1.Key Laboratory of Mesoscale Severe Weather (MOE), School of the Atmospheric Sciences, Nanjing University, 163 Xianlin Road, Nanjing 210046, China 2.Yubei Meteorological Office of Chongqing, Chongqing 401147, China 3.Chongqing Institute of Meteorological Sciences, Chongqing 401147, China Manuscript received: 2019-09-12 Manuscript revised: 2020-04-17 Manuscript accepted: 2020-04-22 Abstract:As a follow-up of a previously published article on the contribution of tropical waves, this study explores the evolution of the mid-tropospheric mesoscale cyclonic vortex (MV) during the formation of Typhoon Megi (2010) with a successful cloud-resolving simulation. It is found that the formation and intensification of the MV were related to the deep convection and subsequent stratiform precipitation, while the weakening of the MV was related to the shallow convection. Both the upward transport of vorticity related to the deep convection and the horizontal convergence associated with the stratiform precipitation contributed to the formation and intensification of the MV. Even though the latter was dominant, the former could not be ignored, especially in the early stage of the MV. The MV played dual roles in the formation of Megi. On the one hand, the formation and intensification of MV were primarily associated with the stratiform precipitation, which induced the low-level divergence inhibiting the spin-up of the near-surface cyclonic circulation. On the other hand, the coupled low-level cold core under the MV benefited the accumulation of the convective available potential energy (CAPE), which was favorable for the convective activity. A sensitivity experiment with the evaporative cooling turned off indicated that the development of the MV retarded the genesis process of Megi. Keywords: tropical cyclogenesis, mid-tropospheric cyclonic vortex, deep convection, stratiform precipitation 摘要:利用高精度数值模拟资料,本文分析了超强台风“鲇鱼”形成过程中中层涡旋的发展和演变。研究结果表明,中层涡旋的形成和发展与深对流和随后的层云有关,而其减弱则与浅对流的发展有关。层云产生的中层辐合和深对流引起的垂直方向上涡度输送都对中层涡旋的形成有着贡献。其中,前者起主要作用,但后者的作用也是不可忽略的,尤其是在中层涡旋发展的早期阶段。进一步的分析表明,中层涡旋的形成与发展对“鲇鱼”的形成具有双重影响。一方面,中层涡旋的形成伴随着明显的低层辐散,导致低层气旋性环流减弱;另一方面,与中层涡旋耦合的低层冷心加大了大气的不稳定,有利于对流的爆发。敏感性试验进一步表明,中层涡旋的发展对“鲇鱼”的形成过程有抑制作用。 关键词:热带气旋形成, 中层涡旋, 深对流, 层云降水
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3.1. Overview of the genesis process of Megi
In consistent with Gray (1998), Figs. 2a and d show that the pre-Megi disturbance experienced two episodes of deep convection separated by an intermediate one-day inactive period of little convection. The first episode of massive intense convection began from the model start to around 0600 UTC 9 October, which was associated with the passage of a tropical Kelvin wave (Fang and Zhang, 2016), while the second episode of deep convection started from about 0600 UTC 10 October and continued towards the end. Figures 2b-c and 2e-f further indicate that the distinct increase of lower-tropospheric vorticity mainly occurred in the second episode of deep convection, prior to which, i.e., in the interval between the first and second deep convection episode, the mid-tropospheric vorticity enhanced significantly. According to the variations of the convection and low- and mid-level vorticity described above, and for the convenience of ensuing discussions, the genesis process of Megi is roughly partitioned into three phases (with 0600 UTC 9 October and 0600 UTC 10 October subjectively chosen as the dividing points): (1) massive convective burst associated with the tropical Kelvin wave; (2) decaying convection and mid-level vorticity enhancement; and (3) deep convection reinvigoration, low-level vortex intensi?cation, and formation of Megi. Such a divide is consistent with that in Fang and Zhang (2016). Figure 3② displays the convection and low- and mid-tropospheric vorticity in the pre-Megi disturbance during the formation of Megi with time intervals of 12 h. At the beginning of the model integration (0600 UTC 8 October; Fig. 3a), a small PVA and two PVAs were presented in the lower and middle troposphere, respectively. After a short time of model spin-up, there was a convection