• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2000 Fiscal Year Final Research Report Summary

Mathematical analysis of flows directly associated with environmental problems.

Research Project

Project/Area Number 10640100
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 InstitutionIbaraki University

Principal Investigator

ONISHI Kazuei  Ibaraki Univ., Faculty of Sci., Prof., 理学部, 教授 (20078554)

Co-Investigator(Kenkyū-buntansha) FUJIMA Shohiti  Ibaraki University., Faculty of Sci., Assoc. Prof., 理学部, 助教授 (00209082)
HASEGAWA Hiroshi  Ibaraki Univ., Faculty of Sci., Assoc. Prof., 理学部, 助教授 (70282283)
SAKATA Fumihiko  Ibaraki Univ., Faculty of Sci., Prof., 理学部, 教授 (50013438)
NAKAMURA Gen  Gunma Univ., Fac.Engng., Prof., 工学部, 教授 (50118535)
SHIROTA Kenji  Ibaraki University., Faculty of Sci., Assis. Prof., 理学部, 助手 (90302322)
Project Period (FY) 1998 – 2000
KeywordsWater environment / Atmospheric environment / Navier-Stokes equations / Shallow water equations / Finite element method / Finite analytical method / κ-εmodel / Dirichlet-Neumann alternating method
Research Abstract

The purpose of the research project is to investigate mathematical problems in the flow analysis closely connected with the problems of environmental pollution. The research aimes at the development of computer simulation techniques for the protection of the environment in the aquious and atmospheric fields. For the objectives, we obtain the following results :
1. The finite element method is used for numerical solution of flow equations in order to cope with the complex geometry of the flow domian in question. The governing equations are discretized by using the fractional step scheme for incompressible viscous fluid flow and using the Taylor-Galerkin's method for the flow in shallow waters.
2. Boundary conditions are discussed from the view points of the domain decomposition method and the inverse problems. When relatively small areas are considered for numerical simulation of environmental flow problems, artificial boundaries need to be introduced in the formulation, on which some for … More ms of fictitious boundary values should be prescribed. The values to be prescribed on the artificial boundaries play the crucial role for the success of the simulation. However the boundary values are not known a priori, in fact they constitute unknowns of the problem itself. We found from our numerical experiment on the flow simulation around airfoils that appropriate boundary values can be obtained by the Dirichlet-Neumann alternating method after quite a few times of iteration.
3. Laminar flow model turns out to be insufficient for the numerical simulation of flows in the environmental study. We extended our analysis to turbulent models. We concluded that the κ-ε model is the most suitable from the stand points of practical use ; (1) the model is easy-to-use, and (2) data requisite for the implementation of the model are easily accessible. For flows at high Reynolds numbers or order 10^5 in turbulent regime, the finite analytical method was applied for the numerical simulation. The simulation showed good agreement with the corresponding results in physical experiment. Less

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] K.Onishi and Y.Ohura: "Direct method of solution for general boundary value problem of the Laplace equation."Boundary Elements-WIT Press. XXII. 203-210 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.-W.Yan,F.Sakata,Y.-Z.Zhuo and X.-Z.Wu: "Dynamic realization of transport phenomenon in finite system."Physical Reviews. E63. 02116-1/14 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Hasegawa,T.Washio,Y.Ishimiya,and T.Saito: "Nonequilibrium thermodynamics from time series data analysis."Springer Lecture Notes of Artificial Intelligence. 1967. 304-305 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 藤間昌一: "A domain-decompasition finite-element scheme for flow problems -Choice of elements-"京都大学・数理解析研究所講究録. 1129. 9-22 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Shirota,G.Nakamura,and K.Onishi: "Impedance computed tomo-electrocardiography"Chapman & Hall/CRC Research Notes in Mathematics. 419. 155-164 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] G.Nakamura and T.Tsuchida: "Uniqueness for an inverse boundary value problem for Dirac operator."Communications in Partial Differential Equations. 25. 1327-1369 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 登坂宣好,大西和榮,山本昌宏: "逆問題の数理と解法"東京大学出版会. 294 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 川原睦人,藤間昌一 他: "有限要素法による流れのシミュレーション"日本数値流体力学会有限要素法研究委員会(編),シュプリンガー・フェアラーク東京. 298 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Onishi and Y.Ohura: "Direct method of solution for general boundary value problem of the Laplace equation."Boundary Elements-WIT Press. XXII. 203-210 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.-W.Yan, F.Sakata, Y.-Z.Zhuo, and X.-Z.Wu: "Dynamic realization of transport phenomenon in finite system"Physical Review. E63. 02116-1/14 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Hasegawa, T.Washio, Y.Ishimiya, and T.Saito: "Nonequilibrium thermodynamics from time series data analysis."Springer Lecture Notes of Artificial Intelligence.. 1967. 304-305 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Fujima: "A domain-decomposition finite-element scheme for flow problems-Choice of elements-. Research Institute of Mathematical Sciences"Kyoto University. Vol.1129. 9-22 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Shirota, G.Nakamura, and K.Onishi: "Impedance computed tomo-electrocardiography"Chapman & Hall/CRC Research Notes in Mathematics. Vol.419. 155-164 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] G.Nakamura and T.Tsuchida: "Uniqueness for an inverse boundary value problem for Dirac operator."Communicationa in Partial Differential Equations. Vol.25. 1327-1369 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Tosaka, K.Onishi, and M.Yamamoto: "Mathematics and Solutions of Inverse Problems."Tokyo University Publications. 1-294 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Kawahara, S.Fujima, et al.: "Flow Simulation Using Finite Element Methods."Springer-Verlag Tokyo. 1-298 (1998)

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 2002-03-26  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi