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Lagrangian Visualization of Flow-Embedded Surface Structures

Christoph Garth, Alexander Wiebel, Xavier Tricoche, Ken Joy, Gerik Scheuermann
<span title="">2008</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p2lpq6bugfcqxk44anrm6yki4m" style="color: black;">Computer graphics forum (Print)</a> </i> &nbsp;
We apply these concepts to enable the analysis of flows in the immediate vicinity of the boundaries of flow-embedded objects by limiting the Lagrangian analysis to surfaces closely neighboring these boundaries  ...  The powerful yet conceptually simple notions of Finite-Time Lyapunov Exponent (FTLE) and Lagrangian Coherent Structures provide a powerful framework for the analysis and visualization of complex technical  ...  Thanks also go to the FAnToM development group at the University of Leipzig.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/j.1467-8659.2008.01236.x">doi:10.1111/j.1467-8659.2008.01236.x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/s7hbfnbfyvctzli4x2td7f2oly">fatcat:s7hbfnbfyvctzli4x2td7f2oly</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170813044606/https://www.cs.purdue.edu/cgvlab/papers/xmt/boundary.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5d/c4/5dc43f3ef8b4310bc292c565f4bfafff6b4b783c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/j.1467-8659.2008.01236.x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Insights on the three-dimensional Lagrangian geometry of the Antarctic Polar Vortex

Jezabel Curbelo, Victor J. García-Garrido, Carlos R. Mechoso, Ana M. Mancho, Stephen Wiggins, Coumba Niang
<span title="2017-02-16">2017</span> <i title="Copernicus GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/v46633saa5a2jbwwuajmbp332q" style="color: black;">Nonlinear Processes in Geophysics Discussions</a> </i> &nbsp;
The evolution of Lagrangian coherent structures is discussed and connections with the stratosphere is examined.  ...  The present paper introduces an algorithm for the visualization, analysis and verification of transport and mixing processes in three-dimensional atmospheric flows.  ...  Invariant manifolds acting as transport barriers in 3D flows may have the structure of convoluted 2D surfaces embedded in a volume (Branicki and Wiggins, 2009) .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/npg-2017-8">doi:10.5194/npg-2017-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/srbp45ji7rav5dcepdclk2cdzm">fatcat:srbp45ji7rav5dcepdclk2cdzm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200214164652/https://www.nonlin-processes-geophys-discuss.net/npg-2017-8/npg-2017-8.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4c/a0/4ca04d5d7bf6a07cd75f36337ae48ae23f32c205.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/npg-2017-8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Experimental visualization of Lagrangian coherent structures in aperiodic flows

A. Chrisohoides, F. Sotiropoulos
<span title="">2003</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fbqxosazkbhcdjqeamob3s7wmm" style="color: black;">Physics of Fluids</a> </i> &nbsp;
visualizing the structure and dynamics of LCS in aperiodic flows are yet to be developed.  ...  In this Letter we introduce a technique for visualizing LCS in turbulent free-surface flows.  ...  Sturm for his help with the set up of the laboratory flume. This work was supported by NSF Career Grant No. 9875691.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1540111">doi:10.1063/1.1540111</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kud3aftgyrakfcehxhv5yn4ema">fatcat:kud3aftgyrakfcehxhv5yn4ema</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20040727103934/http://www.water.ce.gatech.edu:80/~fsotirop/Reprint-PF-2003.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fa/e4/fae4e054ffa46e815f11ffc4833e15c0d5e21fff.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1540111"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

A Hybrid Lagrangian-Eulerian Model for the Structural Analysis of Multifield Datasets [article]

Zi'ang Ding, Xavier Tricoche
<span title="2022-03-22">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We present in this paper a new hybrid Lagrangian-Eulerian model that extends existing Lagrangian visualization techniques to the analysis of multifields problems.  ...  In particular, our approach factors in the entire data space to reveal the structure of multifield datasets, thereby combining both Eulerian and Lagrangian perspectives.  ...  The resulting ridge surfaces successfully capture the structure of the hurricane eye wall in this dataset.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2203.11398v1">arXiv:2203.11398v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cbkgyytedjc4phwshjywjfe47i">fatcat:cbkgyytedjc4phwshjywjfe47i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220523185954/https://arxiv.org/pdf/2203.11398v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ef/35/ef35f89b4374efbfd3163879c3f766ec1b130687.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2203.11398v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Multi-scale geometric analysis of Lagrangian structures in isotropic turbulence

