Topological Features in Time-Dependent Advection-Diffusion Flow

Sadlo, Filip; Karch, Grzegorz; Ertl, Thomas

doi:10.1007/978-3-319-04099-8_14

Cited by 3 publications

(3 citation statements)

References 33 publications

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“…Advective‐diffusive flow has been visualized using direct volumetric visualizations of dye‐advection [KSW*12]. Topological features of advective‐diffusive flows have been examined, however, the advection‐diffusion equation has only been solved in form of a secondary simulation step on top of a purely advective flow [SKE14].…”

Section: Foundations and Prior Workmentioning

confidence: 99%

“…However, so far mainly advective flows have been investigated while the complex flow of concentrations inside fluids, which additionally depends on diffusive flux, has not been considered in the context of integral line visualizations but only in direct volume rendering [KSW * 12] and visualization of topological features [SKE14] of dye-advection. Concentrations in the fluid have an impact on important physical quantities like surface tension, which, e.g., leads to the effect of Marangoni convection.…”

Section: Introductionmentioning

confidence: 99%

“…The most important approaches are volume rendering of concentration fields [EHK*06], vector field visualization of advection by means of line integral convolution [CL93], by tracing integral lines, and also by flow based surfaces [MLP*10]. However, so far mainly advective flows have been investigated while the complex flow of concentrations inside fluids, which additionally depends on diffusive flux, has not been considered in the context of integral line visualizations but only in direct volume rendering [KSW*12] and visualization of topological features [SKE14] of dye‐advection. Concentrations in the fluid have an impact on important physical quantities like surface tension, which, e.g., leads to the effect of Marangoni convection.…”

Section: Introductionmentioning

confidence: 99%

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Vector Field Visualization of Advective‐Diffusive Flows

Hochstetter

Wurm

Kolb

2015

Computer Graphics Forum

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We propose a framework for unified visualization of advective and diffusive concentration fluxes, which play a key role in many phenomena like, e.g. Marangoni convection and microscopic mixing. The main idea is the decomposition of fluxes into their concentration and velocity parts. Using this flux decomposition, we are able to convey advective-diffusive concentration transport using integral lines. In order to visualize superimposed flux effects, we introduce a new graphical metaphor, the stream feather, which adds extensions to stream tubes pointing in the directions of deviating fluxes. The resulting unified visualization of macroscopic advection and microscopic diffusion allows for deeper insight into complex flow scenarios that cannot be achieved with current volume and surface rendering techniques alone. Our approach for flux decomposition and visualization of advective-diffusive flows can be applied to any kind of (simulation) data if velocity and concentration data are available. We demonstrate that our techniques can easily be integrated into Smoothed Particle Hydrodynamics (SPH) based simulations.

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Section: Foundations and Prior Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%