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Development of a finite element code with adaptive mesh refinement for flow problems

Research Project

Project/Area Number 19540138
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyushu University

Principal Investigator

ATSUSHI Suzuki  Kyushu University, 大学院・数理学研究院, 助教 (60284155)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords解適合細分 / 階層型有限要素 / 特性有限要素法 / 部分構造反復法 / 縁取り直接解法
Research Abstract

非圧縮流れの基礎方程式であるナビエ・ストークス方程式で記述される三次元流れ問題において, 少ない計算量で高解像度の計算を実現できる計算コードを開発した. ナビエ・ストークス方程式の物質微分項に特性曲線による近似を適用して時間微分の近似を行うことで時間発展の各ステップで線形のストークス方程式を解く. 領域全体での高解像メッシュを用いることなく, 流れが急激に変化する領域において有限要素分割を細分することで効率的な計算を行う事ができる. 三次元ストークス方程式は大規模計算となるが, 部分構造反復法を改良することで効率的な並列計算が可能になった.

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (22 results)

All 2009 2008 2007 Other

All Journal Article (8 results) (of which Peer Reviewed: 6 results) Presentation (14 results)

  • [Journal Article] An iterative substructuring method for the discretized Stokes equations by a stabilized finite element method2009

    • Author(s)
      Suzuki, A.
    • Journal Title

      to appear in Proceedings of ALGORITMY 18

      Pages: 41-50

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] An iterative substructuring solver for the Stokes equations, to appear in Proceedings of the First International Conference on Parallel2009

    • Author(s)
      Suzuki, A.
    • Journal Title

      Distributed and Grid Computing for Engineering, B.H.V. Topping and P. Ivanyi, (eds.), Civil-Comp Press 90

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Finite element matrices in congruent subdomains and some techniques for practical problems2009

    • Author(s)
      A Suzuki
    • Journal Title

      Domain Decomposition Methods : Algorithms and Practice, F. Magoules ed., Civil-Comp Press. to appear

      Pages: 37-37

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An iterative substructuring method for the discretized Stokes equations by a stabilized finite element method2009

    • Author(s)
      A. Suzuki
    • Journal Title

      ALGORITMY 2009, 18th Conference on Scientific Computing Vysoke Tatry-Podbanske, Slovakia, March 15-20, 2009, Proceedings of contributed papers and poster 18

      Pages: 41-50

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An iterative substructuring solver for the Stokes equations2009

    • Author(s)
      A. Suzuki
    • Journal Title

      Proceedings of the First International Conference on Parallel, Distributed and Grid Computing for Engineering B. H. V. Topping and P. Ivanyi, (Editors) Civil-Comp Press in press

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ストークス方程式に対する平衡化前処理付き領域分割法2007

    • Author(s)
      鈴木厚
    • Journal Title

      計算工学講演論文集 12

      Pages: 833-834

    • Related Report
      2008 Final Research Report
  • [Journal Article] ストークス方程式に対する平衡化前処理付き領域分割法2007

    • Author(s)
      鈴木 厚
    • Journal Title

      計算工学講演論文集 12

      Pages: 833-834

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Finite element matrices in congruent subdomains and some techniques for practical problems

    • Author(s)
      Suzuki, A., Tabata, M.
    • Journal Title

      Algorithms and Practice, Civil-Comp Press(F. Magoules ed.) (accepted)

      Pages: 37-37

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Presentation] A balancing domain decomposition method with congruent subdomains for the Stokes equations2009

    • Author(s)
      Suzuki, A.
    • Organizer
      Seminarie Equations aux derives partielles, Institute de Recherche Mathematique Anancee, Universite de Strasbourg
    • Place of Presentation
      Strasbourg, France
    • Year and Date
      2009-03-24
    • Related Report
      2008 Final Research Report
  • [Presentation] An iterative substructuring method for the discretized Stokes equations by a stabilized finite element method, ALGORITMY 20092009

    • Author(s)
      Suzuki, A.
    • Organizer
      18th Conference on Scientific Computing Vysoke Tatry-Podbanske, Slovakia
    • Place of Presentation
      Slovakia
    • Year and Date
      2009-03-17
    • Related Report
      2008 Final Research Report
  • [Presentation] An iterative substructuring method for the discretized Stokes equations by a stabilized finite element method2009

    • Author(s)
      A. Suzuki
    • Organizer
      ALGORITMY 2009, 18th Conference on Scientific Computing
    • Place of Presentation
      Podbanske, Slovakia
    • Year and Date
      2009-03-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] An iterative substructuring algorithm with congruent subdomains, Workshop on Numerical Methods2009

    • Author(s)
      Suzuki, A.
    • Organizer
      Laboratoire Jacques-Louis Lions
    • Place of Presentation
      Paris, France
    • Year and Date
      2009-01-19
    • Related Report
      2008 Final Research Report
  • [Presentation] Preconditioned conjugate gradient solver for the Stokes equations2009

    • Author(s)
      Suzuki, A.
    • Organizer
      Necas Seminar on Continuum Mechanics
    • Place of Presentation
      Charles University in Prague, Czech Republic
    • Year and Date
      2009-01-05
    • Related Report
      2008 Final Research Report
  • [Presentation] An iterative substructuring algorithm with congruent subdomains2008

    • Author(s)
      Suzuki, A.
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2008
    • Place of Presentation
      Takachiho, Miyazaki, Japan.
    • Year and Date
      2008-09-03
    • Related Report
      2008 Final Research Report
  • [Presentation] An iterative substructuring algorithm with congruent subdomains2008

    • Author(s)
      A. Suzuki
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2008
    • Place of Presentation
      Takachiho, Miyazaki
    • Year and Date
      2008-09-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] ストークス方程式に対する部分構造反復法の高速実装2008

    • Author(s)
      鈴木厚
    • Organizer
      第13回計算工学講演会
    • Place of Presentation
      仙台市民会館
    • Year and Date
      2008-05-21
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] A fast domain decomposition solver for the Stokes problems2008

    • Author(s)
      Suzuki, A.
    • Organizer
      Mini workshop on advanced mathematical and computational methods
    • Place of Presentation
      Czech Technical University in Prague, Czech Republic.
    • Year and Date
      2008-03-10
    • Related Report
      2008 Final Research Report
  • [Presentation] 合同名部分領域分割による有限要素方程式解法2007

    • Author(s)
      鈴木厚
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2007-12-18
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] Parallel finite element solver for the Stokes equations2007

    • Author(s)
      Suzuki, A.
    • Organizer
      DMHF2007 : COE Conference on the Development of Dynamic Mathematics with High Functionality
    • Place of Presentation
      Fukuoka Recent Hotel, Japan.
    • Year and Date
      2007-10-04
    • Related Report
      2008 Final Research Report
  • [Presentation] ストークス方程式の平衡化前処理付き領域分割法ソルバー2007

    • Author(s)
      鈴木厚
    • Organizer
      日本応用数理学会2007年度年会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-15
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] A 3-D implementation of characteristic Galerkin method with P1-interpolation2007

    • Author(s)
      Suzuki, A.
    • Organizer
      INSF2007 : International Conference on Recent Developments of Numerical Schemes for Flow Problems
    • Place of Presentation
      Kyushu University, Japan
    • Year and Date
      2007-06-29
    • Related Report
      2008 Final Research Report
  • [Presentation] A 3-D implememation of characteristic Galerkin method with Pl-interpolation2007

    • Author(s)
      Atsushi Suzuki
    • Organizer
      INSF2007:International Conference on Rccent Developmemts of Numerical Schemes for Flow Problems
    • Place of Presentation
      九州大学
    • Year and Date
      2007-06-29
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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