YUE YANG, D. I. PULLIN, IVÁN BERMEJO-MORENO
<span title="2010-05-17">2010</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/npxt45v4ujbozk2ncu3tmta4ci" style="color: black;">Journal of Fluid Mechanics</a> </i> &nbsp;
The surface area growth rate of the Lagrangian structure was quantified and the formation of stretched and rolled-up structures was observed in straining regions and stretched vortex tubes, respectively  ...  The temporal evolution of Lagrangian structures was first obtained by extracting iso-surfaces of φ with resolution 1024 3 at different times, from t = 0 to t = T e , where T e is the eddy turnover time  ...  Pullin benefited from support during a visit to the Center for Water Research at the University of Western Australia.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0022112010000571">doi:10.1017/s0022112010000571</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/y2zorglfzzhabdxveugnpga5sq">fatcat:y2zorglfzzhabdxveugnpga5sq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171202090259/https://authors.library.caltech.edu/19286/1/Yang2010p10836J_Fluid_Mech.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0a/89/0a8940abbe01c094408f43ca8133af6c3e59bfb7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0022112010000571"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> cambridge.org </button> </a>

Beyond Topology: A Lagrangian Metaphor to Visualize the Structure of 3D Tensor Fields [chapter]

Xavier Tricoche, Mario Hlawitschka, Samer Barakat, Christoph Garth
<span title="">2012</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/k6cwcpfsu5gs7bvkoa5pdlbe6q" style="color: black;">Mathematics and Visualization</a> </i> &nbsp;
To do so, we introduce a Lagrangian metaphor that transposes to the structural analysis of eigenvector fields a perspective that is commonly used in the study of fluid flows.  ...  This allows us to analyze the structure of a tensor field through the behavior of fictitious particles advected by this flow.  ...  Acknowledgements This work was supported in part by a gift from Intel Visual Computing initiative.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-27343-8_5">doi:10.1007/978-3-642-27343-8_5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pfqgqkeyfrgkfpsddeai66oazi">fatcat:pfqgqkeyfrgkfpsddeai66oazi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809005909/https://www.cs.purdue.edu/homes/xmt/papers/beyond_topology.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/45/3c/453c46f0e1891cc3cca901cb95921639e5c1b633.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-27343-8_5"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Insights into the three-dimensional Lagrangian geometry of the Antarctic polar vortex

Jezabel Curbelo, Víctor José García-Garrido, Carlos Roberto Mechoso, Ana Maria Mancho, Stephen Wiggins, Coumba Niang
<span title="2017-07-25">2017</span> <i title="Copernicus GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/it62hbcxdjh4be6rrsirv52a4i" style="color: black;">Nonlinear Processes in Geophysics</a> </i> &nbsp;
We analyse and visualize these structures using Lagrangian descriptor function <i>M</i>. The procedure for calculation with reanalysis data is explained.  ...  Our results provide new insights into the Lagrangian structure of the vertical extension of the stratospheric polar vortex and its evolution.  ...  Conclusions In the present paper we discuss the visualization of threedimensional Lagrangian structures in atmospheric flows.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/npg-24-379-2017">doi:10.5194/npg-24-379-2017</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cqkn73zi2jfxratpawmw7hs3lm">fatcat:cqkn73zi2jfxratpawmw7hs3lm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171202224659/https://www.nonlin-processes-geophys.net/24/379/2017/npg-24-379-2017.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/97/a0/97a0be5f522f89120e609b8445c870c599e6013c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/npg-24-379-2017"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Current Development of Flow Visualization: Techniques and Methods

<span title="2020-11-12">2020</span> <i title="Academy of Sciences Malaysia"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/l73ar27ltnfzxnzh3svxxncx5e" style="color: black;">ASM Science Journal</a> </i> &nbsp;
In this era of big data, flow visualization is important to provide a compelling method of exploring, analysing and presenting large-scale flow field data.  ...  The reviewed methods will be compared and evaluated to determine the optimal approach of flow visualization.  ...  Surface flow visualization using the closest point embedding. IEEE PacificVis,17-23. Laramee, R.S., Jobard, B. & Hauser, H. (2003). Image space based visualization of unsteady flow on surfaces.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.32802/asmscj.2020.sm26(5.3)">doi:10.32802/asmscj.2020.sm26(5.3)</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cnbwlknbhzaunkrgh235w5i4v4">fatcat:cnbwlknbhzaunkrgh235w5i4v4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210428073523/https://www.akademisains.gov.my/asmsj/?mdocs-file=5691" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/35/66/35661ef23aa78e176669b755275205431a3ecb21.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.32802/asmscj.2020.sm26(5.3)"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Direct experimental visualization of the global Hamiltonian progression of two-dimensional Lagrangian flow topologies from integrable to chaotic state

