Visualization of Coherent Structures in Transient 2D Flows

The depiction of a time-dependent flow in a way that effectively sup ports the structural analysis of its salient patterns is still a challenging problem for flow visualization research. While a variety of powerful approaches have been investigated for over a decade now, none of them so far has been able to yield repre sentations that effectively combine good visual quality and a physical interpretation that is both intuitive and reliable. Yet, with the huge amount of flow data generated by numerical computations of growing size and complexity, scientists and engineers are faced with a daunting analysis task in which the ability to identify, extract, and display the most meaningful information contained in the data is becoming absolutely indispensable.

[1]  Robert S. Laramee,et al.  ISA and IBFVS: image space-based visualization of flow on surfaces , 2004, IEEE Transactions on Visualization and Computer Graphics.

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

[3]  J. Marsden,et al.  Lagrangian analysis of fluid transport in empirical vortex ring flows , 2006 .

[4]  David L. Kao,et al.  A New Line Integral Convolution Algorithm for Visualizing Time-Varying Flow Fields , 1998, IEEE Trans. Vis. Comput. Graph..

[5]  Hans-Peter Seidel,et al.  Feature Flow Fields , 2003, VisSym.

[6]  George Haller,et al.  Uncovering the Lagrangian skeleton of turbulence. , 2007, Physical review letters.

[7]  George Haller,et al.  Detection of Lagrangian Coherent Structures in 3D Turbulence , 2006 .

[8]  George Haller,et al.  Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence , 2001 .

[9]  Hans Hagen,et al.  Topology tracking for the visualization of time-dependent two-dimensional flows , 2002, Comput. Graph..

[10]  Charles D. Hansen,et al.  GPUFLIC: Interactive and Accurate Dense Visualization of Unsteady Flows , 2006, EuroVis.

[11]  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.

[12]  David H. Eberly,et al.  Ridges for image analysis , 1994, Journal of Mathematical Imaging and Vision.

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

[14]  G. Haller,et al.  Lagrangian coherent structures and mixing in two-dimensional turbulence , 2000 .

[15]  S.C. Shadden,et al.  Optimal trajectory generation in ocean flows , 2005, Proceedings of the 2005, American Control Conference, 2005..

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

[17]  Jerrold E. Marsden,et al.  Lagrangian coherent structures in n-dimensional systems , 2007 .

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

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

[20]  Mark Segal,et al.  Fast shadows and lighting effects using texture mapping , 1992, SIGGRAPH.

[21]  Melissa A. Green,et al.  Detection of Lagrangian coherent structures in three-dimensional turbulence , 2007, Journal of Fluid Mechanics.