Abstract
Secondary rainbands in tropical cyclone are relatively transient compared with the quasi-stationary principle rainbands. To have a better understanding on their convective structure, a cloud-resolving scale numerical simulation of the super typhoon Jangmi (2008) was performed. The results suggest that the convections in secondary rainbands have some distinctive features that may not be seen in other types of rainbands in tropical cyclone. First, they have a front-like structure and are triggered to form above the boundary layer by the convergence of the above-boundary outflow from the inner side (warmer) and the descending inflow (colder) from the outer side. These elevated convections can be further confirmed by the three-dimensional backward trajectory calculations. Second, due to the release in baroclinic energy, the lower portion of the mid-level inflow from outside may penetrate into the bottom of the convection tower and may help accelerate the boundary layer inflow in the inner side. Third, the local maximum tangential wind is concentrated in the updraft region, with a lower portion which is dipping inward. Tangential wind budget analysis also suggests that the maxima are mainly contributed by the updraft advection, and can be advected cyclonically downstream by the tangential advection.
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References
Abarca SF, Montgomery MT (2013) Essential dynamics of secondary eyewall formation. J Atmos Sci 70:3216–3230. https://doi.org/10.1175/JAS-D-12-0318.1
Akter N, Tsuboki K (2012) Numerical simulation of cyclone Sidr using a cloud-resolving model: characteristics and formation process of an outer rainband. Mon Weather Rev 140:789–810. https://doi.org/10.1175/2011MWR3643.1
Barnes GM, Stossmeister GJ (1986) The structure and decay of a rainband in hurricane Irene (1981). Mon Weather Rev 114:2590–2601. https://doi.org/10.1175/1520-0493(1986)114<2590:TSADOA>2.0.Co;2
Barnes GM, Zipser EJ, Jorgensen D, Marks F (1983) Mesoscale and convective structure of a hurricane rainband. J Atmos Sci 40:2125–2137. https://doi.org/10.1175/1520-0469(1983)040<2125:MACSOA>2.0.Co;2
Barnes GM, Gamache JF, Lemone MA, Stossmeister GJ (1991) A convective cell in a hurricane rainband. Mon Weather Rev 119:776–794. https://doi.org/10.1175/1520-0493(1991)119<0776:ACCIAH>2.0.Co;2
Bogner PB, Barnes GM, Franklin JL (2000) Conditional instability and shear for six hurricanes over the Atlantic Ocean. Weather Forecast 15:192–207. https://doi.org/10.1175/1520-0434(2000)015<0192:Ciasfs>2.0.Co;2
Chen YS, Yau MK (2001) Spiral bands in a simulated hurricane. Part I: vortex Rossby wave verification. J Atmos Sci 58:2128–2145. https://doi.org/10.1175/1520-0469(2001)058<2128:SBIASH>2.0.Co;2
Cione JJ, Black PG, Houston SH (2000) Surface observations in the hurricane environment. Mon Weather Rev 128:1550–1561. https://doi.org/10.1175/1520-0493(2000)128<1550:SOITHE>2.0.Co;2
Colman BR (1990a) Thunderstorms above frontal surfaces in environments without positive CAPE.1. A climatology. Mon Weather Rev 118:1103–1121. https://doi.org/10.1175/1520-0493(1990)118<1103:TAFSIE>2.0.Co;2
Colman BR (1990b) Thunderstorms above frontal surfaces in environments without positive CAPE.2. Organization and instability mechanisms. Mon Weather Rev 118:1123–1144. https://doi.org/10.1175/1520-0493(1990)118<1103:TAFSIE>2.0.Co;2
Corbosiero KL, Molinari J, Aiyyer AR, Black ML (2006) The structure and evolution of hurricane Elena (1985). Part II: convective asymmetries and evidence for vortex Rossby waves. Mon Weather Rev 134:3073–3091. https://doi.org/10.1175/MWR3250.1
