Reynolds stress modelling of rectangular open-channel flow

Hyeongsik Kang, Sung Uk Choi

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

A Reynolds stress model for the numerical simulation of uniform 3D turbulent open-channel flows is described. The finite volume method is used for the numerical solution of the flow equations and transport equations of the Reynolds stress components. The overall solution strategy is the SIMPLER agorithm, and the power-law scheme is used to discretize the convection and diffusion terms in the governing equations. The developed model is applied to a flow at a Reynolds number of 77000 in a rectangular channel with a width to depth ratio of 2. The simulated mean flow and turbulence structures are compared with measured and computed data from the literature. The computed flow vectors in the plane normal to the streamwise direction show a small vortex, called inner secondary currents, located at the juncture of the sidewall and the free surface as well as the free surface and bottom vortices. This small vortex causes a significant increase in the wall shear stress in the vicinity of the free surface. A budget analysis of the streamwise vorticity is carried out. It is found that both production terms by anisotropy of Reynolds normal stress and by Reynolds shear stress contribute to the generation of secondary currents.

Original languageEnglish
Pages (from-to)1319-1334
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Volume51
Issue number11
DOIs
Publication statusPublished - 2006 Aug 20

Fingerprint

Open Channel Flow
Open channel flow
Reynolds Stress
Vortex flow
Free Surface
Vortex
Shear stress
Modeling
Finite volume method
Turbulent Channel Flow
Vorticity
Wall Shear Stress
Reynolds number
Anisotropy
Turbulence
Term
Finite Volume Method
Shear Stress
Transport Equation
Convection

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

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Reynolds stress modelling of rectangular open-channel flow. / Kang, Hyeongsik; Choi, Sung Uk.

In: International Journal for Numerical Methods in Fluids, Vol. 51, No. 11, 20.08.2006, p. 1319-1334.

Research output: Contribution to journalArticle

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AB - A Reynolds stress model for the numerical simulation of uniform 3D turbulent open-channel flows is described. The finite volume method is used for the numerical solution of the flow equations and transport equations of the Reynolds stress components. The overall solution strategy is the SIMPLER agorithm, and the power-law scheme is used to discretize the convection and diffusion terms in the governing equations. The developed model is applied to a flow at a Reynolds number of 77000 in a rectangular channel with a width to depth ratio of 2. The simulated mean flow and turbulence structures are compared with measured and computed data from the literature. The computed flow vectors in the plane normal to the streamwise direction show a small vortex, called inner secondary currents, located at the juncture of the sidewall and the free surface as well as the free surface and bottom vortices. This small vortex causes a significant increase in the wall shear stress in the vicinity of the free surface. A budget analysis of the streamwise vorticity is carried out. It is found that both production terms by anisotropy of Reynolds normal stress and by Reynolds shear stress contribute to the generation of secondary currents.

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