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Three Dimensional Numerical Simulation of Stepped Leadee by means of Fractal Model

Research Project

Project/Area Number 01550220
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 電力工学
Research InstitutionOsaka University

Principal Investigator

KAWASAKI Zen-ichiro  Fac. Engineering Dept. Electrical Engineering, 工学部, 講師 (60126852)

Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1990: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1989: ¥800,000 (Direct Cost: ¥800,000)
KeywordsFractal / Stepped leader / Lightning / Simulation / Space charge / Winter Thunderstorm / 雷放電路 / リ-ダ進展 / 雷雲 / 冬季雷・夏季雷 / 数値シミュレ-ション
Research Abstract

Three-dimensional numerical simulations of a stepped leader near the ground surface are carried out by using the Leader Progression Model which is improved by using the novel mathematical concept, Fractal. The finite difference method is applied to the three dimensional Poisson's equation and the stepped leaders, which are initiated at the lower part of the cloud and usually are proceeding toward the artificial constructions on the ground, are simulated to study the theoretical stepped leader progression. The zig-zags and branches of channels, which are believed to be the representative characters of lightning channel, can be simulated in this study.
Besides the numerical simulations, lightning channel's features are examined by estimating the Fractal dimensions of lightning channels of still pictures. The average estimated Fractal dimensions is about 1.2, and the estimated Fractal dimension is used to evaluate the numerically simulated results. Through this study the Fractal stepped leader model is completely established.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (20 results)

All Other

All Publications (20 results)

  • [Publications] 河崎 善一郎他: "Fractal Model for the Leader of Lightning" Research letter on Atmospheric Electricity. 9. 63-71 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 河崎 善一郎他: "Calculations of Lightning Return Stroke Electric Fields" Research letter on Atmospheric Electricity. 10. 69-79 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 竹内 利雄他: "大津における夏の雷雲レ-ダの観測結果(I)不規則な多重セル型雷雲" 気象学会誌 天気. 37. 45-50 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 竹内 利雄他: "大津における夏の雷雲レ-ダの観測結果(II)レ-ダによる落雷点予則" 気象学会誌 天気. 37. 51-53 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 河崎 善一郎他: "落雷電界波形長時間記録装置の開発と観測結果" 電学論誌(B). 111. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 勝野 泰他: "雷放電路は,フラクタルであるか?" 電学論誌(A). 111. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Z-I. Kawasaki et al.: ""Fractal Model for the Leader of Lightning"" Research Letters on Atmospheric Electricity. 9. 63-71 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Z-I. Kawasaki et al.: ""Calculations of Lightning Return Stroke Electric Fields"" Research Letters on Atmospheric Electricity. 10. 69-79 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Z-I. Kawasaki et al.: ""Design of the Transient Memory of Extremely Large Size for Electric Field Changes due to the Lightning Discharge and Observation Results during Summer and Winter Thunderstorms"" Trans. IEE Japan (B). 111.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Katuno et al.: ""Dose the Lightning Channel show the Fractal?"" Trans. IEE Japan (A). 111.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 河崎 善一郎: "Fractal model for the leader of Lightning" Research letters of Atmospheric Electricity. 9. 63-71 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] 竹内 利雄: "大津における夏の雷雲のレ-ダ観測結果(I)不規測な多重セル型雷雲" 天気. 36. 45-50 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 竹内 利雄: "大津における夏の雷雲のレ-ダ観測結果(II)レ-ダによる落雷点の予測" 天気. 36. 51-53 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 竹内 利雄: "大津における夏の雷雲のレ-ダ-観測結果(III)巨大セル型雷雲" 天気. 36. 57-60 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 河崎 善一郎: "Calculations of lightning return stroke electric feelds" Research letters of Atmosphelic Electricity. 10. (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 勝野 泰: "雷放電路はフラクタルか?" 電気学会論文誌(A).

    • Related Report
      1990 Annual Research Report
  • [Publications] 河崎善一郎: "Fractal Model for the leader of lightning" Research Letter on Atmospheric Electricity. 9. 63-71 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 河崎善一郎: "Fractal stepped leader model and space charge" Journal of Geophysical Research.

    • Related Report
      1989 Annual Research Report
  • [Publications] 竹内利雄: "大津における夏の雷雲のレ-ダ観測結果(I)" 天気. 37. 45-50 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] 竹内利雄: "大津における夏の雷雲のレ-ダ観測結果(II)" 天気. 37. 51-54 (1990)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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