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Analysis of Heat and Fluid Flow Problems in a Multiply-Connected Region, using a Conformal Mapping

Research Project

Project/Area Number 20540108
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 InstitutionTokyo Institute of Technology

Principal Investigator

MOCHIMARU Yoshihiro  東京工業大学, 大学院・理工学研究科, 教授 (90092577)

Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords数理物理 / 数理工学 / シミュレーション工学 / 流体工学
Research Abstract

Extension and applicability of conformal mapping used in a finite difference scheme is investigated. Univalence of conformal mapping required is searched in a family of functions possessing parameters, whereas an explicit condition for multiply-connectedness is clearly introduced and several concrete conformal mapping functions for a multiply-connected domain are proposed, supplemented with a transform of a variable if any, since such a conformal mapping function is not uniquely determined as long as only corresponding boundary configurations are specified a priori.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (30 results)

All 2011 2010 2009 2008

All Journal Article (23 results) (of which Peer Reviewed: 15 results) Presentation (7 results)

  • [Journal Article] Basic Idea for Numerical Analysis of Heat and Fluid Flow Problems, using A Spectral Finite Difference Scheme2011

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Journal of Analytical & Bioanalytical Techniques

      Volume: 2 Pages: 33-33

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spectral Finite Difference Analysis of Natural Convection in a Triply-Connected Region of a Nearly Parallel Enclosure2011

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Second International Conference on Computational Methods for Thermal Problems

      Pages: 151-154

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spectral Finite Difference Analysis of Natural Convection in a Multiply-Connected Region with Sudden Expansion2011

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      International Journal of Pure and Applied Mathematics

      Volume: 70 Pages: 765-774

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spectral Finite Difference Analysis of Natural Convection in a Multiply-Connected Region2010

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      International Electronic Journal of Pure and Applied Mathematics

      Volume: 2 Pages: 7-15

    • Related Report
      2011 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spectral Finite Difference Analysis for Natural Convection in a Multiply-connected Region2010

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Thermal and Environmental Issues in Energy Systems

      Volume: 2 Pages: 1097-1100

    • Related Report
      2011 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Conformal Mapping from a Rectangular to a Circular Region2010

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Using Special Functions, Int. J. Pure and Applied Mathematics

      Volume: 62 Pages: 185-193

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spectral Finite Difference Analysis of Natural Convection in a Multiply-connected Region2010

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      International Electronic Journal of Pure and Applied Mathematics Vol.2

      Pages: 7-15

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Spectral Finite Difference Analysis for Natural Convection in a Multiply-connected Region2010

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Thermal and Environmental Issues in Energy Systems Vol.2

      Pages: 1097-1100

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Conformal Mapping from a Rectangular to a Circular Region, Using Special Functions2010

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Int.J.Pure and Applied Mathematics Vol.62

      Pages: 185-193

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Conformal Mapping from a Rectangular to a Circular Region, Using Special Functions2010

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Int.J.Pure and Applied Mathematics

      Volume: 62 Pages: 185-193

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Analysis of Natural Convection Heat Transfer from a Fin in a Parallel Enclosure2009

    • Author(s)
      Y. Mochimaru & M-W. Bae
    • Journal Title

      ISME Busan 2009 Proceedings

      Volume: (CD-ROM)

    • Related Report
      2011 Final Research Report
  • [Journal Article] Spectral Finite Difference Analysis in a Doubly-Connected Region2009

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      First International Conference on Computational Methods for Thermal Problems

      Pages: 191-194

    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Natural Convection Heat Transfer from Near Pentagon-like Configuration, using a Mathieu Function Expansion2009

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Proceedings of ICCHMT' 09

      Pages: 105-110

    • Related Report
      2011 Final Research Report
  • [Journal Article] Natural Convection Heat Transfer from Near Pentagon-like Configuration, using a Mathieu Function Expansion2009

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Proceedings of ICCHMT'09

      Pages: 105-110

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Natural Convection Heat Transfer fromNear Pentagon-like Configuration, using a Mathieu Function Expansion2009

    • Author(s)
      Y.Mochimaru
    • Journal Title

      Proceedings of ICCHMT '09

      Pages: 105-110

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Spectral Finite Difference Analysis in a Doubly-Connected Region2009

    • Author(s)
      Y.Mochimaru
    • Journal Title

      First International Conference on Computational Methods for Thermal Problems

      Pages: 191-194

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Analysis of Natural Convection Heat Transfer from a Fin in a Parallel Enclosure2009

