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Development of Numerical Algorithm for Multi-Phase Flow by Distributed Computer

Research Project

Project/Area Number 11650166
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionTOKYO INSTITUTE OF TECHNOLOGY

Principal Investigator

YABE Takashi  TOKYO INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL SCIENCES AND ENGINNERING TITLE OF POSITION : PROFESSOR, 大学院・理工学研究科, 教授 (60016665)

Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2000: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1999: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsMulti-Phase Flow / Parallel Computation / Numerical Method / PC Clusters / Distributed Memory / Fluid Dynamics / CIP Method / Pressure Equation
Research Abstract

We have develped the numerical scheme, CIP method, which is able to solve solid, fluid and gassimultaneously. By this method, the boundary of multiphase flow can be captured with the fixed mesh. Most importantly, gas and fluid that have completely different playsical properties can be calculated simultaneously.
Since the performance of computation is limited when only one CPU of computer is used, parallel and distributed computers becomes mainstream at present. In accordance with this trend, we need to look for the scheme that is appropriate for parallel calculation. The purpose of this research is to establish the best numerical scheme for multiphase flow.
Since parallel algorithm can be readily applied to the advection phase of the CIP, we constructed PC clusters, and established at first the parallel scheme of only advection phase. Thus, 3 GFLOPS has been realized with 24 PCs. Since one PC has the performance in 100MFLOPS, we were able to achieve a speed in the range of "super linear".
Nextly, we considered the parallel scheme to solve pressure equation. As one of them, we tried the SOR method with the Red-Black method. We confirmed that the calculation speed with 24 PCs increases almost in proportion to the number of PC as well. This performance is similar for SSI (Symmetrical Semi Implicit) scheme we planed to use, and the SOR method with the Red-Black method is faster in view of convergence. With this method, we succeeded to calculate three-dimensional multiphase fluid with 24 CPUs.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] Y.Ogata & T.Yabe: "Shock Capturing with Improved Numerical Viscosity in Primitive Euler Representation,"Comput.Phys.Commun. 119. 179-193 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Yoon & T.Yabe: "The Unified Simulation for Incompressible and Compressible Flow by Predictor-Corrector Scheme Based on CIP Method,"Comput.Phys.Commun. 119. 149-158 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Nakamura & T.Yabe: "Cubic Interpolated Propagation Scheme for Solving the Hyper-Dimensional Vlasov-Poisson Equation in Phase Space,"Comput.Phys.Commun. 120. 122-154 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Tanaka,T.Nakamura,T.Yabe: "Constructing exactly conservative scheme in a non-conservative form"Comput.Phys.Commun. 126. 232-243 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Yabe: "A Universal Numerical Solver for Solid, Liquid and Gas-Application to Laser-Induced Melting and Evaporation-"SPIE Proc.On Laser-Assisted Microtechnology. 4157. 1-7 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Tanaka, T.Yabe, T.Nakamura and H.Wu: "A Class of Conservative Formulation of the CIP Method"CFD Journal. 8-1. 1-5 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] F.Xiao and T.Yabe: "Computation of Complex Flows Containing Rheological Bodies"CFD Journal. 8-1. 43-49 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Tajima and T.Yabe: "Simulation on Slamming of a Vessel by CIP Method"J.Phys.Soc.Japan. 68. 2576-2584 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Ogata and T.Yabe: "Shock Capturing with Improved Numerical Viscosity in Primitive Euler Representation"Comput.Phys.Commun. 119. 179-193 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Yoon and T.Yabe: "The Unified Simulation for Icompressible and Compressible Flow by Predictor-Corrector Scheme Based on CIP Method."Comput.Phys.Commun.. 119. 149-158 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Nakamura and T.Yabe: "Cubic Interpolated Propagation Scheme for Solving the Hyper-Dimensional Vlasov-Poisson Equation in Phase Space."Comput.Phys.Commun. 120. 122-154 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] F.Xiao, T.Yabe and T.Ebisuzaki: "An Oscillation Suppressing Semi-Lagrangian Solver for Advection Equation"Comput.Phys.Commun.. 116. 121-135 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Tanaka, T.Nakamura and T.Yabe: "Constructing exactly conservative scheme in a non-conservative form"Comput.Phys.Commun.. 126. 232-243 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Zhang and T.Yabe: "Effect of Ambient Gas on Three-Dimensional Breakup in Coronet Formation"CFD Journal. 8. 378-382 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Yabe: "A University Numerical Solver for Solid , Liquid and Gas-Application to Laser-Induced Melting and Evaporation-"SPIE Proc.On Laer-Assisted Microtechnology. Vol.4157. 1-7 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Yabe: "Three-Dimensional hydrodynamic Simulation of Laser-Induced Melting and Evaporation"SPIE Proc.On High-Power Laser Ablation III. Vol.4065. 52-61 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Kuwate, B.S.Luk'yanchuk and T.Yabe: "Nanocluster Formation within the Vaper Plume Produced by Nanosecond Laser Ablation : Effect of the Initial Density and Pressure Distribution"SPIE Proc.On High-Power Laser Ablation III. Vol.4065. 441-451 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Yabe, R.Tanaka, T.Nakamura and F.Xiao: "An Exactly Conservative Semi-Lagrangian Scheme (CIP-CSL) In One Dimension"Mon.Wea.Rev.. 129. 332-344 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Ogata & T.Yabe: "Shock Capturing with Improved Numerical Viscosity in Primitive Euler Representation,"Comput.Phys.Commun. 119. 179-193 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.Yoon & T.Yabe: "The Unified Simulation for Incompressible and Compressible Flow by Predictor-Corrector Scheme Based on CIP Method,"Comput.Phys.Commun. 119. 149-158 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Nakamura & T.Yabe: "Cubic Interpolated Propagation Scheme for Solving the Hyper-Dimensional Vlasov-Poisson Equation in Phase Space,"Comput.Phys.Commun. 120. 122-154 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] R.Tanaka,T.Nakamura,T.Yabe: "Constructing exactly conservative scheme in a non-conservative form"Comput.Phys.Commun. 126. 232-243 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Yabe: "A Universal Numerical Solver for Solid, Liquid and Gas-Application to Laser-Induced Melting and Evaporation-"SPIE Proc.On Laser-Assisted Microtechnology. 4157. 1-7 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Tajima & T.Yabe: "Simulation on Slamming of a Vessel by CIP Method"J.Phys.Soc.Japan. 68. 2576-2584 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Ogata & T.Yabe: "Shock Capturing with Improued Numerical Viscosity in Primitive Euler Representation"Comput.Phys.Commun.. 119. 179-193 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Yoon & T.Yabe: "The Unified Siumlation for Incompressible and Compressible Flow by Predicter-Corrector Scheme Based on CIP Method"Comput.Phys.Commun.. 119. 149-158 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Nakamura & T.Yabe: "Cubic Interpolated Propagation Scheme for Solving the Hyper-Dinensional Vlasov-Poissen Equation in Phase Space"Comput.Phys.Commun.. 120. 122-154 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] R.Tanaka,T.Nakamura,T.Yabe: "Constructing Eractly Conservative Scheme in a Non-Conservative Form"Comput.Phys.Commun.. (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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