3D Loop Detection and Visualization in Vector Fields

Thomas Wischgoll; Gerik Scheuermann

doi:10.1007/978-3-662-05105-4_8

3D Loop Detection and Visualization in Vector Fields

Thomas Wischgoll, Gerik Scheuermann

Wright State University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Visualization has developed a tendency to use mathematical analysis to obtain and present important data properties. In three-dimensional fluid flows, engineers are interested in several important features. One type are recirculation zones where the fluid stays for a long time. This plays a key role in combustion problems since recirculation allows a completion of chemical reactions which usually have a smaller time scale than fluid dynamics. Strong indicators for such recirculation zones are looping streamlines in a steady vector field or in the time steps of unsteady data. The article presents a method for the detection of such loops by analyzing streamlines approaching them.

Original language	American English
Title of host publication	Visualization and Mathematics III
DOIs	https://doi.org/10.1007/978-3-662-05105-4_8
State	Published - Jan 1 2003

Keywords

Differential Geometry
Numerical Analysis
Programming Techniques
Topology
Visualization

Disciplines

Computer Sciences
Engineering

Access to Document

10.1007/978-3-662-05105-4_8License: Unspecified

Cite this

@inbook{92c8bd8f0b8148cea135629216f54ff4,

title = "3D Loop Detection and Visualization in Vector Fields",

abstract = " Visualization has developed a tendency to use mathematical analysis to obtain and present important data properties. In three-dimensional fluid flows, engineers are interested in several important features. One type are recirculation zones where the fluid stays for a long time. This plays a key role in combustion problems since recirculation allows a completion of chemical reactions which usually have a smaller time scale than fluid dynamics. Strong indicators for such recirculation zones are looping streamlines in a steady vector field or in the time steps of unsteady data. The article presents a method for the detection of such loops by analyzing streamlines approaching them.",

keywords = "Differential Geometry, Numerical Analysis, Programming Techniques, Topology, Visualization",

author = "Thomas Wischgoll and Gerik Scheuermann",

year = "2003",

month = jan,

day = "1",

doi = "10.1007/978-3-662-05105-4_8",

language = "American English",

booktitle = "Visualization and Mathematics III",

}

TY - CHAP

T1 - 3D Loop Detection and Visualization in Vector Fields

AU - Wischgoll, Thomas

AU - Scheuermann, Gerik

PY - 2003/1/1

Y1 - 2003/1/1

N2 - Visualization has developed a tendency to use mathematical analysis to obtain and present important data properties. In three-dimensional fluid flows, engineers are interested in several important features. One type are recirculation zones where the fluid stays for a long time. This plays a key role in combustion problems since recirculation allows a completion of chemical reactions which usually have a smaller time scale than fluid dynamics. Strong indicators for such recirculation zones are looping streamlines in a steady vector field or in the time steps of unsteady data. The article presents a method for the detection of such loops by analyzing streamlines approaching them.

AB - Visualization has developed a tendency to use mathematical analysis to obtain and present important data properties. In three-dimensional fluid flows, engineers are interested in several important features. One type are recirculation zones where the fluid stays for a long time. This plays a key role in combustion problems since recirculation allows a completion of chemical reactions which usually have a smaller time scale than fluid dynamics. Strong indicators for such recirculation zones are looping streamlines in a steady vector field or in the time steps of unsteady data. The article presents a method for the detection of such loops by analyzing streamlines approaching them.

KW - Differential Geometry

KW - Numerical Analysis

KW - Programming Techniques

KW - Topology

KW - Visualization

UR - https://corescholar.libraries.wright.edu/cse/312

U2 - 10.1007/978-3-662-05105-4_8

DO - 10.1007/978-3-662-05105-4_8

M3 - Chapter

BT - Visualization and Mathematics III

ER -

3D Loop Detection and Visualization in Vector Fields

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this