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The electrification within the thunderstorm, caused mainly by inductive and noninductive charging mechanism, can produce strong local electric field inside the thundercloud. Due to the resulting electric field force, the vertical velocity of the graupel and hail particles which are the main in-cloud charge carriers, would change. As a feedback, this variation could affect the original electrification and charge structure of the thunderstorm. In order to investigate such a feedback effect, a weather research forecasting (WRF) model coupled with explicit lightning physics including charging and discharge lightning scheme (hereafter WRF-Elec) is employed and modified in this study. We derive the formulas for calculating the mass-weighted mean terminal velocities of graupel and hail under the balance among gravity, resistance and electric field force. Then, the National Sever Storm Laboratory (NSSL) two-moment bulk microphysics scheme is modified by adding the calculating code with consideration of electric field force (EFF) acting on the fall speed of graupel and hail particles. Eventually, the two-coupled WRF-Elec is developed successfully.#br#Based on this modified WRF-Elec, sensitivity tests are conducted to quantitatively investigate the influences of EFF on the thunderstorm electrification and the corresponding charge structure in an idealized supercell case. The results show that during the rapid enhancement of the thunderstorm, the grid-scale mass-weighted mean fall speed of graupel and hail vary significantly in consideration of EFF, with the maximum values both exceeding 4 m/s, although this situation occurs within a local area and lasts a short time. The action of EFF tends to enhance the falling of graupel and weaken the falling of hail. The influences of EFF on those graupel and hail particles with smaller-size and lower number concentration are stronger, as determined by composite factors of the strength and polarity of electric field, the diameter and number concentration of graupel and hail, and their charge density and polarity as well. The adjustment of the terminal velocity of the graupel and hail in consideration of EFF, eventually results in increasing the rate of both inductive and noninductive charge separation, where the inductive charging is the much more significant one. This leads to a grid-scale total charge density variation of -0.6-1.2 nC/m3 and a redistribution of the charge structure in the thunderstorm, and correspondingly, an increase of the local vertical electric field by 5 kV/m, thus producing stronger lightning eventually. In addition, due to the effect of electric field force, the mass mixing ratio of four precipitation particles including graupel, hail, ice crystal and snow is changed in the ranges of -0.09-0.24, -0.16-0.04, -0.04-0.05, and -0.01-0.006 g/kg, respectively. Therefore, the electric field force in thunderstorm affects not only the electrification and charge structure, but also the microphysical process. Generally, the overall influence of EFF on electrification tends to be positive, and the feedback effect of EFF on the charge structure should not be neglected.
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Keywords:
- electric field force /
- charge structure /
- feedback effect /
- WRF-Elec model
