Visualizing Transport Structures of Time-Dependent Flow Fields

This article focuses on the transport characteristics of physical properties in fluids-in particular, visualizing the finite-time transport structure of property advection. Applied to a well-chosen set of property fields, the proposed approach yields structures giving insights into the underlying flow's dynamic processes.

[1]  Robert S. Laramee,et al.  The State of the Art in Flow Visualisation: Feature Extraction and Tracking , 2003, Comput. Graph. Forum.

[2]  G. Haller Distinguished material surfaces and coherent structures in three-dimensional fluid flows , 2001 .

[3]  Kwan-Liu Ma,et al.  Visualizing vector fields using line integral convolution and dye advection , 1996, Proceedings of 1996 Symposium on Volume Visualization.

[4]  Gordon Erlebacher,et al.  Particle and texture based spatiotemporal visualization of time-dependent vector fields , 2005, VIS 05. IEEE Visualization, 2005..

[5]  G. Haller Lagrangian coherent structures from approximate velocity data , 2002 .

[6]  Brian Cabral,et al.  Imaging vector fields using line integral convolution , 1993, SIGGRAPH.

[7]  Filip Sadlo,et al.  Efficient Visualization of Lagrangian Coherent Structures by Filtered AMR Ridge Extraction , 2007, IEEE Transactions on Visualization and Computer Graphics.

[8]  Hans Hagen,et al.  Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications , 2007, IEEE Transactions on Visualization and Computer Graphics.

[9]  Hans-Peter Seidel,et al.  Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields , 2009, Topology-Based Methods in Visualization II.

[10]  Filip Sadlo,et al.  Visualization Tools for Vorticity Transport Analysis in Incompressible Flow , 2006, IEEE Transactions on Visualization and Computer Graphics.

[11]  Peter Hastreiter,et al.  Interactive exploration of volume line integral convolution based on 3D-texture mapping , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

[12]  Hans-Peter Seidel,et al.  Eurographics/ Ieee-vgtc Symposium on Visualization (2006) Path Line Oriented Topology for Periodic 2d Time-dependent Vector Fields , 2022 .

[13]  Hans-Christian Hege,et al.  amira: A Highly Interactive System for Visual Data Analysis , 2005, The Visualization Handbook.

[14]  L. G. Leal,et al.  Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes , 2007 .

[15]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[16]  Hans-Christian Hege,et al.  Fast and resolution independent line integral convolution , 1995, SIGGRAPH.

[17]  David L. Kao,et al.  UFLIC: a line integral convolution algorithm for visualizing unsteady flows , 1997 .

[18]  Kwan-Liu Ma,et al.  Time-varying, multivariate volume data reduction , 2005, SAC '05.

[19]  Hans-Peter Seidel,et al.  Topological methods for 2D time-dependent vector fields based on stream lines and path lines , 2005, IEEE Transactions on Visualization and Computer Graphics.

[20]  Gerik Scheuermann,et al.  Eyelet particle tracing - steady visualization of unsteady flow , 2005 .

[21]  G. Haller Finding finite-time invariant manifolds in two-dimensional velocity fields. , 2000, Chaos.

[22]  J. Marsden,et al.  Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows , 2005 .

[23]  Kwan-Liu Ma,et al.  Visualizing time-varying volume data , 2003, Comput. Sci. Eng..