Corfidi SF, Corfidi SJ, Schultz DM (2008) Elevated convection and castellanus: ambiguities, significance, and questions. Weather Forecast 23:1280–1303. https://doi.org/10.1175/2008WAF2222118.1
Didlake AC, Houze RA (2009) Convective-scale downdrafts in the principal rainband of hurricane Katrina (2005). Mon Weather Rev 137:3269–3293. https://doi.org/10.1175/2009MWR2827.1
Didlake AC, Houze RA (2011) Kinematics of the secondary eyewall observed in hurricane Rita (2005). J Atmos Sci 68:1620–1636. https://doi.org/10.1175/2011JAS3715.1
Didlake AC, Houze RA (2013a) Convective-scale variations in the inner-core rainbands of a tropical cyclone. J Atmos Sci 70:504–523. https://doi.org/10.1175/JAS-D-12-0134.1
Didlake AC, Houze RA (2013b) Dynamics of the stratiform sector of a tropical cyclone rainband. J Atmos Sci 70:1891–1911. https://doi.org/10.1175/JAS-D-12-0245.1
Dudhia J (1989) Numerical study of convection observed during the winter monsoon experiment using a mesoscale two-dimensional model. J Atmos Sci 46:3077–3107. https://doi.org/10.1175/1520-0469(1989)046<3077:NSOCOD>2.0.Co;2
Dudhia J, Hong SY, Kim KS (2008) A new method for representing mixed-phase particle fall speeds in Bulk microphysics parameterizations. J Meteorol Soc Jpn 86A:33–44. https://doi.org/10.2151/JMSJ.86A.33
Dvorak VF (1975) Tropical cyclone intensity analysis and forecasting from satellite imagery. Mon Weather Rev 103:420–430. https://doi.org/10.1175/1520-0493(1975)103<0420:TCIAAF>2.0.Co;2
Gall R, Tuttle J, Hildebrand P (1998) Small-scale spiral bands observed in hurricanes Andrew, Hugo, and Erin. Mon Weather Rev 126:1749–1766. https://doi.org/10.1175/1520-0493(1998)126%3C1749:SSSBOI%3E2.0.CO;2
Guinn TA, Schubert WH (1993) Hurricane spiral bands. J Atmos Sci 50:3380–3403. https://doi.org/10.1175/1520-0469(1993)050<3380:HSB>2.0.CO;2
Hall JD, Xue M, Ran LK, Leslie LM (2013) High-resolution modeling of typhoon Morakot (2009): vortex Rossby waves and their role in extreme precipitation over Taiwan. J Atmos Sci 70:163–186. https://doi.org/10.1175/JAS-D-11-0338.1
Hence DA, Houze RA (2008) Kinematic structure of convective-scale elements in the rainbands of hurricanes Katrina and Rita (2005). J Geophys Res 113:D15108. https://doi.org/10.1029/2007JD009429
Hence DA, Houze RA (2012) Vertical structure of tropical cyclone rainbands as seen by the TRMM precipitation radar. J Atmos Sci 69:2644–2661. https://doi.org/10.1175/JAS-D-11-0323.1
Hong SY, Noh Y, Dudhia J (2006) A new vertical diffusion package with an explicit treatment of entrainment processes. Mon Weather Rev 134:2318–2341. https://doi.org/10.1175/MWR3199.1
Horgan KL, Schultz DM, Hales JE, Corfidi SF, Johns RH (2007) A five-year climatology of elevated severe convective storms in the united states east of the Rocky Mountains. Weather Forecast 22:1031–1044. https://doi.org/10.1175/WAF1032.1
Houze RA (2010) Clouds in tropical cyclones. Mon Weather Rev 138:293–344. https://doi.org/10.1175/2009MWR2989.1
Houze RA et al (2006) The hurricane rainband and intensity change experiment. Bull Am. Meteorol Soc 87:1503–1521. https://doi.org/10.1175/BAMS-87-11-1503
Huang YH, Montgomery MT, Wu CC (2012) Concentric eyewall formation in typhoon Sinlaku (2008). Part II: axisymmetric dynamical processes. J Atmos Sci 69:662–674. https://doi.org/10.1175/JAS-D-11-0114.1
