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Algorithm of Incompressible Flow Simulation for Massively Parallel Computer in Small Granularity

Research Project

Project/Area Number 08455087
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionThe University of Tokyo

Principal Investigator

ARAKAWA Chuichi  The University of Tokyo, 大学院工学系研究科, 教授 (30134472)

Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1997: ¥2,400,000 (Direct Cost: ¥2,400,000)
KeywordsComputational Fluid Dynamics / Incompressible Flow / Coupled Method / Parallel Computation / Granularity / Circular cylinder / 角柱流れ
Research Abstract

Massively parallel computers of distributed memories which consist of more than several hundreds processors become popular when a huge scale of numerical simulations are carried out. The standard algorithm for incompressible flow such as SIMPLE and MAC,so-called "de-coupled algorithm", cannot keep the large value of parallel efficiency as the number of processors increases and the granularity becomes small. This research proposes that the coupled method, which solves momentum equations and continuity equation simultaneously, is very effective for massive parallel computing even in small granularity.
The reason why this coupled method is suitable for massively parallel computing is the small occupation of the overhead time for communications between processors. The another reason is the simplicity of algorithm because the main part is to solve a small matrix in each cell of control volume.
The results of coupled algorithm are as follows. In the calculations of two-dimensional circular cyl … More inder whose grid number is 256x128, the speed-up factor becomes 235,374 and 491 as the number of processors increases to 256,512 and 1024 respectively, which means that the efficiency of parallel algorithm decreases to 92,73 and 48%. It is found that the adequate performance is derived in the coupled method even if the number of grid points, that is, granularity, is very small such as 128,64 and 32. For example, the efficiency of 50% for the very small granularity of 32 grid points is surprisingly large comparing with around 10% in the standard algorithm of SIMPLE.The similar results are confirmed in the other flows of two- and three-dimensional rectangular cylinder. The final simulation of three-dimensional circular cylinder is carried out with this developed code, in which it is confirmed that the Karman vortex appears behind a obstacle and its structure is very similar to the exact one. This code will be developed to a huge simulation of LES which is a future solver for the design, and furthermore to "a real time simulator" with more than one million processors. Less

Report

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

    (16 results)

All Other

All Publications (16 results)

  • [Publications] Kenjiro SHIMANO: "Incompressible Navier-Stokes Solver with Extrapolation Method Suitable for Massively Parallel Computing (Application of Extrapolation Method to Linear Equation)" JSME International Journal (B). 40・3. 351-357 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kenjiro SHIMANO: "Incompressible Navier-Stokes Solver with Extrapolation Method Suitable for Massively Parallel Computing (Application of Extrapolation Method to N-S Equations)" JSME International Journal (B). 40・3. 358-364 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kenjiro SHIMANO: "Application of Extrapolation Method to Poisson Equations on Massively parallel Computer" Parallel Computational Fluid Dynamics. 376-383 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 浜島善之: "連立解法を用いた一般座標系における非圧縮性流体の超並列計算" 第11回数値流体力学シンポジウム. 395-396 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kenjiro SHIMANO: "Incompressible Navier-Stokes Solver with Extrapolation Method Suitable for Massively Parallel Computing (Application of Extrapolation Method to Linear Equation)." JSME International Journal (B). 40-3. 351-357 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kenjiro SHIMANO: "Incompressible Navier-Stokes Solver with Extrapolation Method Suitable for Massively Parallel Computing (Application of Extrapolation Method to N-S Equations)." JSME International Journal (B). 40-3. 358-364 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kenjiro SHIMANO: "Application of Extrapolation Method to Poisson Equation and N-S Equations on Massively parallel Computer." Parallel Computational Fluid Dynamics. 376-383 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yoshiyuki HAMAJIMA: "Incompressible Navier-Stokes Solver on Massively Parallel Computer Adopting Coupled Method for B.F.C." 11th Symposium on Numerical Turbulent Flow. 395-396 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Kenjiro SHIMANO: "Incompressible Navier-Stokes Solver with Extrapolation Method Suitable for Massively Parallel Computing (Application of Extrapolation Method to Linear Equation)" JSME International Journal(B). 40・3. 351-357 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Kenjiro SHIMANO: "Incompressible Navier-Stokes Solver with Extrapolation Method Suitable for Massively Parallel Computing (Application of Extrapolation Method to N-S Equations)" JSME International Journal(B). 40・3. 358-364 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Kenjiro SHIMANO: "Application of Extrapolation Method to Poisson Equations on Massively parallel Computer" Parallel Computational Fluid Dynamics. 376-383 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 浜島善之: "連立解法を用いた一般座標系における非圧縮性流体の超並列計算" 第11回数値流体力学シンポジウム. 395-396 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 島野健二郎・荒川忠一: "外挿法による超並列計算機に適した非圧縮流れ計算手法の研究" 日本機械学会論文集(B). 62-600. 3023-3028 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 島野健二郎・荒川忠一: "外挿法による超並列計算機に適した非圧縮流れ計算法の研究第2報" 日本機械学会論文集(B). 62-603. 3899-3904 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Shimano & C.Arakawa: "Application of Extrapolation Method to Incompressible N-S Equations on Massive Parallel Computer" 15^<th>.International Conference on Numerical Method in Fluid Dynamics. 16-17 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Shimano & C.Arakawa: "Numerical Simulation of Incompressible Flow on Parallel Computer with the Domain Decomposition Technique" Parallel Computational Fluid Dynamics(Elsevier). 186-196 (1995)

    • Related Report
      1996 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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