[1] Takahashi T 1978 J. Atmos. Sci. 35 1536
[2] Saunders C P R, Keith W D, Mitzeva R P 1991 J. Geophys. Res. 96 11007
[3] Li W L, Liu D X, Qie X S, Fu S M, Duan S, Chen Y C 2012 Acta Phys. Sin. 61 059202 (in Chinese) [李万莉, 刘冬霞, 郄秀书, 傅慎明, 段树, 陈羿辰 2012 物理学报 61 059202]
[4] Fierro A O, Mansell E R, MacGorman D R, Ziegler C L 2013 Mon. Wea. Rev. 141 2390
[5] Mansell E R, MacGorman D R, Ziegler C L, Straka J M 2005 J. Geophys. Res. 110 D12101
[6] Mansell E R, Ziegler C L, Bruning E C 2010 J. Atmos. Sci. 67 171
[7] Guo F X, Li Y, Huang Z C, Wang M F, Zeng F H, Lian C H, Mu Y J 2017 Sci. China: Earth Sci. 60 2204
[8] Tan Y B, Liang Z W, Shi Z, Zhu J R, Guo X F 2014 Sci. China: Earth Sci. 57 2125
[9] Xu L T, Zhang Y J, Liu H Y, Zheng D, Wang F 2016 Sci. China: Earth Sci. 59 1414
[10] Zhao Y, Qie X S, Kong X Z, Zhang G S, Zhang T, Yang J, Feng G L, Zhang Q L, Wang D F 2009 Acta Phys. Sin. 58 6616 (in Chinese) [赵阳, 郄秀书, 孔祥贞, 张广庶, 张彤, 杨静, 冯桂力, 张其林, 王东方 2009 物理学报 58 6616]
[11] Yang J, Qie X S, Wang J G, Zhao Y, Zhang Q L, Yuan T, Zhou Y J, Feng G L 2008 Acta Phys. Sin. 57 1968 (in Chinese) [杨静, 郄秀书, 王建国, 赵阳, 张其林, 袁铁, 周筠珺, 冯桂力 2008 物理学报 57 1968]
[12] MacGorman D R, Straka J M, Ziegler C L 2011 J. Appl. Meteor. 40 459
[13] Jiang R B, Qie X S, Wang C X, Yang J, Zhang Q L, Wang J F, Liu D X 2011 Acra Phys. Sin. 60 079201 (in Chinese) [蒋如斌, 郄秀书, 王彩霞, 杨静, 张其林, 王俊芳, 刘冬霞 2011 物理学报 60 079201]
[14] Cao D J, Qie X S, Duan S, Xuan Y J, Wang D F 2012 Acta Phys. Sin. 61 069202 (in Chinese) [曹冬杰, 郄秀书, 段树, 宣越建, 王东方 2012 物理学报 61 069202]
[15] Wang C X, Qie X S, Jiang R B, Yang J 2012 Acta Phys. Sin. 61 039203 (in Chinese) [王彩霞, 郄秀书, 蒋如斌, 杨静 2012 物理学报 61 039203]
[16] Wang J F, Qie X S, Lu H, Zhang J L, Yu X X, Shi F 2012 Acta Phys. Sin. 61 159202 (in Chinese) [王俊芳, 郄秀书, 卢红, 张吉龙, 于晓霞, 石峰 2012 物理学报 61 159202]
[17] Liu D X, Qie X S, Wang Z C, Wu X K, Pan L X 2013 Acta Phys. Sin. 62 219201 (in Chinese) [刘冬霞, 郄秀书, 王志超, 吴学珂, 潘伦湘 2013 物理学报 62 219201]
[18] Vonnegut B 1963 Meteorol. Monogr. 27 24
[19] Willams E R, Lhermitte R M 1983 J. Geophys. Res. 88 10984
[20] Latham J, Saunders C P R 1967 J. Glaciol. 6 505
[21] Saunders C P R, Wahab N M A 1975 J. Met. Soc. Japan 53 121
[22] Schlamp R J, Grover S N, Pruppacher H R, Hamielec A E 1976 J. Atmos. Sci. 33 1747
[23] Rawlings F 1982 Quart. J. Roy. Meteor. Soc. 108 779
[24] Sun A P, Zhang Y J, Yan M H 2004 Plateau Meteorol. 23 26 (in Chinese) [孙安平, 张义军, 言穆弘 2004 高原气象 23 26]
[25] Zhang Y J, Sun A P, Yan M H, Guo F X, Qie X S, Huang M Y 2004 Chin. J. Geophys. 47 25 (in Chinese) [张义军, 孙安平, 言穆弘, 郭凤霞, 郄秀书, 黄美元 2004 地球物理学报 47 25]
[26] Zhou Z M, Guo X L, Cui C G, Li X Y, Xu G R, Zhao Y C 2011 Acta Meteorol. Sin. 69 830 (in Chinese) [周志敏, 郭学良, 崔春光, 李兴宇, 徐桂荣, 赵玉春 2011 气象学报 69 830]
[27] Brooks I M, Saunders C P R, Mitzeva R P, Peck S L 1997 Atmos. Res. 43 277
[28] Saunders C P R, Peck S L 1998 J. Geophys. Res. 103 13949
[29] Dendy J E 1987 SIAM J. Sci. Stat. Comput. 8 673
[30] Dwyer J R 2003 Geophys. Res. Lett. 30 2055
[31] Ziegler C L, MacGorman D R 1994 J. Atmos. Sci. 51 833
[32] MacGorman D R, Strake J M, Ziegler C L 2001 J. Appl. Meteorol. 40 459
[33] Mansell E R, Ziegler C L 2013 J. Atmos. Sci. 70 2032
[34] Weisman M L, Klemp J B 1982 Mon. Wea. Rev. 110 504
[35] Connolly P J, Saunders C P R, Gallagher M W, Bower K N, Flynn M J, Choularton T W, Whiteway J, Lawson R P 2005 Quart. J. Roy. Meteor. Soc. 131 1695.
