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Lagrangian Statistics in Intense Turbulence

Eberhard Bodenschatz
Max Planck Institute of Dynamics and Self-Organization, Cornell University, and University of Goettingen

In this talk I will summarize experiments on the Lagrangian properties of intense turbulence that have been conducted over the past 10 years and have been presented in the following manuscripts:

Particle Tracking Technology

  1. "A Silicon Strip Detector System for High Resolution Particle Tracking in Turbulence"
    G.A. Voth, A. LaPorta, A.M. Crawford, E. Bodenschatz, C. Ward, and J.P. Alexander, Rev. Sci. Inst. 72 (2001) 4348.
  2. "A quantitative study of three-dimensional Lagrangian particle tracking algorithms"
    N. T. Ouellette, H. Xu, E. Bodenschatz, Exp. Fluids 40 (2006) 301 - 313.

Single Particle Statistics: Velocity, Acceleration and Curvature

  1. "Lagrangian Acceleration Measurements at Large Reynolds Numbers"
    G. A. Voth, K. Satyanarayan, and E. Bodenschatz, Physics of Fluids 10 (1998) 2268
  2. "Fluid Particle Accelerations in Fully Developed Turbulence"
    A. La Porta, G.A. Voth, A.M. Crawford, J.P. Alexander, and E. Bodenschatz, Nature 409 (2001) 1017
  3. "Measurement of Particle Accelerations in Fully Developed Turbulence"
    A. La Porta, G.A. Voth, A.M. Crawford, J.P. Alexander, and E. Bodenschatz; J. Fluid Mech. 469 (2002) 121
  4. "Conditional and unconditional acceleration statistics in turbulence"
    B. L. Sawford, P. K. Yeung, M. S. Borgas, P. Vedula, A. La Porta, A. Crawford, E. Bodenschatz, Phys. Fluids 15 (2003) 3478
  5. "Experimental Lagrangian Acceleration Probability Density Function Measurement"
    N. Mordant, A.M. Crawford, and E. Bodenschatz, Physica D 193 (2004) 245 - 251
  6. "Three-Dimensional Structure of Lagrangian Acceleration in Turbulent Flows"
    N. Mordant, A. Crawford, and E. Bodenschatz, Phys. Rev. Lett. 93 (2004) 214501
  7. "Joint Statistics of the Lagrangian Acceleration and Velocity in Fully Developed Turbulence"
    A.M. Crawford, N. Mordant, and E. Bodenschatz, Phys. Rev. Lett. 94 (2005) 024501
  8. "High Order Lagrangian Velocity Statistics in Turbulence"
    H. Xu, M. Bourgoin, N.T. Ouellette, and E.Bodenschatz, Phys. Rev. Lett. 96 (2006) 024503
  9. "Small-scale anisotropy in Lagrangian turbulence"
    N. Ouellette, H. Xu, M. Bourgoin and E. Bodenschatz, New Journal of Physics 8 (2006) 102
  10. "Multifractal Dimension of Lagrangian Turbulence"
    H. Xu, N. T. Ouellette, and E. Bodenschatz, Phys. Rev. Lett. 96 (2006) 114503
  11. "Universal Curvature Statistics for Lagrangian Trajectories"
    H. Xu, N.T. Ouellette, and E. Bodenschatz, submitted 2006

Multi Particle Statistics: Batchelor and Richardson Dispersion, and Tetread - Dynamics

  1. "The role of Pair Dispersion in Turbulent Flow"
    M. Bourgoin, N.T. Ouellette, H. Xu. J. Berg, E. Bodenschatz, Science 311 (2006) 835-838.
  2. "An Experimental Study of Turbulent Relative Dispersion Models"
    N.T. Ouellette, H. Xu, M. Bourgoin, and E. Bodenschatz, New Journal of Physics 8 (2006) 109.
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