Judt F, Chen SYS (2010) Convectively generated potential vorticity in rainbands and formation of the secondary eyewall in hurricane rita of 2005. J Atmos Sci 67:3581–3599. https://doi.org/10.1175/2010JAS3471.1
Kain JS (2004) The Kain-Fritsch convective parameterization: an update. J Appl Meteorol 43:170–181. https://doi.org/10.1175/1520-0450(2004)043<0170:TKCPAU>2.0.Co;2
Li QQ, Wang YQ (2012a) Formation and quasi-periodic behavior of outer spiral rainbands in a numerically simulated tropical cyclone. J Atmos Sci 69:997–1020. https://doi.org/10.1175/2011JAS3690.1
Li QQ, Wang YQ (2012b) A comparison of inner and outer spiral rainbands in a numerically simulated tropical cyclone. Mon Weather Rev 140:2782–2805. https://doi.org/10.1175/MWR-D-11-00237.1
Li QQ, Duan YH, Yu H, Fu G (2010) Finescale spiral rainbands modeled in a high-resolution simulation of typhoon rananim (2004). Adv Atmos Sci 27:685–704. https://doi.org/10.1007/s00376-009-9127-y
Li QQ, Wang YQ, Duan YH (2017) A numerical study of outer rainband formation in a sheared tropical cyclone. J Atmos Sci 74:203–227. https://doi.org/10.1175/JAS-D-16-0123.1
Liu YB, Zhang DL, Yau MK (1999) A multiscale numerical study of hurricane Andrew (1992). Part ii: kinematics and inner-core structures. Mon Weather Rev 127:2597–2616. https://doi.org/10.1175/1520-0493(1999)127<2597:Amnsoh>2.0.Co;2
May PT, Holland GJ (1999) The role of potential vorticity generation in tropical cyclone rainbands. J Atmos Sci 56:1224–1228. https://doi.org/10.1175/1520-0469(1999)056<1224:TROPVG>2.0.Co;2
Montgomery MT, Kallenbach RJ (1997) A theory for vortex rossby-waves and its application to spiral bands and intensity changes in hurricanes. Q J Roy Meteor Soc 123:435–465. https://doi.org/10.1002/qj.49712353810
Moon Y, Nolan DS (2010) The dynamic response of the hurricane wind field to spiral rainband heating. J Atmos Sci 67:1779–1805. https://doi.org/10.1175/2010JAS3171.1
Moon Y, Nolan DS (2015a) Spiral rainbands in a numerical simulation of hurricane Bill (2009). Part I: structures and comparisons to observations. J Atmos Sci 72:164–190. https://doi.org/10.1175/JAS-D-14-0058.1
Moon Y, Nolan DS (2015b) Spiral rainbands in a numerical simulation of hurricane Bill (2009). Part II: propagation of inner rainbands. J Atmos Sci 72:191–215. https://doi.org/10.1175/JAS-D-14-0056.1
Moore JT, Glass FH, Graves CE, Rochette SM, Singer MJ (2003) The environment of warm-season elevated thunderstorms associated with heavy rainfall over the central United States. Weather Forecast 18:861–878. https://doi.org/10.1175/1520-0434(2003)018<0861:TEOWET>2.0.Co;2
Nolan DS (2005) Instabilities in hurricane-like boundary layers. Dyn Atmos Oceans 40:209–236. https://doi.org/10.1016/j.dynatmoce.2005.03.002
Pendergrass AG, Willoughby HE (2009) Diabatically induced secondary flows in tropical cyclones. Part I: quasi-steady forcing. Mon Weather Rev 137:805–821. https://doi.org/10.1175/2008MWR2657.1
Powell MD (1990a) Boundary-layer structure and dynamics in outer hurricane rainbands.1. Mesoscale rainfall and kinematic structure. Mon Weather Rev 118:891–917. https://doi.org/10.1175/1520-0493(1990)118<0891:BLSADI>2.0.Co;2
Powell MD (1990b) Boundary-layer structure and dynamics in outer hurricane rainbands.2. Downdraft modification and mixed layer recovery. Mon Weather Rev 118:918–938. https://doi.org/10.1175/1520-0493(1990)118<0918:BLSADI>2.0.Co;2
Qiu X, Tan ZM (2013) The roles of asymmetric inflow forcing induced by outer rainbands in tropical cyclone secondary eyewall formation. J Atmos Sci 70:953–974. https://doi.org/10.1175/JAS-D-12-084.1
