• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Numerical Analysis of Compressible and Incompressible Turbulence Using High Order Finite Difference Method

Research Project

Project/Area Number 07650204
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionKyoto Institute of Technology

Principal Investigator

NISHIDA Hidetoshi  Kyoto Institute of Technology, Faculty of Engineering and Design, Associate Professor, 工芸学部, 助教授 (40164561)

Project Period (FY) 1995 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1997: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1996: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1995: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsComputational fluid dynamics / High order finite difference / Compressible turbulence / Incompressible Turbulence / Direct numerical simulation / Non-staggered finite difference
Research Abstract

In this project, the direct numerical simulation codes based on the higher order method of lines are developed and the validations are carried out, in order to analyze the compressible and incompressible turbulences. To analyze the incompressible turbulence, the Navier-Stokes equations expressed by the primitive variables are solved by the variable order MAC method. The energy conservation is safisfied more exactly by using the interpolation method in the convective terms. Next, the new non-staggered finite difference method which satisfies the continuity equation at each time step and obtains the smooth pressure field, is proposed for solving the incompressible Navier-Stokes equations. This non-staggered finite difference method is extended to the body fitted coordinate system. Finaly, the 2-D homogeneous isotropic compressible turbulences are simulated by the higher order method of lines. In the weak shock turbulence, the compressible kinetic energy supplied by the internal energy is dominant and the shock waves are generated. On the other hand, the fluid is accelerated by the vortex motion and the shock waves are generated in the strong shock turbulence.

Report

(4 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • 1995 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] H.Nishida: "Direct Numerical Simulations of Compressible Turbulence Llsing Higher Order Method of Lines" Computational Mechanics‘95. vol.1. 941-946 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Nishida: "Higher Order Solutions of Compressible Homogeneous Turbulence in the Transonic Mach Number Regime" Proc.of International Symposium on Mathematical Modelling of Turbulent Flows. 268-273 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Nishida: "非スタガード差分法による非圧縮性ナビェ・ストークス方程式の数値解" 日本機械学会論文集(B編). 62・599. 2646-2651 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Nishida: "High Resolution Properties of the CIP Scheme" Memoirs of the Faculty of Engineering & Design.KIT. 45. 23-32 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Nishida: "A New Non-staggered Finite Difference Method for Solving the Incompressible Navier-Stokes Equations" Proc.of the 7th International Symposium on Computational Fluid Dynamics. 280-285 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.NISHIDA: "Direct Numerical Simulations of Compressible Turbulence Using Higher Order Method of Lines" Computational Mechanics'95. Vol.1. 941-946 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.NISHIDA: "Higher Order solutions of Compressible Homogeneous Turbulence in the Transonic Mach Number Regime" Proc.of International Symposium on Mathematical Modelling of Turbulent Flows. 268-273 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.NISHIDA: "Numerical Solutions of Incompressible Navier-Stokes Equations Using Non-staggered Finite Difference Method (In Japanese)" Transaction of JSME,62-599B. 2646-2651 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.NISHIDA: "High Resolution Properties of the CIP Scheme" Memoirs of the Faculty of Engineering and Design, Kyoto Institute of Technology. 45. 23-32 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.NISHIDA: "A New Non-staggered Finite Difference Method for Solving the Incompressible Navier-Stokes Equations" Proc.of the 7th International Symposium on Computational Fluid Dynamics. 280-285 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] H.Nishida: "A New Non-staggered Finite Difference Methd for Solving the Incompressible Navier-Stokes Equations" Proc.of the 7th International Symposium on Computational Fluid Dynamics. 280-285 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Nishida: "非スタガード差分法による非圧縮性ナビェ・ストークス方程式の数値解" 日本機械学会論文集(B編). 62・599. 2646-2651 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H.Nishida et al.: "High Resolution Properties of the CIP Scheme" Memoirs of the Faculty of Engineering & Design,KIT. 45. (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] H.Nishida: "Dierct Numerical Simulations of Compressible Turbulence Lising Higher Order Methcd of Lines" Computational Mechanics ' 95. Vol. 1. 941-946 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H.Nishida: "Higher Order Solutions of Compressible Homogeneous Turbulence in the Transonic Moch Number Regime" Prec.of International Symposium on Mothematical Modelling of Turbulent Flows. 268-273 (1995)

    • Related Report
      1995 Annual Research Report

URL: 

Published: 1995-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi