4 citations · 12 across the 5 of their papers we have counts for
6 papers
Hessian-based Lagrangian closure theory for passive scalar turbulence
Taketo Ariki, Kyo Yoshida
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 th…
Higher-order realizable algebraic Reynolds stress modeling based on the square root tensor
Kazuhiro Inagaki, Taketo Ariki, Fujihiro Hamba
In this study, realizable algebraic Reynolds stress modeling based on the square root tensor [Phys. Rev. E \textbf{92}, 053010 (2015)] is further developed for extending its applic…
Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism
Taketo Ariki
A closure theory is developed for inhomogeneous turbulent flow, which enables a systematic derivation of the turbulence constitutive relations without relying on any empirical para…
Self-consistent hyperfluid
Taketo Ariki
Hyperfluid model is reconstructed on the basis of its action free from any external constraints, regarding the hyperfluid as a self-consistent classical field. Intrinsic hypermomen…
Mean-Lagrangian formalism and covariance of fluid turbulence
Taketo Ariki
Mean-field-based Lagrangian framework is developed for the fluid turbulence theory. The space- time vector flow is naturally introduced from the mean velocity, which provides the L…
Field Theory of the Eulerian Perfect Fluid
Taketo Ariki, Pablo A. Morales
The Eulerian perfect-fluid theory is reformulated from its action principle in a pure field-theoretic manner. Conservation of the convective current is no longer imposed by Lin's c…