O. Baskan, M. F. M. Speetjens, G. Metcalfe, H. J. H Clercx
<span title="">2015</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jh7idzebgzcuffjreetqux4374" style="color: black;">Chaos</a> </i> &nbsp;
ACKNOWLEDGMENTS This work has been supported by the Dutch Technology Foundation STW (Project No. 11054), which is part of The Netherlands Organisation for Scientific Research (NWO).  ...  [15] [16] [17] [18] However, direct experimental visualization of the global Hamiltonian progression of 2D Lagrangian flow topologies entirely from integrable to chaotic state is, to the best of our  ...  This structure, by virtue of linearity of Stokes flows, carries over to the internal flow, yielding uðxÞ ¼ X 1 n¼1 a n u n ðxÞ; with u n the elementary flow field given by the analytical solution of Hwu  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4930837">doi:10.1063/1.4930837</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26520072">pmid:26520072</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2qcxnykjmrcrfkluhrnzkjbcxa">fatcat:2qcxnykjmrcrfkluhrnzkjbcxa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190308153540/http://pdfs.semanticscholar.org/f538/228598805cdd6fbc8974f65083f5d8bf618f.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f5/38/f538228598805cdd6fbc8974f65083f5d8bf618f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4930837"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

A multi-resolution interpolation scheme for pathline based Lagrangian flow representations

Alexy Agranovsky, Harald Obermaier, Christoph Garth, Kenneth I. Joy, David L. Kao, Ming C. Hao, Mark A. Livingston, Thomas Wischgoll
<span title="2015-02-08">2015</span> <i title="SPIE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cfqawehfl5ds7iznds3i2hxcyq" style="color: black;">Visualization and Data Analysis 2015</a> </i> &nbsp;
Where the computation of particle trajectories in classic vector field representations includes computationally involved numerical integration, a Lagrangian representation in the form of a flow map opens  ...  , non-iterative, multi-resolution path and time surface extraction.  ...  Other flow structure construction techniques 14 make direct use of sample trajectories as well, but do not aim at the creation of adaptive integral surface structures.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.2083253">doi:10.1117/12.2083253</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/vda/AgranovskyOGJ15.html">dblp:conf/vda/AgranovskyOGJ15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/62elrhktejf7pksfa6sgkk4k4i">fatcat:62elrhktejf7pksfa6sgkk4k4i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190302222539/http://pdfs.semanticscholar.org/a323/ab93e5533460ed8a9d4ce431b38a4fa33fa6.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a3/23/a323ab93e5533460ed8a9d4ce431b38a4fa33fa6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.2083253"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Ordering of trajectories reveals hierarchical finite-time coherent sets in Lagrangian particle data: detecting Agulhas rings in the South Atlantic Ocean

David Wichmann, Christian Kehl, Henk A. Dijkstra, Erik van Sebille
<span title="2021-01-19">2021</span> <i title="Copernicus GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/it62hbcxdjh4be6rrsirv52a4i" style="color: black;">Nonlinear Processes in Geophysics</a> </i> &nbsp;
We apply OPTICS directly to Lagrangian trajectory data in the Bickley jet model flow and successfully detect the expected vortices and the jet.  ...  background flow.  ...  This work was partially carried out on the Dutch national e-infrastructure, with the support of SURF Cooperative (project no. 16371).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/npg-28-43-2021">doi:10.5194/npg-28-43-2021</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4nehgnvr4jbljhwwhdtywdelym">fatcat:4nehgnvr4jbljhwwhdtywdelym</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210127165706/https://npg.copernicus.org/articles/28/43/2021/npg-28-43-2021.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/cb/de/cbde6f974ef2b2c38344c0f70a01335c4a847299.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/npg-28-43-2021"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