    • Author(s)
      Y.Mochimaru, M-W.Bae
    • Journal Title

      ISME Busan 2009 Proceedings (CD-ROM)

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Precise Estimation of Conformal Mapping in Heat and Fluid Flow Problems2008

    • Author(s)
      Y. Mochimaru & M-w. Bae
    • Journal Title

      KSAE2008 Annual Conf. And Exhibition

      Pages: 148-148

    • Related Report
      2011 Final Research Report 2008 Annual Research Report
  • [Journal Article] Existence/Non-Existence of Conformal Mapping in Some Family of Functions2008

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      International J. Pure and Applied Math.

      Volume: 49 Pages: 497-503

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Existence Non-Existence of Conformal Mapping in Some Family of Functions2008

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Fifth International Conf. Applied Math. Comp.

      Volume: 2 Pages: 307-308

    • Related Report
      2011 Final Research Report
  • [Journal Article] Existence Non-Existence of Conformal Mapping in Some Family of Functions2008

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      Fifth International Conf. Applied Math. Comp. 2

      Pages: 307-308

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Existence / Non-Existence of Conformal Mapping in Some Family of Functions2008

    • Author(s)
      Yoshihiro Mochimaru
    • Journal Title

      International J. Pure and Applied Math. 49

      Pages: 497-503

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Precise Estimation of Conformal Mapping in Heat and Fluid Flow Problems2008

    • Author(s)
      Y. Mochimaru & M-w. Bae
    • Journal Title

      KSAE2008 Annual Conf. And Exhibition (DVD-ROM)

    • Related Report
      2008 Annual Research Report
  • [Presentation] Basic Idea for Numerical Analysis of Heat and Fluid Flow Problems, using a Spectral Finite Difference Scheme2011

    • Author(s)
      Yoshihiro Mochimaru
    • Organizer
      Second International Conference on Analytical and Bioanalytical Techniques
    • Place of Presentation
      San Francisco, U. S. A.
    • Year and Date
      2011-12-16
    • Related Report
      2011 Final Research Report
  • [Presentation] Basic Idea for Numerical Analysis of Heat and Fluid Flow Problems, using A Spectral Finite Difference Scheme2011

    • Author(s)
      Yoshihiro Mochimaru
    • Organizer
      Second International Conference on Analytical and Bioanalytical Techniques
    • Place of Presentation
      San Francisco, U.S.A.
    • Year and Date
      2011-12-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Spectral Finite Difference Analysis for Natural Convection in a Multiply-connected Region2010

    • Author(s)
      Yoshihiro Mochimaru
    • Organizer
      Thermal and Environmental Issues in Energy Systems
    • Place of Presentation
      Sorrento, Italy
    • Year and Date
      2010-05-19
    • Related Report
      2011 Final Research Report 2010 Annual Research Report 2010 Self-evaluation Report
  • [Presentation] Conformal Mapping from a Rectangular to a Circular Region, using Special Functions2010

    • Author(s)
      Yoshihiro Mochimaru
    • Organizer
      The First International Conference on Mathematics and Statistics
    • Place of Presentation
      Sharjah, UAE
    • Year and Date
      2010-03-20
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Precise Estimation of Conformal Mapping in Heat and Fluid Flow Problems2008

    • Author(s)
      Yoshihiro Mochimaru
    • Organizer
      KSAE2008 Annual Conf. And Exhibition
    • Place of Presentation
      Taejon, Korea
    • Year and Date
      2008-11-20
    • Related Report
      2011 Final Research Report 2008 Annual Research Report
  • [Presentation] Existence Non-Existence of Conformal Mapping in Some Family of Functions2008

    • Author(s)
      Yoshihiro Mochimaru
    • Organizer
      Fifth International Conf. Applied Math. Comp.
    • Place of Presentation
      Plovdiv, Bulgaria
    • Year and Date
      2008-08-13
    • Related Report
      2011 Final Research Report 2008 Annual Research Report
  • [Presentation] Existence/Non-Existence of Conformal Mapping in Some Family of Functions2008

    • Author(s)
      Yoshihiro Mochimaru
    • Organizer
      Fifth International Conference of Applied Mathematics and Computing
    • Place of Presentation
      Plovdiv, Bulgaria
    • Year and Date
      2008-08-13
    • Related Report
      2010 Self-evaluation Report

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Published: 2008-04-01   Modified: 2016-04-21  

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