[36] Lawson R P, Baker B A, Pilson B L 2003 30th International Symposium on Remote Sensing of Environment Honolulu, Hawaii, November 10-14, 2003 p707
[37] Pedernera D A, Ávila E E 2018 J. Geophys. Res. 123 1244
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[1] Takahashi T 1978 J. Atmos. Sci. 35 1536
[2] Saunders C P R, Keith W D, Mitzeva R P 1991 J. Geophys. Res. 96 11007
[3] Li W L, Liu D X, Qie X S, Fu S M, Duan S, Chen Y C 2012 Acta Phys. Sin. 61 059202 (in Chinese) [李万莉, 刘冬霞, 郄秀书, 傅慎明, 段树, 陈羿辰 2012 物理学报 61 059202]
[4] Fierro A O, Mansell E R, MacGorman D R, Ziegler C L 2013 Mon. Wea. Rev. 141 2390
[5] Mansell E R, MacGorman D R, Ziegler C L, Straka J M 2005 J. Geophys. Res. 110 D12101
[6] Mansell E R, Ziegler C L, Bruning E C 2010 J. Atmos. Sci. 67 171
[7] Guo F X, Li Y, Huang Z C, Wang M F, Zeng F H, Lian C H, Mu Y J 2017 Sci. China: Earth Sci. 60 2204
[8] Tan Y B, Liang Z W, Shi Z, Zhu J R, Guo X F 2014 Sci. China: Earth Sci. 57 2125
[9] Xu L T, Zhang Y J, Liu H Y, Zheng D, Wang F 2016 Sci. China: Earth Sci. 59 1414
[10] Zhao Y, Qie X S, Kong X Z, Zhang G S, Zhang T, Yang J, Feng G L, Zhang Q L, Wang D F 2009 Acta Phys. Sin. 58 6616 (in Chinese) [赵阳, 郄秀书, 孔祥贞, 张广庶, 张彤, 杨静, 冯桂力, 张其林, 王东方 2009 物理学报 58 6616]
[11] Yang J, Qie X S, Wang J G, Zhao Y, Zhang Q L, Yuan T, Zhou Y J, Feng G L 2008 Acta Phys. Sin. 57 1968 (in Chinese) [杨静, 郄秀书, 王建国, 赵阳, 张其林, 袁铁, 周筠珺, 冯桂力 2008 物理学报 57 1968]
[12] MacGorman D R, Straka J M, Ziegler C L 2011 J. Appl. Meteor. 40 459
[13] Jiang R B, Qie X S, Wang C X, Yang J, Zhang Q L, Wang J F, Liu D X 2011 Acra Phys. Sin. 60 079201 (in Chinese) [蒋如斌, 郄秀书, 王彩霞, 杨静, 张其林, 王俊芳, 刘冬霞 2011 物理学报 60 079201]
[14] Cao D J, Qie X S, Duan S, Xuan Y J, Wang D F 2012 Acta Phys. Sin. 61 069202 (in Chinese) [曹冬杰, 郄秀书, 段树, 宣越建, 王东方 2012 物理学报 61 069202]
[15] Wang C X, Qie X S, Jiang R B, Yang J 2012 Acta Phys. Sin. 61 039203 (in Chinese) [王彩霞, 郄秀书, 蒋如斌, 杨静 2012 物理学报 61 039203]
[16] Wang J F, Qie X S, Lu H, Zhang J L, Yu X X, Shi F 2012 Acta Phys. Sin. 61 159202 (in Chinese) [王俊芳, 郄秀书, 卢红, 张吉龙, 于晓霞, 石峰 2012 物理学报 61 159202]
[17] Liu D X, Qie X S, Wang Z C, Wu X K, Pan L X 2013 Acta Phys. Sin. 62 219201 (in Chinese) [刘冬霞, 郄秀书, 王志超, 吴学珂, 潘伦湘 2013 物理学报 62 219201]
[18] Vonnegut B 1963 Meteorol. Monogr. 27 24
[19] Willams E R, Lhermitte R M 1983 J. Geophys. Res. 88 10984
[20] Latham J, Saunders C P R 1967 J. Glaciol. 6 505
[21] Saunders C P R, Wahab N M A 1975 J. Met. Soc. Japan 53 121
[22] Schlamp R J, Grover S N, Pruppacher H R, Hamielec A E 1976 J. Atmos. Sci. 33 1747
[23] Rawlings F 1982 Quart. J. Roy. Meteor. Soc. 108 779
[24] Sun A P, Zhang Y J, Yan M H 2004 Plateau Meteorol. 23 26 (in Chinese) [孙安平, 张义军, 言穆弘 2004 高原气象 23 26]
[25] Zhang Y J, Sun A P, Yan M H, Guo F X, Qie X S, Huang M Y 2004 Chin. J. Geophys. 47 25 (in Chinese) [张义军, 孙安平, 言穆弘, 郭凤霞, 郄秀书, 黄美元 2004 地球物理学报 47 25]
[26] Zhou Z M, Guo X L, Cui C G, Li X Y, Xu G R, Zhao Y C 2011 Acta Meteorol. Sin. 69 830 (in Chinese) [周志敏, 郭学良, 崔春光, 李兴宇, 徐桂荣, 赵玉春 2011 气象学报 69 830]
[27] Brooks I M, Saunders C P R, Mitzeva R P, Peck S L 1997 Atmos. Res. 43 277
[28] Saunders C P R, Peck S L 1998 J. Geophys. Res. 103 13949
[29] Dendy J E 1987 SIAM J. Sci. Stat. Comput. 8 673
[30] Dwyer J R 2003 Geophys. Res. Lett. 30 2055
[31] Ziegler C L, MacGorman D R 1994 J. Atmos. Sci. 51 833
[32] MacGorman D R, Strake J M, Ziegler C L 2001 J. Appl. Meteorol. 40 459
[33] Mansell E R, Ziegler C L 2013 J. Atmos. Sci. 70 2032
[34] Weisman M L, Klemp J B 1982 Mon. Wea. Rev. 110 504
[35] Connolly P J, Saunders C P R, Gallagher M W, Bower K N, Flynn M J, Choularton T W, Whiteway J, Lawson R P 2005 Quart. J. Roy. Meteor. Soc. 131 1695.
[36] Lawson R P, Baker B A, Pilson B L 2003 30th International Symposium on Remote Sensing of Environment Honolulu, Hawaii, November 10-14, 2003 p707
[37] Pedernera D A, Ávila E E 2018 J. Geophys. Res. 123 1244
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