Stream Surface Generation for Fluid Flow Solutions on Curvilinear Grids

Gelder, Allen Van

doi:10.1007/978-3-7091-6215-6_11

Cited by 7 publications

(6 citation statements)

References 5 publications

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“…To deal with this problem, we equivalently reformulate w 2 as an appropriate eigenvector of M. This eigenvector does not vanish along the vortex core line, but since eigenvectors have no orientation, an orientation-free integration of f is necessary here as well. 4 . To get the starting points for the first case, we search for the intersections of the PV lines with the boundary of D: for the boundary face x = x min , we search for all points (y, z) with s(x min , y, z) = (0, 0, 0) T .…”

Section: Obtaining the Feature Flow Field Fmentioning

confidence: 99%

“…4 This statement implies that our approach does not have to incorporate algorithms to detecting closed stream lines in flow fields [26], since we know in advance that our stream lines of interest in f are closed. 5 If a closed PV line completely lies in the y−z plane by chance, (9) gives many solutions.…”

Section: Obtaining the Feature Flow Field Fmentioning

confidence: 99%

“…A variety of fast and stable algorithms exist for this purpose. [6,24,4,17] • The stream surface integration approach is independent of an underlying grid, giving a subcell accuracy and relieving us of finding appropriate local connection strategies.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Extraction of Parallel Vector Surfaces in 3D Time-Dependent Fields and Application to Vortex Core Line Tracking

Theisel¹,

Sahner²,

Weinkauf³

et al.

VIS 05. IEEE Visualization, 2005.

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Figure 1: Flow behind a circular cylinder. Shown are vortex core lines in a certain frame of reference. Their evolution over time is tracked by our algorithm and depicted using transparent surfaces. Red color encodes the past while gray shows the future. ABSTRACTWe introduce an approach to tracking vortex core lines in timedependent 3D flow fields which are defined by the parallel vectors approach. They build surface structures in the 4D space-time domain. To extract them, we introduce two 4D vector fields which act as feature flow fields, i.e., their integration gives the vortex core structures. As part of this approach, we extract and classify local bifurcations of vortex core lines in space-time. Based on a 4D stream surface integration, we provide an algorithm to extract the complete vortex core structure. We apply our technique to a number of test data sets.

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Section: Obtaining the Feature Flow Field Fmentioning

confidence: 99%

Section: Obtaining the Feature Flow Field Fmentioning

confidence: 99%

See 1 more Smart Citation

Extraction of Parallel Vector Surfaces in 3D Time-Dependent Fields and Application to Vortex Core Line Tracking

Theisel¹,

Sahner²,

Weinkauf³

et al.

VIS 05. IEEE Visualization, 2005.

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show abstract

“…In fact, they were restricted to data sets with a rather low topological complexity [13,9,18]. A number of technical [14,8,29,33] and conceptional [20,21,31,34] improvements were necessary to make 3D topological methods applicable as standard tools.…”

Section: Vector Field Topology -Transition From 2d To 3dmentioning

confidence: 99%

Uncertain topology of 3D vector fields

Otto

Germer

Theisel

2011

2011 IEEE Pacific Visualization Symposium

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We present a technique to visualize global uncertainty in stationary 3D vector fields by a topological approach. We start from an existing approach for 2D uncertain vector field topology and extend this into 3D space. For this a number of conceptional and technical challenges in performance and visual representation arise. In order to solve them, we develop an acceleration for finding sink and source distributions. Having these distributions we use overlaps of their corresponding volumes to find separating structures and saddles. As part of the approach, we introduce uncertain saddle and boundary switch connectors and provide algorithms to extract them. For the visual representation, we use multiple direct volume renderings. We test our method on a number of synthetic and real data sets.

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“…A number of solutions have been proposed for the first problem, see [Hultquist 1992;Gelder 2001;Scheuermann et al 2001;van Wijk 1993].…”

Section: Introductionmentioning

confidence: 99%

Saddle connectors - an approach to visualizing the topological skeleton of complex 3D vector fields

Theisel

Weinkauf

Hege

et al.

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control

116

100

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a) Iconic representation. (b) Due to the shown separation surfaces, the topological skeleton of the vector field looks visually cluttered. (c) Visualization of the topological skeleton using saddle connectors.Figure 1: Topological representations of the benzene data set with 184 critical points. AbstractOne of the reasons that topological methods have a limited popularity for the visualization of complex 3D flow fields is the fact that such topological structures contain a number of separating stream surfaces. Since these stream surfaces tend to hide each other as well as other topological features, for complex 3D topologies the visualizations become cluttered and hardly interpretable. This paper proposes to use particular stream lines called saddle connectors instead of separating stream surfaces and to depict single surfaces only on user demand. We discuss properties and computational issues of saddle connectors and apply these methods to complex flow data. We show that the use of saddle connectors makes topological skeletons available as a valuable visualization tool even for topologically complex 3D flow data.

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Stream Surface Generation for Fluid Flow Solutions on Curvilinear Grids

Cited by 7 publications

References 5 publications

Extraction of Parallel Vector Surfaces in 3D Time-Dependent Fields and Application to Vortex Core Line Tracking

Extraction of Parallel Vector Surfaces in 3D Time-Dependent Fields and Application to Vortex Core Line Tracking

Uncertain topology of 3D vector fields

Saddle connectors - an approach to visualizing the topological skeleton of complex 3D vector fields

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