An analytical turbulence modeling based on the double-lagrangian formalism

Taketo Ariki

Research output: Contribution to journalArticlepeer-review


An analytical approach to turbulence modeling based on the double-Lagrangian formalism is applied to turbulence modeling. Extending a selfconsistent closure theory of homogeneous turbulence, current approach allows us to derive a quadratic nonlinear viscosity form of the Reynolds stress without relying on empirical parameters. To examine the future possibility of the present methodology as practical modeling approach, a simple non-linear K-e model is constructed, which is then applied to turbulent channel flow at a medium Reynolds number (Re = 590). With the help of conventional modeled equations for K and e, the channel turbulence is stably calculated yielding reasonable agreements with a DNS.

Original languageEnglish
JournalJournal of Fluid Science and Technology
Issue number3
Publication statusPublished - 2019


  • Homogeneous turbulence
  • Lagrangian formalism
  • Renormalization
  • Turbulence modeling
  • Turbulence shear flow

ASJC Scopus subject areas

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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