burst in the pre-Megi disturbance and the low-level PVA enlarged while one more PVA appeared in the middle troposphere (stage 1; Fig. 3b). In the following 12 h, the low-level PVA shrank a little and its vorticity increased considerably, while the mid-level PVAs merged into a mesoscale vorticity anomaly (Fig. 3c). Afterwards, the deep convection and the low-level vorticity decayed gradually in the pre-Megi disturbance, while the mid-level mesoscale vorticity anomaly kept strengthening and developed into a well-defined mid-level mesoscale vortex, i.e., the MV, at about 1800 UTC 9 October (stage 2; Fig. 3d). As the convection became active again in the pre-Megi disturbance after 0600 UTC 10 October (stage 3; Fig. 3e), the low-level vorticity began to enhance significantly, while the MV weakened slightly (Figs. 3e and f). Meanwhile, the MV began to shift eastwards relative to the low-level vorticity under the impact of the westerly shear. The westerly shear also exerted some influences on the convection, as they tended to occur more frequently in the downshear region (Figs. 3e-g). In the following period of Megi’s genesis process (Figs. 3f-l), both the low-level PVA and MV persistently occupied the center area of the pre-Megi disturbance and exhibited fluctuating intensification. The fluctuation of the intensity of the MV can also be detected in Fig. 2c. After 0000 UTC 13 October, i.e., Megi’s genesis time, the low-level mesoscale vortex and MV began to couple together to form a monopole structure, though there still existed little displacement between the low-level vortex and MV due to the vertical wind shear (Fig. 3l). Figure3. The re-gridded relative vorticity at 1000 hPa (red contours; units: 10?5 s?1) and 600 hPa (blue contours; units: 10?5 s?1), the 1000?600-hPa-averaged vertical velocity (shading; units: m s?1), as well as the 1000-hPa winds (vectors) in the region centered at pre-Megi’s center with side length of ~1125 km. The contour intervals are 2 × 10?5 s?1 and dashed contours designate negative values. The dashed circles center at pre-Megi’s center with radius of 2°. The vector in the corner of each panel denotes the vertical wind shear between 200 and 850 hPa. The number below the vector represents the magnitude of the shear.
Figures 3e-l also show that the convection in the center area of the pre-Megi disturbance was particularly active at about 1800 UTC 10, 18 UTC 11, 18 UTC 12 and 18 UTC 13 October, while comparatively weak at about 0600 UTC 12 and 0600 UTC 13 October. Such a quasi-periodic oscillation of the convection can also be detected in Figs. 2a and d, and is more apparent in the time?height diagrams of model-derived frequency of convection top height③ and the mean vertical velocity averaged over the center area of the pre-Megi disturbance as shown in Fig. 4a, which shows that the convection, especially the deep convection, was characterized by diurnal variations in the pre-Megi disturbance after 0600 UTC 10 October. Such a characteristic has also been found in the formation of Hurricanes Karl (2010) and Matthew (2010) (Davis and Ahijevych, 2012), as well as TC Fay (2008) (Wang, 2014). Figure4. (a) Time?height diagrams of model-derived frequency of convection top height (shading) and mean vertical velocity (dashed contours are negative) averaged over the center area of pre-Megi’s disturbance. (b) As in (a) but for the vorticity (shading; units: 10?5 s?1) and divergence (dashed contours are negative). (c) As in (a) but for the temperature perturbation (shading; units: K) relative to the whole domain average, relative humidity (thick contours) and equivalent potential temperature (thin contours). The values of contours are ?3, ?2, ?1, 1, 2, 3, 4, 6, 8, and 10 cm s?1 in (a); ?3.8, ?2.8, ?1.8, ?0.8, 0, 0.8, 1.8, 3.8, 5.8, 7.8, 9.8, and 11.8 × 10?5 s?1 in (b); and 10, 20, 30, 40, 50, 60, 70, 75, 80, 84, 88, 90, and 95% in (c). The black dashed, blue, red, and purple thick contours denote the values of 60%, 84% 90%, and 95% in (c), respectively, and the values of dashed (solid) thin contours start from 340 K (344 K) with intervals of 1 K (2 K).
