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Convergence Acceleration of High Reynolds Number Transonic Flow based on Hyperbolic Navier-Stokes Equations

Research Project

Project/Area Number 15K18286
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Aerospace engineering
Research InstitutionJapan Aerospace EXploration Agency

Principal Investigator

Hashimoto Atsushi  国立研究開発法人宇宙航空研究開発機構, 航空技術部門, 主任研究開発員 (30462899)

Research Collaborator NAGAO Tsukasa  
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
KeywordsCFD / 数値流体力学 / 圧縮性流体力学 / 収束加速 / 非構造格子 / 双曲型 / 圧縮成流体力学
Outline of Final Research Achievements

We applied a numerical method based on hyperbolic Navier-Stokes equations to computational fluid dynamics (CFD) on aircraft. We extended the method for three-dimensional problems and implemented it with an unstructured-grid flow solver FaSTAR. The original Navier-Stokes equations are five equations, whereas the hyperbolic equations are 20 equations since the equations of derivative values are added. When we solve the equations with an implicit time-evolution method, we need to solve the 20×20 matrix problems. In this research, we proposed an approximation method of the matrix. We showed that the approximation method can reduce the computational time remarkably and it is faster than the conventional CFD method.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (3 results)

All 2018 2016

All Presentation (3 results) (of which Int'l Joint Research: 2 results)

  • [Presentation] A Study on Time Evolution Method for Hyperbolic Navier-Stokes System2018

    • Author(s)
      Tsukasa Nagao, Atsushi Hashimoto, and Tetsuya Sato
    • Organizer
      AIAA SciTech Forum
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 双曲型移流拡散方程式の時間発展法に関する検討2016

    • Author(s)
      長尾 志,橋本 敦,青山 剛史,佐藤 哲也
    • Organizer
      第30回数値流体力学シンポジウム
    • Place of Presentation
      タワーホール船堀
    • Year and Date
      2016-12-12
    • Related Report
      2016 Research-status Report
  • [Presentation] Results of Three-dimensional Turbulent Flow with FaSTAR2016

    • Author(s)
      Atsushi Hashimoto, Takashi Ishida, Takashi Aoyama, Kuniyuki Takekawa, Kenji Hayashi
    • Organizer
      54th AIAA Aerospace Sciences Meeting, AIAA SciTech
    • Place of Presentation
      San Diego, USA
    • Year and Date
      2016-01-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research

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Published: 2015-04-16   Modified: 2019-03-29  

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