Mean-Lagrangian formalism and covariance of fluid turbulence.

@article{Ariki2017MeanLagrangianFA,
  title={Mean-Lagrangian formalism and covariance of fluid turbulence.},
  author={Taketo Ariki},
  journal={Physical review. E},
  year={2017},
  volume={95 5-1},
  pages={
          053102
        }
}
  • T. Ariki
  • Published 5 September 2016
  • Physics
  • Physical review. E
Mean-field-based Lagrangian framework is developed for the fluid turbulence theory, which enables physically objective discussions, especially, of the history effect. Mean flow serves as a purely geometrical object of Lie group theory, providing useful operations to measure the objective rate and history integration of the general tensor field. The proposed framework is applied, on the one hand, to one-point closure model, yielding an objective expression of the turbulence viscoelastic effect… 

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