This Article 
 Bibliographic References 
 Add to: 
Extracting 3D Vortices in Turbulent Fluid Flow
February 1998 (vol. 20 no. 2)
pp. 193-199

Abstract—This paper presents a computational framework to extract salient patterns, called vortex structures, from 3D turbulent fluid flows. These structures can be characterized as regions of dominating rotational motion in the velocity fields and intensity concentrations in the corresponding vorticity fields. A pointwise linear representation is employed to approximate the kinematics of the flow field, and the fluid motion is classified according to motion analysis or topological patterns. The regions of vortex structures are identified as those dominated by rotational motion or those of focus-type singularity. The 2D vortices, as a special case of 3D vortices, are detected by searching for regions of vorticity concentrations.

[1] M. Kass and A. Witkin, "Analyzing Oriented Patterns," CVGIP, vol. 37, pp. 362-385, 1987.
[2] A.R. Rao, "Computing Oriented Texture Fields," CVGIP: Graphical Models and Image Processing, vol. 53, no. 2, pp. 157-184, 1991.
[3] A. Waxman and K. Wohn, "Contour Evolution, Neighborhood Deformation, and Global Image Flow: Planar Surfaces in Motion," Int'l J. Robotics Res., vol. 4, no. 3, pp. 95-108, Fall 1985.
[4] M. Farge, "Wavelet Transforms and Their Applications to Turbulence," Ann. Rev. Fluid Mech., vol. 24, pp. 395-457, 1993.
[5] P. Moin, "Probing Turbulence via Large Eddy Simulation," AIAA, paper 84-0174.
[6] R. Adrian, "Particle Imaging Techniques for Experimental Fluid Mechanics," Ann. Rev. Fluid Mech., vol. 23, pp. 261-304, 1991.
[7] H.-G. Maas, "Determination of Turbulent Flow With Digital Multimedia Photogrammetry," Optical 3-D Measurement Techniques.Karlsruche, Germany: Wichmann Verlag, 1989.
[8] C. Shu and R. Jain, "Vector Field Analysis for Oriented Patterns," IEEE Proc. Conf. Computer Vision and Pattern Recognition, pp. 673-676,Champaign, Ill., June15-18 1992.
[9] C.-F. Shu and R.C. Jain, "Vector Field Analysis for Oriented Patterns," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 16, no. 9, pp. 946-950, Sept. 1994.
[10] R. Ford and R. Strickland, "Nonlinear Models for Representation, Compression and Visualization of Fluid Flow Images and Velocimetry Data," IEEE Workshop on Visualization and Machine Vision,Seattle, Wash., 1994.
[11] R. Samtaney et al., “Visualizing Features and Tracking Their Evolution,” Computer, Vol. 27, No. 7, July 1994, pp. 20-27.
[12] G. Batchelor, The Theory of Homogeneous Turbulence.Cambridge, England: Cambridge Univ. Press, 1960.
[13] A.K.M.F. Hussain, "Coherent Structures and Turbulence," J. Fluid Mech., vol. 173, pp. 303-356, 1987.
[14] J. Mumford, "The Structure of the Large Eddies in Fully Developed Turbulent Shear Flows. Part 1. The Plane Jet," J. Fluid Mech., vol. 118, pp. 241-268, 1982.
[15] S. Robinson, "The Kinematics of Turbulent Boundary Layer Structure," NASA Technical Memorandum 103859, Apr. 1991.
[16] A. Perry and M. Chong, "A Description of Eddying Motions and Flow Patterns Using Critical-Point Concepts," Ann. Rev. Fluid Mech., vol. 19, pp. 125-155, 1987.
[17] P. Simard and G. Mailloux, "A Projection Operator for the Restoration of Divergence-Free Vector Fields," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 10, no. 2, pp. 248-256, Mar. 1988.
[18] R. Duda and P. Hart, Pattern Classification and Scene Analysis.New York: John Wiley and Sons, 1973.
[19] M. Chong, A. Perry, and B. Cantwell, "A General Classification of Three-Dimensional Flow Fields," Phys. Fluids A, vol. 2, no. 5, pp. 765-777, May 1990.
[20] J. Zhong, T. Huang, and R. Adrian, "Intensity Extremum Detection Based on Scale Space Analysis," Multidimensional Signal Processing Workshop,Cannes, France, Sept. 1993.
[21] G. Batchelor, Introduction to Fluid Dynamics.Cambridge, England: Cambridge Univ. Press, 1967.

Index Terms:
Vector field segmentation, vortex structure analysis and extraction, critical points, pattern recognition.
Jialin Zhong, Thomas S. Huang, Ronald J. Adrian, "Extracting 3D Vortices in Turbulent Fluid Flow," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 20, no. 2, pp. 193-199, Feb. 1998, doi:10.1109/34.659938
Usage of this product signifies your acceptance of the Terms of Use.