Liao Yihui, Lü Weitao, Qi Qi, et al. Simulation of various connecting patterns during the lightning connection process based on the stochastic lightning leader model. J Appl Meteor Sci, 2016, 27(3): 361-369. DOI:  10.11898/1001-7313.20160311.
Citation: Liao Yihui, Lü Weitao, Qi Qi, et al. Simulation of various connecting patterns during the lightning connection process based on the stochastic lightning leader model. J Appl Meteor Sci, 2016, 27(3): 361-369. DOI:  10.11898/1001-7313.20160311.

Simulation of Various Connecting Patterns During the Lightning Connection Process Based on the Stochastic Lightning Leader Model

DOI: 10.11898/1001-7313.20160311
  • Received Date: 2015-11-02
  • Rev Recd Date: 2016-02-22
  • Publish Date: 2016-05-31
  • Considering the observed fact that most upward connecting leaders (UCL) does not branch during downward negative cloud-to-ground (CG) strikes, the simulation scheme of upward positive leaders is modified based on the existing two-dimensional (2D) stochastic lightning model. In addition, two connecting patterns, i.e., the tip-to-tip connecting and the tip-to-lateral connecting (lateral strike) between the downward leader and the UCL are simulated during the process in which lightning strikes tall buildings. Sensitivity experiments are carried out on the connecting process between leaders during the process of lightning striking a tall building by altering the horizontal distance between the initiation point of the downward leader (at a height of 1000 m) and the tall building. Results indicate that when the value of d increases from 0 to 700 m, the probability of a lateral strike for the UCL generally exhibits a trend of first increasing and then decreasing. As the value of d increases, the length of the UCL exhibits an increasing trend, and the ratio of the part of the UCL above the connecting point accounting for the entire length of the UCL upon the lateral strike generally exhibits an increasing trend. The probability of each grounding position is under the influence of the horizontal distance. The UCL initiating from the top of tall structures is longer than that initiating from the ground or the side surface of tall structures. Furthermore, tall structures with different heights are also investigated.
  • Fig. 1  Schematic diagram for the development of the leader

    Fig. 2  The building and the selection of initiation positions for the downward leader

    Fig. 3  Different connection behavior at different grounding points

    Fig. 4  Changes of grounding probability at different locations with d(a) and changes of the average length of UCL with d(b)

    Fig. 5  Simulation results of the tip-to-lateral connection behavior with different d

    Fig. 6  Changes of probability of tip-to-lateral connection behavior with d(a) and changes of R with d(b)

    (R is the average ratio of the length between connection point to the tip of UCL and the whole length of UCL)

    Table  1  Grounding probability at different locations

    d/m 地面/% 高建筑物侧面/% 高建筑物顶面/%
    0 0 0 100
    100 0 0 100
    200 0 1 99
    300 0 4 96
    400 4 23 74
    500 25 34 41
    600 54 31 15
    700 84 14 2
    DownLoad: Download CSV

    Table  2  The length of UCL initiating from different locations

    d/m 地面 建筑物侧面 建筑物顶面
    范围/m 平均值/m 范围/m 平均值/m 范围/m 平均值/m
    0 44~400 189
    100 58~376 187
    200 10~24 16 118~428 198
    300 24~30 16 134~464 211
    400 10~38 18 10~44 18 104~516 245
    500 10~58 19 10~64 21 142~569 276
    600 10~68 18 10~77 20 157~519 296
    700 10~72 18 10~58 16 197~494 317
    DownLoad: Download CSV

    Table  3  The length of UCL initiating from the top of the tall structure

    d/m 头部连接的UCL 受侧击的UCL
    范围/m 平均值/m 范围/m 平均值/m
    0 44~288 183 74~400 199
    100 58~356 179 118~376 198
    200 128~428 191 118~390 207
    300 134~373 190 134~464 229
    400 104~516 239 132~436 251
    500 148~508 265 142~569 285
    600 157~490 285 187~519 306
    700 197~494 307 188~450 320
    DownLoad: Download CSV

    Table  4  Simulation results of tip-to-lateral connection as the value of d changes

    d/m Nt Nl P/% R Lu/m Lc/m
    0 400 136 35 0.13 199 27
    100 400 165 41 0.17 198 35
    200 396 175 44 0.18 207 42
    300 384 203 53 0.26 229 66
    400 295 149 51 0.26 251 71
    500 165 95 58 0.34 285 101
    600 59 31 53 0.37 306 110
    700 7 2 29 0.49 320 156
      注:Nt为接地点在建筑物顶面的次数,Nl为UCL受侧击的次数,P为UCL受侧击的概率, R为UCL连接点以上的长度与UCL总长度比值的平均值,Lu为UCL平均长度,Lc为连接点到UCL头部的长度。
    DownLoad: Download CSV
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    • Received : 2015-11-02
    • Accepted : 2016-02-22
    • Published : 2016-05-31

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