Deformation of 2D flow fields using stream functions

Sato, Syuhei; Dobashi, Yoshinori; Iwasaki, Kei; Yamamoto, Tsuyoshi; Nishita, Tomoyuki

doi:10.1145/2669024.2669039

Cited by 7 publications

(2 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Flow deformation By using scalar stream functions, we have previously shown that 2D flow fields can be deformed while guaranteeing the incompressibility [18]. In this paper, we show that 3D flow fields can be deformed in an incompressible way as well, by using vector potentials.…”

Section: Model Reductionmentioning

confidence: 73%

See 1 more Smart Citation

Incompressibility-preserving deformation for fluid flows using vector potentials

Sato¹,

Dobashi

Yue

et al. 2015

Vis Comput

Self Cite

View full text Add to dashboard Cite

Physically based fluid simulations usually require expensive computation cost for creating realistic animations. We present a technique that allows the user to create various fluid animations from an input fluid animation sequence, without the need for repeatedly performing simulations. Our system allows the user to deform the flow field in order to edit the overall fluid behavior. In order to maintain plausible physical behavior, we ensure the incompressibility to guarantee the mass conservation. We use a vector potential for representing the flow fields to realize such incompressibility-preserving deformations. Our method first computes (time-varying) vector potentials from the input velocity field sequence. Then, the user deforms the vector potential, and the system computes the deformed velocity field by taking the curl operator on the vector potential. The incompressibility is thus obtained by construction. We show various examples to demonstrate the usefulness of our method. Electronic supplementary materialThe online version of this article (

show abstract

Section: Model Reductionmentioning

confidence: 73%

“…For the sake of visual clarity, we used a 2D flow field as demonstration. The 2D analog of the 3D vector potential is a scalar function called stream function, computed from the 2D velocity field using our previous work [18].…”

Section: The Importance Of Divergence-free Aware Deformationmentioning

confidence: 99%

Incompressibility-preserving deformation for fluid flows using vector potentials

Sato¹,

Dobashi

Yue

et al. 2015

Vis Comput

Self Cite

View full text Add to dashboard Cite

show abstract

A geometric control of fire motion editing

et al. 2016

View full text Add to dashboard Cite

Feature-based deformation for flow visualization

Straub,

Sadlo,

Ertl

2024

J Vis

View full text Add to dashboard Cite

We present an approach that supports the analysis of flow dynamics in the neighborhood of curved line-type features, such as vortex core lines, attachment lines, and trajectories. We achieve this with continuous deformation to the flow field to straighten such features. This provides “deformed frames of reference”, within which qualitative flow dynamics are better observable with respect to the feature. Our approach operates at interactive rates on graphics hardware, and supports exploration of large and complex datasets by continuously navigating the additional degree of freedom of deformation. We demonstrate the properties and the utility of our approach using synthetic and simulated flow fields, with a focus on the application to vortex core lines. Graphical abstract

show abstract

Deformation of 2D flow fields using stream functions

Cited by 7 publications

References 11 publications

Incompressibility-preserving deformation for fluid flows using vector potentials

Incompressibility-preserving deformation for fluid flows using vector potentials

A geometric control of fire motion editing

Feature-based deformation for flow visualization

Contact Info

Product

Resources

About