited to capture the complex time-dependent  ...  flow behavior.  ...  ACKNOWLEDGEMENTS The project SemSeg acknowledges the financial support of the Future and Emerging Technologies (FET) program within the Seventh Framework Program for Research of the European Commission  ... 
doi:10.1109/mcg.2012.95 pmid:24806983 fatcat:6m5nynyg4fgzbiewdywyavehuq

Lyapunov Time for 2D Lagrangian Visualization [chapter]

Filip Sadlo
2014 Mathematics and Visualization  
This not only provides significant visualizations related to time-dependent vector field topology, but at the same time incorporates uncertainty into trajectory-based visualization.  ...  Many concepts in computational flow visualization operate in the Lagrangian frame-they involve the integration of trajectories.  ...  Acknowledgements The author would like to thank the German Research Foundation (DFG) for financial support within the Cluster of Excellence in Simulation Technology (EXC 310).  ... 
doi:10.1007/978-3-662-44900-4_10 fatcat:owth22csnjci5m3fm26qegmpya

Lagrangian avenues of transport in the Earth's mantle

Judit Schneider, Joerg Schmalzl, Tamás Tél
2007 Chaos  
A method of visualizing and characterizing stirring structures of high Rayleigh number geophysical flows whose time dependence is strongly aperiodic is presented.  ...  The question is, how can these manifolds be visualized by means of the leaking method in chaotically time-dependent closed flows, and how can they be used to characterize stirring properties in the system  ...  A method of visualizing and characterizing stirring structures of high Rayleigh number geophysical flows whose time dependence is strongly aperiodic is presented.  ... 
doi:10.1063/1.2771416 pmid:17902997 fatcat:6ngjitge7ncqrnopdzky5nev6y

Physically-based Dye Advection for Flow Visualization

Guo-Shi Li, Xavier Tricoche, Charles Hansen
2008 Computer graphics forum (Print)  
Due to its physically based formulation, this approach is capable of conveying intricate flow structures not shown in the traditional dye advection schemes while avoiding visual artifacts.  ...  The evolution of dye patterns in the flow field is achieved by advecting individual control volumes, which collectively cover the entire spatial domain.  ...  Transport of Dye Material with Texture Advection There are several options to achieve the transport of dye material in the flow field.  ... 
doi:10.1111/j.1467-8659.2008.01201.x fatcat:4jb2nozqbjcd7h3pmqkgjn3eky

Comparative Visual Analysis of Lagrangian Transport in CFD Ensembles

Mathias Hummel, Harald Obermaier, Christoph Garth, Kenneth I. Joy
2013 IEEE Transactions on Visualization and Computer Graphics  
For ensembles of time-varying vector fields, there are numerous challenges for providing an expressive comparative visualization, among which is the requirement to relate the effect of individual flow  ...  An ensemble of a 2D convection flow field is analyzed using the proposed joint variance visualization techniques.  ...  ACKNOWLEDGMENTS This work was supported in part by the NSF (IIS 0916289 and IIS 1018097), and the Office of ASCR, Office of Science, through DOE SciDAC contract DE-FC02-06ER25780, and contract DE-FC02-  ... 
doi:10.1109/tvcg.2013.141 pmid:24051841 fatcat:ro6r3krzb5fxrdyybqfeuxzu5a
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