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Development of Practical Algebraic Stress Model

Research Project

Project/Area Number 03650136
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionTohoku University

Principal Investigator

IKOHAGI Toshiaki  Tohoku University Institute of Fluid Science, Associate Professor, 流体化学研究所, 助教授 (90091652)

Co-Investigator(Kenkyū-buntansha) DAIGUJI Hisaaki  Tohoku University Faculty of Engineering, Professor, 工学部, 教授 (70005239)
Project Period (FY) 1991 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1992: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1991: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsTurbulence Model / Incompressible Flow / Algebraic Stress Model / Reynolds Stress / History Effect / Anisotropic Turbulence / Implicit SMAC Scheme / Curvilinear Coordinate / 数値流体力学 / 一様乱流 / 自由乱流
Research Abstract

The purpose of this study is to newly develop an algebraic stress model (ASM) and to establish the efficient numerical scheme for solving the fundamental equations of incompressible flow in curvilinear coordinate, in order to perform the numerical analysis of turbulent flow of engineering interest in high Reynolds number using the practical timeaveraged turbulence model.
First, to overcome the defect of ASM used previously, the algebraic representation for the Reynolds stress was derived to express the anisotropy mainly appeared in turbulent shear flow, the isotropization and the decaying process in free turbulent flow, so that the new ASM has been proposed. In this derivation, the algebraic procedure of the transport term was followed based on the transport equation for the Reynolds stress. As a result, it becomes clear that the term including the history effect on the Reynolds stress plays an important role. In the present model, therefore, such a defect of the previous model that the … More non-physical solution giving the instantaneous isotropization for the anisotropic turbulence without shear is inevitably resulted in, has been dissolved by taking account of the history term. Next, to clarify the validity of the present model, the verification was made using the reliable data-base for the homogeneous anisotropic turbulence obtained by the direct numerical simulation. It is indicated that the time evolution of the Reynolds stress can be predicted well, especially the Reynolds shear stress which has not yet been predicted even qualitatively by the previous model can be reproduced very well by the present model. The useful knowledge related to the history effect was obtained and a guide to computation of complex turbulent flow field was able to be provided.
On the other hand, the implicit SMAC scheme using the curvilinear coordinate grid, which has been developed by the present researchers, was extended to apply to unsteady 3-D flow. Performing the large-scale numerical simulation beyond a million grid points, the structure of unsteady flow through 3-D backward-facing step duct was clarified. And the present scheme is verified to be compatible and efficient one as a computational code for the turbulent flow analysis. Less

Report

(3 results)
  • 1992 Annual Research Report   Final Research Report Summary
  • 1991 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] IKOHAGI,T.: "Finite-Difference Schemes for Steady Incompressible Navier-Stokes Equations in General Cuvvilinear Coordinate" Computers & Fluids. 19. 479-488 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] IKOHAGI,T.: "On Algebraic eXpression for Reynolds Stresses" ASME, Book No G00605,‘Advances of Numerical Simulation of Turbulent Flow'. FED-117. 11-15 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] IKOHAGI,T.: "Application of an Implicit Time-Marching Scheme to a 3-D Incompressible Flow Problem in Curvilinear Coordinate Stystems" Computers & Fluids. 21. 163-175 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Shin,B.R: "A Finite-Difference Scheme for the 2-D Incompressible Turbulent Flows Using Curvilinear Coordinates" JSME International Journal.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Shin,B.R: "An Unsteady Implicit SMAC Scheme for the 2-D Incompressible Navier-Stokes Equations" JSME International Journal.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Shin,B.R: "An Implicit Finite-Difference Scheme for Solving the Unsteady 3-d Incompressible Navier-Stokes Equations" Computational Fluid Dynamics '92(Elsevier). 1. 457-464 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Ikohagi,T and Shin,B.R.: "Finite-Difference Schemes for Steady Incompressible Navier-Stokes Equations in General Curvilinear Coordinate" Computers & Fluids. 19. 479-488 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Ikohagi,T. and Daiguji,H.: "On Algebraic Expression for Reynolds Stresses" ASME Book. No.G00605 FED-117. 11-15 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Ikohagi,T., Shin,B.R. and Daiguji,H.: "Application of an Implicit Time-Marching Scheme to a 3-D Incompressible Flow Problem in Curvilinear Coordinate Systems" Computers & Fluids. 21. 163-175 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Shin,B.R., Ikohagi,T. and Daiguji,H.: "A Finite-Difference Scheme for the 2-D Incompressible Turbulent Flows Using Curvilinear Coordinates" JSME International Journal.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Shin,B.R., Ikohagi,T. and Daiguji,H.: "An Unsteady Implicit SMAC Scheme for the 2-D Incompressible Navier-Stokes Equations" JSME International Journal.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Shin,B.R., Ikohagi,T. and Daiguji,H.: "An Implicit Finite-Difference Scheme for Solving the Unsteady 3-D Incompressible Navier-Stokes Equations" Computational Fluid Dynamics' 92 Elsevierl. 457-464 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Ikohagi,T: "Application of an Implicit Time-Marching Scheme to a 3-D Incompressible Flow Problem in Curvilinear coordinate Systems" Computers & Fluids. 21. 163-175 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Shin,B.R.: "An Implicit Finite-Difference Scheme for Soluing The Unsteady 3-D Incompressible Navier-Stokes Equations" Computational Fluid Dynamics '92(Elsevier). 1. 457-464 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Ikohagi,T: "FiniteーDiffernce Schemes for Steady Incompressible Navier Stokes Equations in General Curviliner Coordinates" Computers & Fluids. 19. 479-488 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Ikohagi,T: "On Algebraic Expression for the Reynolds Strsses" ASME,Book No.G00605,'Advances in Numerical Simulation of Turbulent Flow'. FED.ー117. 11-15 (1991)

    • Related Report
      1991 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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