Qiu X, Tan ZM, Xiao QN (2010) The roles of vortex Rossby waves in hurricane secondary eyewall formation. Mon Weather Rev 138:2092–2109. https://doi.org/10.1175/2010MWR3161.1
Reasor PD, Montgomery MT, Marks FD, Gamache JF (2000) Low-wavenumber structure and evolution of the hurricane inner core observed by airborne dual-Doppler radar. Mon Weather Rev 128:1653–1680. https://doi.org/10.1175/1520-0493(2000)128<1653:LWSAEO>2.0.Co;2
Romine GS, Wilhelmson RB (2006) Finescale spiral band features within a numerical simulation of hurricane opal (1995). Mon Weather Rev 134:1121–1139. https://doi.org/10.1175/MWR3108.1
Rozoff CM, Schubert WH, McNoldy BD, Kossin JP (2006) Rapid filamentation zones in intense tropical cyclones. J Atmos Sci 63:325–340. https://doi.org/10.1175/JAS3595.1
Schultz DM, Schumacher PN (1999) The use and misuse of conditional symmetric instability. Mon Weather Rev 127:2709–2732. https://doi.org/10.1175/1520-0493(1999)127<2709:TUAMOC>2.0.Co;2
Sitkowski M, Kossin JP, Rozoff CM (2011) Intensity and structure changes during hurricane eyewall replacement cycles. Mon Weather Rev 139:3829–3847. https://doi.org/10.1175/MWR-D-11-00034.1
Skamarock, WC et al (2008) A description of the advanced research WRF version 3. NCAR Tech. Note NCAR/TN-475+STR. https://doi.org/10.5065/d68s4mvh
Smith RK, Montgomery MT, Van Sang N (2009) Tropical cyclone spin-up revisited. Q J R Meteorol Soc 135:1321–1335. https://doi.org/10.1002/QJ.428
Terwey WD, Montgomery MT (2008) Secondary eyewall formation in two idealized, full-physics modeled hurricanes. J Geophys Res Atmos 113:D12112. https://doi.org/10.1029/2007JD008897
Wang YQ (2002a) Vortex Rossby waves in a numerically simulated tropical cyclone. Part II: the role in tropical cyclone structure and intensity changes. J Atmos Sci 59:1239–1262. https://doi.org/10.1175/1520-0469(2002)059<1239:VRWIAN>2.0.CO;2
Wang YQ (2002b) Vortex Rossby waves in a numerically simulated tropical cyclone. Part I: overall structure, potential vorticity, and kinetic energy budgets. J Atmos Sci 59:1213–1238. https://doi.org/10.1175/1520-0469(2002)059<1213:VRWIAN>2.0.Co;2
Wang YQ (2008) Rapid filamentation zone in a numerically simulated tropical cyclone. J Atmos Sci 65:1158–1181. https://doi.org/10.1175/2007jas2426.1
Wang YQ (2009) How do outer spiral rainbands affect tropical cyclone structure and intensity? J Atmos Sci 66:1250–1273. https://doi.org/10.1175/2008JAS2737.1
Wang XB, Ma YM, Davidson NE (2013) Secondary eyewall formation and eyewall replacement cycles in a simulated hurricane: effect of the net radial force in the hurricane boundary layer. J Atmos Sci 70:1317–1341. https://doi.org/10.1175/JAS-D-12-017.1
Weber HC (1999) A numerical study of tropical-cyclone structure: quasi-stationary spiral bands. Q J R Meteorol Soc 125:811–836. https://doi.org/10.1256/SMSQJ.55503
Weisman ML, Klemp JB (1982) The dependence of numerically simulated convective storms on vertical wind shear and buoyancy. Mon Weather Rev 110:504–520. https://doi.org/10.1175/1520-0493(1982)110<0504:TDONSC>2.0.CO;2
Willoughby HE (1988) The dynamics of the tropical cyclone core. Aust Meteorol Mag 36:183–191
Willoughby HE, Marks FD, Feinberg RJ (1984) Stationary and moving convective bands in hurricanes. J Atmos Sci 41:3189–3211. https://doi.org/10.1175/1520-0469(1984)041<3189:SAMCBI>2.0.Co;2
Yau MK, Liu YB, Zhang DL, Chen YS (2004) A multiscale numerical study of hurricane Andrew (1992). Part VI: small-scale inner-core structures and wind streaks. Mon Weather Rev 132:1410–1433. https://doi.org/10.1175/1520-0493(2004)132<1410:AMNSOH>2.0.Co;2
