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Mathematical study of micro pressure waves for developments in modern high-speed trains

Research Project

Project/Area Number 15KT0014
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionKyoto University

Principal Investigator

Sakajo Takashi  京都大学, 理学研究科, 教授 (10303603)

Co-Investigator(Kenkyū-buntansha) 大縄 将史  東京海洋大学, 学術研究院, 准教授 (10443243)
岡本 久  京都大学, 数理解析研究所, 教授 (40143359)
Project Period (FY) 2015-07-10 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2018: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2017: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2016: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2015: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Keywords応用数学 / 流体工学 / 交通計画・国土計画 / 関数方程式論 / 関数論 / 交通工学・国土計画 / データ解析
Outline of Final Research Achievements

In this research project, we investigate the dynamics of micro pressure waves generated by modern high-speed trains in tunnels by organizing a joint group among mathematicians and researchers in Railway Technical Research Institute (RTRI). We have proposed a new numerical scheme for a one-dimensional integro-differential nonlinear equation (Ozawa equation) describing the development of micro pressure waves, thereby we understand their dynamics in detail. Also, we have conducted comprehensive data analysis for real measured pressure data offered by RTRI to understand the relation between the shape of tunnel entrances and pressure wave developments. As a consequence, we have created mathematical foundations to deal with severe practical problems caused by micro pressure waves. In addition, we have successfully explored new problems with regard to train technologies in RTRI. The joint research will be continued under joint research contract with RTRI after the project ends.

Academic Significance and Societal Importance of the Research Achievements

本研究課題の意義は,数学研究者と鉄道技術開発の研究者グループが密接に協働することで,高速鉄道の微気圧波の起こす様々な障害という現実的な課題に対して,従来にない新しい数理的手法や視点を持ち込むこと(シーズ展開)に成功して,鉄道開発の現場の要請を解決することに一定の成果を得たことである.同時に鉄道総研が抱える様々な課題を数理的な問題として検討する(ニーズ探索)を実現して,今後の継続的な共同研究事業へと引き継がれた点にも意義がある.ここれ得られたノウハウは広く数理科学者からの諸分野・産業への連携探索に利用できるものとして本特設分野研究の趣旨にも応えることができた.

Report

(6 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (19 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (6 results) Journal Article (3 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 3 results) Presentation (8 results) (of which Int'l Joint Research: 4 results,  Invited: 4 results) Funded Workshop (2 results)

  • [Int'l Joint Research] Bartosz Protas(カナダ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Robert Krasny/Stefan Llewellyn SmithStefan(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Darren Crowdy(英国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] McMaster Univ.(カナダ)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Imperial College London(英国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] McMaster University(Canada)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Harnessing the Kelvin?Helmholtz instability: feedback stabilization of an inviscid vortex sheet2018

    • Author(s)
      Protas Bartosz、Sakajo Takashi
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 852 Pages: 146-177

    • DOI

      10.1017/jfm.2018.523

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Tree representations of streamline topologies of structurally stable 2D incompressible flows2018

    • Author(s)
      Sakajo Takashi,Yokoyama Tomoo
    • Journal Title

      IMA Journal of Applied Mathematics

      Volume: 印刷中 Issue: 3 Pages: 380-411

    • DOI

      10.1093/imamat/hxy005

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Linear feedback stabilization of point vortex equilibria near a Kasper Wing2017

    • Author(s)
      Nelson Rhodri, Protas Bartosz, Sakajo Takashi
    • Journal Title

      J. Fluid Mech.

      Volume: 827

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Mathematical models of cascading phenomena in turbulence2019

    • Author(s)
      Takashi Sakajo
    • Organizer
      Workshop on Scientific Computing Across Scales: Extreme Events and Criticality in Fluid Mechanics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of Streamline Topologies for Hamiltonian vector fields and its applications to Topological Flow Data Analysis2019

    • Author(s)
      Takashi Sakajoi
    • Organizer
      SIAM Conference on Applied Algebraic Geometry
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Linear feedback stabilization of point vortex equilibria near a Kasper Wing2019

    • Author(s)
      Takashi Sakajo
    • Organizer
      International Congress of Industrial and Applied Mathematics (ICIAM2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非粘性渦層におけるKelvin-Helmholtz不安定のフィードバック制御2019

    • Author(s)
      坂上貴之
    • Organizer
      第65回理論応用力学講演会・第22回土木学会応用力学シンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] One-dimensional Hydrodynamic model for turbulence with cascade and sigular solutions2018

    • Author(s)
      Takashi Sakajo
    • Organizer
      The Univ of Mancheste
    • Related Report
      2018 Research-status Report
  • [Presentation] Kasper翼まわりの定常点渦の安定化を実現する線型フィードバック制御2018

    • Author(s)
      坂上貴之
    • Organizer
      日本数学会年会2018
    • Related Report
      2017 Research-status Report
  • [Presentation] Mathematical research on Micro-Pressure Waves2017

    • Author(s)
      Sakajo Takashi
    • Organizer
      Expert Exchange on Micro-Pressure Waves
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 渦の科学研究とその 魅力・働き~なぜ科学者は渦に魅せられるのか~2017

    • Author(s)
      坂上貴之
    • Organizer
      鳴門海峡の渦潮世界自然遺産推進合同交流研修会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Funded Workshop] Control and Estimation Problems in Fluid Mechanics and Fields2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Japan-Taiwan Jointworkshop on Numerical Analysis2016

    • Place of Presentation
      台北(台湾)
    • Year and Date
      2016-11-25
    • Related Report
      2016 Research-status Report

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Published: 2015-07-14   Modified: 2022-11-04  

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