Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism

Ariki, Taketo

doi:10.1063/1.5094590

Cited by 3 publications

(2 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, we do not cover all the formulation in details, but only show some of its core ideas. For details, the author refers the readers to a recent paper (Ariki, 2019).…”

Section: Tslra Formalismmentioning

confidence: 99%

“…Recently, to comply with this requirement, the author has developed the double-Lagrangian framework where two independent Lagrangian pictures are incorporated (Ariki, 2017). The double Lagrangian framework allows us to develop TSDIA to more physically-precise approach -TSLRA (named after TSDIA by A. Yoshizawa) -which is a new combination technique of the multiple-scale expansion and LRA theory (Ariki, 2019). In contrast to the previous TSDIA, TSLRA is endowed with two remarkable features; (i) consistency with the Kolmogorov's scaling in homogeneous-isotropic case (Kolmogorov, 1941) and (ii) covariance principle under general-coordinate transformations (Ariki, 2015), which have never been achieved simultaneously.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An analytical turbulence modeling based on the double-Lagrangian formalism

Ariki

2019

JFST

Self Cite

View full text Add to dashboard Cite

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 Kε 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 ε, the channel turbulence is stably calculated yielding reasonable agreements with a DNS.

show abstract

“…In this paper, we do not cover all the formulation in details, but only show some of its core ideas. For details, the author refers the readers to a recent paper (Ariki, 2019).…”

Section: Tslra Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An analytical turbulence modeling based on the double-Lagrangian formalism

Ariki

2019

JFST

Self Cite

View full text Add to dashboard Cite

show abstract

Reynolds-stress root modeling based on a statistical theory

Ariki

Ikeda

2023

Physics of Fluids

View full text Add to dashboard Cite

A new methodology of turbulence modeling is proposed by combining a statistical theory [T. Ariki, Phys. Fluids 31, 065104 (2019)] and the Reynolds-stress-root method [T. Ariki, Phys. Rev. E 92, 053010 (2015)], aiming at realizing practical turbulence model of wider applicability with the help of theoretical support. The resultant model integrates, at the same time, the following five features: coordinate covariance, realizability condition, near-wall behavior, history effect, and streamline curvature effect, which are all key ingredients to build up better turbulence model mimicking realistic behaviors. Numerical assessments of the model are conducted for homogeneous shear flow, channel flow, flow in a rotating pipe, and flow between concentric annuli, all of which show reasonable agreement with direct numerical simulations and experiments.

show abstract

Higher-order realizable algebraic Reynolds stress modeling based on the square root tensor

2019

Self Cite

View full text Add to dashboard Cite

In this study, realizable turbulence modeling based on the square root tensor of the Reynolds stress [Phys. Rev. E 92, 053010 (2015)] is further developed for extending its applicability to more complex flows. In conventional methods, it was difficult to construct a turbulence model satisfying the realizability conditions when the model involves higher-order nonlinear terms on the mean velocity gradient. Such higher-order nonlinear terms are required to predict turbulent flows with three-dimensional mean velocity. The present modeling based on the square root tensor enables us to make the model always satisfy the realizability conditions, even when it involves higher-order nonlinearity. To construct a realizable model applicable to turbulent flows with three-dimensional mean velocity, a quartic-nonlinear eddy-viscosity model is proposed. The performance of the model is numerically verified in a turbulent channel flow, a homogeneous turbulent shear flow, and an axially rotating turbulent pipe flow. The present model gives a good result in each turbulent flow.Note that the mean swirl flow in an axially rotating turbulent pipe flow is reproduced because the present model involves cubic nonlinearity. Such a higher-order realizable turbulence model, involving quartic nonlinearity on the mean velocity, is expected to be useful in numerically stable predictions of turbulent flows with three-dimensional mean velocity.

show abstract

Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism

Cited by 3 publications

References 42 publications

An analytical turbulence modeling based on the double-Lagrangian formalism

An analytical turbulence modeling based on the double-Lagrangian formalism

Reynolds-stress root modeling based on a statistical theory

Higher-order realizable algebraic Reynolds stress modeling based on the square root tensor

Contact Info

Product

Resources

About