A new methodology for Reynolds-averaged modeling based on the amalgamation of heuristic-modeling and turbulence-theory methods

Akira Yoshizawa, Shoiti Nisizima, Yutaka Shimomura, Hiromichi Kobayashi, Yuichi Matsuo, Hiroyuki Abe, Hitoshi Fujiwara

研究成果: Article

15 引用 (Scopus)

抄録

A new methodology for the Reynolds-averaged Navier-Stokes modeling is presented on the basis of the amalgamation of heuristic-modeling and turbulence-theory methods. A characteristic turbulence time scale is synthesized in a heuristic manner through the combination of several characteristic time scales. An algebraic model of turbulent-viscosity type for the Reynolds stress is derived from the Reynolds-stress transport equation with the time scale embedded. It is applied to the state of weak spatial and temporal nonequilibrium, and is compared with its theoretical counterpart derived by the two-scale direct-interaction approximation. The synthesized time scale is justified through the agreement of the two expressions derived by these entirely different methods. The derived model is tested in rotating isotropic, channel, and homogeneous-shear flows. It is extended to a nonlinear algebraic model and a supersonic model. The latter is shown to succeed in reproducing the reduction in the growth rate of a free-shear layer flow, without causing wrong effects on wall-bounded flows such as channel and boundary-layer flows.

元の言語English
記事番号035109
ジャーナルPhysics of Fluids
18
発行部数3
DOI
出版物ステータスPublished - 2006 3

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Turbulence
turbulence
methodology
Reynolds stress
Wall flow
Boundary layer flow
wall flow
Shear flow
boundary layer flow
shear layers
shear flow
Viscosity
viscosity
approximation
interactions

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

これを引用

A new methodology for Reynolds-averaged modeling based on the amalgamation of heuristic-modeling and turbulence-theory methods. / Yoshizawa, Akira; Nisizima, Shoiti; Shimomura, Yutaka; Kobayashi, Hiromichi; Matsuo, Yuichi; Abe, Hiroyuki; Fujiwara, Hitoshi.

:: Physics of Fluids, 巻 18, 番号 3, 035109, 03.2006.

研究成果: Article

Yoshizawa, Akira ; Nisizima, Shoiti ; Shimomura, Yutaka ; Kobayashi, Hiromichi ; Matsuo, Yuichi ; Abe, Hiroyuki ; Fujiwara, Hitoshi. / A new methodology for Reynolds-averaged modeling based on the amalgamation of heuristic-modeling and turbulence-theory methods. :: Physics of Fluids. 2006 ; 巻 18, 番号 3.
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AU - Kobayashi, Hiromichi

AU - Matsuo, Yuichi

AU - Abe, Hiroyuki

AU - Fujiwara, Hitoshi

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N2 - A new methodology for the Reynolds-averaged Navier-Stokes modeling is presented on the basis of the amalgamation of heuristic-modeling and turbulence-theory methods. A characteristic turbulence time scale is synthesized in a heuristic manner through the combination of several characteristic time scales. An algebraic model of turbulent-viscosity type for the Reynolds stress is derived from the Reynolds-stress transport equation with the time scale embedded. It is applied to the state of weak spatial and temporal nonequilibrium, and is compared with its theoretical counterpart derived by the two-scale direct-interaction approximation. The synthesized time scale is justified through the agreement of the two expressions derived by these entirely different methods. The derived model is tested in rotating isotropic, channel, and homogeneous-shear flows. It is extended to a nonlinear algebraic model and a supersonic model. The latter is shown to succeed in reproducing the reduction in the growth rate of a free-shear layer flow, without causing wrong effects on wall-bounded flows such as channel and boundary-layer flows.

AB - A new methodology for the Reynolds-averaged Navier-Stokes modeling is presented on the basis of the amalgamation of heuristic-modeling and turbulence-theory methods. A characteristic turbulence time scale is synthesized in a heuristic manner through the combination of several characteristic time scales. An algebraic model of turbulent-viscosity type for the Reynolds stress is derived from the Reynolds-stress transport equation with the time scale embedded. It is applied to the state of weak spatial and temporal nonequilibrium, and is compared with its theoretical counterpart derived by the two-scale direct-interaction approximation. The synthesized time scale is justified through the agreement of the two expressions derived by these entirely different methods. The derived model is tested in rotating isotropic, channel, and homogeneous-shear flows. It is extended to a nonlinear algebraic model and a supersonic model. The latter is shown to succeed in reproducing the reduction in the growth rate of a free-shear layer flow, without causing wrong effects on wall-bounded flows such as channel and boundary-layer flows.

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KW - Channel flow

KW - Navier-Stokes equations

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KW - Shear turbulence

KW - Supersonic flow

KW - Viscosity

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