Towards optimal advection using stretch-maximizing stream surfaces

Michael Bartoň; Jiří Kosinka

doi:10.1016/j.cagd.2017.02.010

Towards optimal advection using stretch-maximizing stream surfaces

Michael Bartoň^*, Jiří Kosinka

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretch-maximizing manner, i.e., curves that infinitesimally expand most progressively. We show that such a curve is generically unique at every point in an incompressible flow and offers a very good initial guess for a stretch-maximizing stream surface. With the application of efficient fluid advection–diffusion in mind, we optimize fluid injection towards optimal advection and show several examples on benchmark datasets.

Original language	English (US)
Pages (from-to)	3-12
Number of pages	10
Journal	Computer Aided Geometric Design
Volume	52-53
DOIs	https://doi.org/10.1016/j.cagd.2017.02.010
State	Published - Mar 1 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.

Keywords

Advection
Flow visualization
Seed curve
Stream surface

ASJC Scopus subject areas

Modeling and Simulation
Automotive Engineering
Aerospace Engineering
Computer Graphics and Computer-Aided Design

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10.1016/j.cagd.2017.02.010

Cite this

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title = "Towards optimal advection using stretch-maximizing stream surfaces",

abstract = "We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretch-maximizing manner, i.e., curves that infinitesimally expand most progressively. We show that such a curve is generically unique at every point in an incompressible flow and offers a very good initial guess for a stretch-maximizing stream surface. With the application of efficient fluid advection–diffusion in mind, we optimize fluid injection towards optimal advection and show several examples on benchmark datasets.",

keywords = "Advection, Flow visualization, Seed curve, Stream surface",

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year = "2017",

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doi = "10.1016/j.cagd.2017.02.010",

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T1 - Towards optimal advection using stretch-maximizing stream surfaces

AU - Bartoň, Michael

AU - Kosinka, Jiří

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretch-maximizing manner, i.e., curves that infinitesimally expand most progressively. We show that such a curve is generically unique at every point in an incompressible flow and offers a very good initial guess for a stretch-maximizing stream surface. With the application of efficient fluid advection–diffusion in mind, we optimize fluid injection towards optimal advection and show several examples on benchmark datasets.

AB - We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretch-maximizing manner, i.e., curves that infinitesimally expand most progressively. We show that such a curve is generically unique at every point in an incompressible flow and offers a very good initial guess for a stretch-maximizing stream surface. With the application of efficient fluid advection–diffusion in mind, we optimize fluid injection towards optimal advection and show several examples on benchmark datasets.

KW - Advection

KW - Flow visualization

KW - Seed curve

KW - Stream surface

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U2 - 10.1016/j.cagd.2017.02.010

DO - 10.1016/j.cagd.2017.02.010

M3 - Article

AN - SCOPUS:85015324267

SN - 0167-8396

VL - 52-53

SP - 3

EP - 12

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

ER -

Towards optimal advection using stretch-maximizing stream surfaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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