Yu C-K, Cheng L-W (2008) Radar observations of intense orographic precipitation associated with typhoon Xangsane (2000). Mon Weather Rev 136:497–521. https://doi.org/10.1175/2007MWR2129.1
Zhang JA, Rogers RF, Nolan DS, Marks FD (2011) On the characteristic height scales of the hurricane boundary layer. Mon Weather Rev 139:2523–2535. https://doi.org/10.1175/MWR-D-10-05017.1
Acknowledgements
This work was jointly supported by the National Key Research and Development Program of China under Grants 2017YFC1501601, the National Natural Science Foundation of China (41461164008), the National Key Project for Basic Research (973 Project) under Grant 2015CB425803. Constructive comments and feedback from Fang Juan, Qiu Xin, Chu Kekuan, and Gu Jianfeng are greatly appreciated. Thanks to Qiu Xin and Guo Chuanjiang for help with setting up the simulation and maintaining the high-performance computing center at the School of Atmospheric Sciences, Nanjing University.
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Appendix
Appendix
1.1 Semi-automatic rainband tracking algorithm
In this study, the rainband axes were determined by the local reflectivity maximum in each radial cross-section. When the initial and end points of a rainband are given, the locations of the local reflectivity maxima can be successively determined by iterative calculations, with the first-guess positions equal to the results of the previous calculations. The detailed steps are as follows:
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1.
The reflectivity field at 2-km height is interpolated into a polar coordinate. The origin point is at the vertically weighted average of the vorticity centroid. The resolutions are 1 km and 0.5° in radial and azimuthal directions, respectively.
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2.
The initial and end positions of the rainband and the radial searching range are then determined artificially. In this study, the range was from 3–5 km inside to 5–10 km outside the rainband axis. If there is a gap between the convective cells or if two rainbands are too close to each other, extra anchor points are required.
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3.
Based on the first-guess position and the searching radius, the iterative calculations are repeated in each radial cross-section until the results convergence. This result is identified as the rainband axis in this radial cross-section, and will be considered as the first-guess position for the next radial cross-section (in cyclonic direction) calculation. This process continues until all the reflectivity maxima of the rainband have been determined. If there is an given anchor point, then the calculations will jump to the next radial cross-section.
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4.
To decrease the dithering in the rainband axis within the gaps (reflectivity maxima ≤ 40 dBZ) between convective cells, the axes lines were replaced by linear extrapolation from both ends.
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Xiao, J., Tan, ZM. & Chow, KC. Structure and formation of convection of secondary rainbands in a simulated typhoon Jangmi (2008). Meteorol Atmos Phys 131, 713–737 (2019). https://doi.org/10.1007/s00703-018-0599-0
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DOI: https://doi.org/10.1007/s00703-018-0599-0