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

Sven Bachthaler, Daniel Weiskopf
<span title="">2007</span> <i title="The Eurographics Association"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qph344zobjev7kmke2ozk33mwi" style="color: black;">EUROVIS 2005: Eurographics / IEEE VGTC Symposium on Visualization</a> </i> &nbsp;
We present respective visualization algorithms for 2D planar vector fields and tangential vector fields on curved surfaces, and demonstrate that those algorithms lend themselves to efficient and interactive  ...  In addition, a filtering process is described to achieve a consistent and temporally coherent animation of the orthogonal vector field visualization.  ...  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.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2312/vissym/eurovis07/219-226">doi:10.2312/vissym/eurovis07/219-226</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zislxyx3ujhqxafiwvaug4nb5q">fatcat:zislxyx3ujhqxafiwvaug4nb5q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220117220225/https://diglib.eg.org/xmlui/bitstream/handle/10.2312/VisSym.EuroVis07.219-226/219-226.pdf;jsessionid=4DC9733DFB67FF28460A583D74C5475B?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5b/0f/5b0f687cae594c712b81b052d12a0c598503928d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2312/vissym/eurovis07/219-226"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

On Lagrangian and vortex-surface fields for flows with Taylor–Green and Kida–Pelz initial conditions

YUE YANG, D. I. PULLIN
<span title="">2010</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/npxt45v4ujbozk2ncu3tmta4ci" style="color: black;">Journal of Fluid Mechanics</a> </i> &nbsp;
Rolled-up local shapes are found in the Lagrangian structures that were initially vortex surfaces close to the time of vortex reconnection.  ...  By tracking φ as a Lagrangian field in slightly viscous flows, we show that the well-defined evolution of Lagrangian surfaces that are initially vortex surfaces can be a good approximation to vortex surfaces  ...  This observation is also visualized as the appearance of rolled-up structures at the edge of the vortex surface in figure 14(d ).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0022112010003125">doi:10.1017/s0022112010003125</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/aaaenb5aaffczp6dnoqftn5qki">fatcat:aaaenb5aaffczp6dnoqftn5qki</a> </span>
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Attracting Lagrangian coherent structures on Riemannian manifolds

Daniel Karrasch
<span title="">2015</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jh7idzebgzcuffjreetqux4374" style="color: black;">Chaos</a> </i> &nbsp;
It is a wide-spread convention to identify repelling Lagrangian Coherent Structures (LCSs) with ridges of the forward finite-time Lyapunov exponent (FTLE) field, and attracting LCSs with ridges of the  ...  We apply these results to the attracting FTLE ridge of the incompressible saddle flow.  ...  Strain-surfaces are normally repelling flow structures, while stretch-surfaces are normally attracting. Both types admit no Lagrangian shear 17 .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4928451">doi:10.1063/1.4928451</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26328582">pmid:26328582</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rwxg265m4zdd3l35jqbxmonstu">fatcat:rwxg265m4zdd3l35jqbxmonstu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190223153038/http://pdfs.semanticscholar.org/51de/044d481d934a7fa80b43d89f47e25dff0cd9.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/51/de/51de044d481d934a7fa80b43d89f47e25dff0cd9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4928451"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Wall Shear Stress Topological Skeleton Analysis in Cardiovascular Flows: Methods and Applications

Valentina Mazzi, Umberto Morbiducci, Karol Calò, Giuseppe De Nisco, Maurizio Lodi Rizzini, Elena Torta, Giuseppe Carlo Alp Caridi, Claudio Chiastra, Diego Gallo
<span title="2021-03-26">2021</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ye33srllvnanjouxn4tmrfgjsq" style="color: black;">Mathematics</a> </i> &nbsp;
flows.  ...  A marked interest has recently emerged regarding the analysis of the wall shear stress (WSS) vector field topological skeleton in cardiovascular flows.  ...  Steinman for providing the patient-specific computational hemodynamic model of carotid bifurcation. Conflicts of Interest: The authors declare no conflict of interest. Mathematics 2021, 9, 720  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math9070720">doi:10.3390/math9070720</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7uqkp5qp7rgpxom3qz43o46gqa">fatcat:7uqkp5qp7rgpxom3qz43o46gqa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210717000704/https://res.mdpi.com/d_attachment/mathematics/mathematics-09-00720/article_deploy/mathematics-09-00720-v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/35/c1/35c1a862ba93affde2e835a7f057b848e49e2b75.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math9070720"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>
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