Hessian-based Lagrangian closure theory for passive scalar turbulence

Taketo Ariki, Kyo Yoshida

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Self-consistent closure theory for passive scalar turbulence has been developed on the basis of the Hessian of the scalar field. As a primitive indicator of spatial structure of the scalar, we employ the Hessian into the core of the theory to properly characterize the time scale intrinsic to the scalar field itself. The resultant closure model is now endowed with several realistic features, i.e., the scale locality of the interscale interaction, the detailed conservation, and the memory-fading effect. Applying the current theory to the inertial-convective range eventually leads to self-consistent derivation of the Obukhov-Corrsin spectrum with its universal constant consistent with numerical and experimental data.

Original languageEnglish
Article number104603
JournalPhysical Review Fluids
Issue number10
Publication statusPublished - 2021 Oct
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Modelling and Simulation
  • Fluid Flow and Transfer Processes


Dive into the research topics of 'Hessian-based Lagrangian closure theory for passive scalar turbulence'. Together they form a unique fingerprint.

Cite this