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MATH 655

Statistical Theories of Turbulence

Historical course

Fall 2015

Topics

  • Fluid symmetries and conservation laws
  • Navier–Stokes dynamics
  • Statistical equipartition
  • Kolmogorov cascades and intermittency
  • Closure models
  • Reduced turbulence descriptions
  • Pseudospectral simulation and large eddies
  • Vortex statistics
  • Passive scalar mixing

Readings

  • U. Frisch. Turbulence, The Legacy of A. N. Kolmogorov. Cambridge, 1995.
    unspecified
    ISBN 0-521-45713-0
  • William K. George. Lectures in Turbulence for the 21st Century, 2013.
    recommended
Sources