• Corpus ID: 119260800

New equation for lagrangian incompressible fluid flows applied to turbulence

  title={New equation for lagrangian incompressible fluid flows applied to turbulence},
  author={O. Poujade},
  journal={arXiv: Fluid Dynamics},
  • O. Poujade
  • Published 31 October 2017
  • Mathematics
  • arXiv: Fluid Dynamics
Theoretical developments in the field of Lagrangian turbulence are made difficult by the fact that equations governing the evolution of lagrangian flows are implicit contrary to eulerian flows. In this article, an {\it exact} explicit equation for incompressible lagrangian fluid flows at high-Reynolds number is constructed. The method to arrive at the equation of motion and the proof that it describes the motion of an incompressible fluid are provided. A truncated version of this new equation… 

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