Surface representations of two- and three-dimensional fluid flow topology

Authors:
J. L. Helman;Lambertus Hesselink
Affiliations:
Stanford University, Stanford, CA;Stanford University, Stanford, CA
Venue:
VIS '90 Proceedings of the 1st conference on Visualization '90
Year:
1990

Citing 2
Cited 20

Representation and Display of Vector Field Topology in Fluid Flow Data Sets

Computer
Optimal surface reconstruction from planar contours

Communications of the ACM

Interactive visualization of flow fields

VVS '92 Proceedings of the 1992 workshop on Volume visualization
Automatic detection of open and closed separation and attachment lines

Proceedings of the conference on Visualization '98
Multi-resolution visualization techniques for nested weather models

Proceedings of the conference on Visualization '00
A flow-guided streamline seeding strategy

Proceedings of the conference on Visualization '00
Case study: visualization and analysis of high Rayleigh number --- 3D convection in the Earth's mantle

Proceedings of the conference on Visualization '02
Using Line Integral Convolution for Flow Visualization: Curvilinear Grids, Variable-Speed Animation, and Unsteady Flows

IEEE Transactions on Visualization and Computer Graphics
Visualizing Nonlinear Vector Field Topology

IEEE Transactions on Visualization and Computer Graphics
Feature Extraction of Separation and Attachment Lines *

IEEE Transactions on Visualization and Computer Graphics
Scientific Visualization - Methods and Applications

Informatics - 10 Years Back. 10 Years Ahead.
A tool for visualizing the topology of three-dimensional vector fields

VIS '91 Proceedings of the 2nd conference on Visualization '91
Rendering surface-particles

VIS '92 Proceedings of the 3rd conference on Visualization '92
Constructing stream surfaces in steady 3D vector fields

VIS '92 Proceedings of the 3rd conference on Visualization '92
Visualization of second order tensor fields and matrix data

VIS '92 Proceedings of the 3rd conference on Visualization '92
Implicit stream surfaces

VIS '93 Proceedings of the 4th conference on Visualization '93
Visualizing flow over curvilinear grid surfaces using line integral convolution

VIS '94 Proceedings of the conference on Visualization '94
Scientific Visualization: methods and applications

SCCG '03 Proceedings of the 19th spring conference on Computer graphics
Generalized Streak Lines: Analysis and Visualization of Boundary Induced Vortices

IEEE Transactions on Visualization and Computer Graphics
Measuring the Similarity of Vector Fields Using Global Distributions

SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
Topology-based visualization of time-dependent 2D vector fields

EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Complete tensor field topology on 2D triangulated manifolds embedded in 3D

EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization

Quantified Score

Hi-index	0.00

Visualization

Abstract

We discuss our work using critical point analysis to generate representations of the vector field topology of numerical flow data sets. Critical points are located and characterized in a two-dimensional domain, which may be either a two-dimensional flow field or the tangential velocity field near a three-dimensional body. Tangent curves are then integrated out along the principal directions of certain classes of critical points. The points and curves are linked to form a skeleton representing the two-dimensional vector field topology.When generated from the tangential velocity field near a body in a three-dimensional flow, the skeleton includes the critical points and curves which provide a basis for analyzing the three-dimensional structure of the flow separation. The points along the separation curves in the skeleton are used to start tangent curve integrations to generate surfaces representing the topology of the associated flow separations.