Constructing streak surfaces for 3D unsteady vector fields

McLoughlin, Tony; Laramee, Robert S.; Zhang, Eugene

doi:10.1145/1925059.1925066

Cited by 7 publications

(6 citation statements)

References 19 publications

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“…Streaklines and streak surfaces are becoming increasingly popular in the flow visualization community; for numerically constructing DRs, one could borrow methods developed there [26,17]. Analysis on the differential of the flow map along pathlines often leads to invariant or nearly invariant manifolds, the essential building blocks of a flow topology.…”

Section: Discussionmentioning

confidence: 99%

On Donating Regions: Lagrangian Flux through a Fixed Curve

Zhang¹

2013

SIAM Rev.

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Lagrangian flux through a fixed curve segment naturally gives rise to the notion of a donating region, a compact point set in which each particle will pass through the curve and contribute to the flux. A precise geometric determination of the donating region has not been available until now. The author proposes an explicit, constructive, and analytical definition of the donating region based on two characteristic curves of the flow field, viz. streaklines and timelines. It is also shown that, within a time interval of finite size, each particle in the proposed donating region has a net effect of going across the fixed curve once. The presented analysis might be potentially useful for flow topology studies, Lagrangian flux calculation, and explicit interface tracking.

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Section: Discussionmentioning

confidence: 99%

On Donating Regions: Lagrangian Flux through a Fixed Curve

Zhang¹

2013

SIAM Rev.

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“… A streaksurface depicting a flow behind a square cylinder simulation. Streaksurfaces are well suited for visualizing the complex structures occurring in unsteady flow [ MLZ09a ]. …”

Section: Surface‐based Integral Objectsmentioning

confidence: 99%

Over Two Decades of Integration‐Based, Geometric Flow Visualization

McLoughlin

Laramee

Peikert

et al. 2010

Computer Graphics Forum

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271

160

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Flow visualization is a fascinating sub-branch of scientific visualization. With ever increasing computing power, it is possible to process ever more complex fluid simulations. However, a gap between data set sizes and our ability to visualize them remains. This is especially true for the field of flow visualization which deals with large, timedependent, multivariate simulation datasets. In this paper, geometry based flow visualization techniques form the focus of discussion. Geometric flow visualization methods place discrete objects in the vector field whose characteristics reflect the underlying properties of the flow. A great amount of progress has been made in this field over the last two decades. However, a number of challenges remain, including placement, speed of computation, and perception. In this survey, we review and classify geometric flow visualization literature according to the most important challenges when considering such a visualization, a central theme being the seeding object upon which they are based. This paper details our investigation into these techniques with discussions on their applicability and their relative merits and drawbacks. The result is an up-to-date overview of the current state-of-the-art that highlights both solved and unsolved problems in this rapidly evolving branch of research. It also serves as a concise introduction to the field of flow visualization research.

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“…[SRWS10]s. [vFWTS08a]t, [KGJ09]t, [BFTW09]t, [MLZ10]t, [FBTW10]t, [vW93] between seeding and occlusion of integral surfaces. Seeding too many surfaces, or seeding them in such a way that they occupy the same region of the domain leads to high levels of occlusion.…”

Section: Constructing Surfaces For Flow Visualization Integral: Streamentioning

confidence: 99%

“…Extending their work on quad-based stream and path surfaces, McLoughlin et al [MLZ10] present a novel streak surface algorithm using quad primitives. The refinement of the surface is achieved by performing local operations on a quadby-quad basis.…”

Section: Streak/time Surface Constructionmentioning

confidence: 99%

Surface-based flow visualization

Edmunds

Laramee

Chen

et al. 2012

Computers & Graphics

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With increasing computing power, it is possible to process more complex fluid simulations. However, a gap between increasing data size and our ability to visualize them still remains. Despite the great amount of progress that has been made in the field of flow visualization over the last two decades, a number of challenges remain. Whilst the visualization of 2D flow has many good solutions, the visualization of 3D flow still poses many problems. Challenges such as domain coverage, speed of computation, and perception remain key directions for further research. Flow visualization with a focus on surface-based techniques forms the basis of this literature survey, including surface construction techniques and visualization methods applied to surfaces. We detail our investigation into these algorithms with discussions of their applicability and their relative strengths and drawbacks. We review the most important challenges when considering such visualizations. The result is an up-to-date overview of the current state-of-the-art that highlights both solved and unsolved problems in this rapidly evolving branch of research.

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Constructing streak surfaces for 3D unsteady vector fields

Cited by 7 publications

References 19 publications

On Donating Regions: Lagrangian Flux through a Fixed Curve

On Donating Regions: Lagrangian Flux through a Fixed Curve

Over Two Decades of Integration‐Based, Geometric Flow Visualization

Surface-based flow visualization

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