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Development of high accurate characteristic Galerkin scheme on CFD using NURBS basis functions

Research Project

Project/Area Number 24560590
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Structural engineering/Earthquake engineering/Maintenance management engineering
Research InstitutionHachinohe National College of Technology

Principal Investigator

MARUOKA Akira  八戸工業高等専門学校, 建設環境工学科, 准教授 (30310973)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords数値流体力学 / NURBS / Bスプライン / アイソジオメトリック解析 / 特性ガラーキン法 / ラグランジュ未定乗数法 / ニッチェの方法
Outline of Final Research Achievements

The purpose of this study is to develop a new CFD (computational fluid dynamics) scheme with high accuracy to compute incompressible flow fields. We have focused on the NURBS (non-uniform rational basis spline) basis functions, which are commonly used in the CAD (computer aided design) to represent geometry. In the present scheme, we have used the NURBS not only to represent domain and boundary for the CFD but also to approximate unknown functions such as velocity and pressure, and have applied the characteristic Galerkin scheme based on the characteristic curve method to compute advection dominated flow fields accurately.
Furthermore, in order to solve a problem of incompressible flow in a domain which includes an internal boundary on which a Dirichlet boundary condition is imposed, we have employed the Lagrange multiplier method integrated with the Nitsche's method on a treatment of the internal boundary.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (7 results)

All 2013 2012

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (5 results)

  • [Journal Article] Treatment of Internal Boundary Based on Nitsche's Method for Characteristic Galerkin Procedure Using Spline Function2013

    • Author(s)
      木村 達也, 丸岡 晃, 山田 貴博, 松井 和己
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

      Volume: 69 Issue: 2 Pages: I_87-I_94

    • DOI

      10.2208/jscejam.69.I_87

    • NAID

      130004557417

    • ISSN
      2185-4661
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 非圧縮性流れにおける混合型Bスプライン近似に基づく特性ガラーキン法2012

    • Author(s)
      丸岡 晃, 山田 貴博
    • Journal Title

      土木学会論文集 A2(応用力学)

      Volume: Vol. 68, No. 2 Pages: 149-160

    • NAID

      130004557254

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Nitscheの方法を用いたスプライン基底による特性ガラーキン法2013

    • Author(s)
      木村 達也, 丸岡 晃, 山田 貴博, 松井 和己
    • Organizer
      第18回計算工学講演会
    • Place of Presentation
      東京大学生産技術研究所(東京都目黒区)
    • Related Report
      2013 Research-status Report
  • [Presentation] スプラインによる特性Galerkin法におけるNitscheの方法に基づく境界組み込み手法2013

    • Author(s)
      木村 達也, 丸岡 晃, 山田 貴博, 松井 和己
    • Organizer
      第16回応用力学シンポジウム
    • Place of Presentation
      東京大学柏キャンパス (千葉県柏市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 非圧縮性流れにおける発散フリーなBスプラインを用いた特性ガラーキン法2012

    • Author(s)
      丸岡 晃, 山田 貴博
    • Organizer
      第17回計算工学講演会
    • Place of Presentation
      京都教育文化センター(京都府)
    • Related Report
      2012 Research-status Report
  • [Presentation] 非圧縮性流れにおける混合型Bスプライン近似に基づく特性ガラーキン法2012

    • Author(s)
      丸岡 晃, 山田 貴博
    • Organizer
      第15回応用力学シンポジウム
    • Place of Presentation
      名古屋大学(愛知県)
    • Related Report
      2012 Research-status Report
  • [Presentation] 非圧縮性流れにおける発散フリーを保証する混合型Bスプライン近似に基づく特性Galerkin法2012

    • Author(s)
      丸岡 晃, 山田 貴博
    • Organizer
      第67回土木学会年次学術講演会
    • Place of Presentation
      名古屋大学(愛知県)
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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