It is worth mentioning that the fluctuating growth of the MV mentioned before, which is more prominent in Fig. 4b, is different from that derived from the idealized simulation initialized by a radiative?convective equilibrium state perturbed by random signals, in which the MV strengthened persistently (Davis, 2015). Comparing Fig. 4a to Fig. 4b, the evolution of the MV was closely related to the convective activity in the pre-Megi disturbance, in that the maximum vorticity of the MV usually appeared after the deep convection. The evolution of the MV and its relationship with the convection in the pre-Megi disturbance are discussed in detail in the following section.
2 3.2. Formation and development of the MV -->
3.2. Formation and development of the MV
To understand the processes responsible for the evolution of the MV during the formation of Megi, the flux form of vorticity budget analysis was conducted at 600 hPa following Haynes and McIntyre (1987) and Wang et al. (2010a). The vorticity equation is written as where $ \omega $ is the vertical velocity in the pressure coordinate, p denotes pressure, k is the unit vector in the vertical direction, and $\eta $ is the vertical component of absolute vorticity, i.e., where u, v is the eastward and northward component of velocity, x, y is the distance in the eastward and northward direction, and ${{{V}}'}$ denotes disturbance-relative flow, i.e., where V and C is the earth-relative flow and the velocity of the disturbance. The term on the left-hand side of Eq. (1) is the tendency of the absolute vertical vorticity. The first and second terms on the right-hand side of Eq. (1) are referred to as the advective vorticity flux and the non-advective vorticity flux, respectively, following Tory and Montgomery (2008). The former is the divergence of the vorticity flux and consists of the horizontal advection of absolute vorticity and the stretching effect. The latter combines the vertical vorticity advection and the tilting effect. R in Eq. (1) represents the horizontal components of subgrid-scale terms. Since R generally yields a small contribution to the net vorticity tendency, it is ignored in the calculation, as done in Montgomery et al. (2006). Figure 5 displays the area-mean 600-hPa vorticity and its tendencies derived by applying Eq. (1) to the domain centered at the vorticity centroid of the MV with the radius of 200 km. During the spin-up period of the model, both the advective vorticity flux and non-advective flux terms in Eq. (1) were negative, and thus the vorticity in MV decreased a little bit. As the deep convection became active in the pre-Megi disturbance after 1800 UTC 8 October, the vorticity of MV began to increase, which was primarily induced by the convergence of horizontal vorticity flux (Figs. 4a and 5a). Although the vorticity tendency induced by the vertical vorticity advection was mostly offset by the tilting effect, it caused the non-advective flux term to be positive and contributed to the development of the MV (Fig. 5b), which indicates that the deep convection can also enhance the mid-level vorticity by transporting the low-level vorticity upwards. Figure5. (a) Results of the vorticity budget (units: 10?9 s?2) and vorticity (thick black solid line for 600 hPa; dashed line for 950 hPa; ordinate on the right; units: 10?5 s?1) averaged within a 200-km radius from the disturbance center at 600 hPa. (b) Vertical advection, tilting, and divergence of the non-advective vorticity flux (units: 10?9 s?2).
After about 0600 UTC 9 October, i.e., in stage 2, the deep convection decayed in the pre-Megi disturbance, while the stratiform precipitation developed gradually (Figs. 3c and 4a). Under the effect of the upper-level outflow of the deep convection and the moderate to strong vertical wind shear shown in Fig. 1c, the ice particles moved away from the deep convection region, and then descended and began to melt, inducing the stratiform precipitation (Houze, 1993). The evaporative cooling associated with the precipitation provided the negative buoyancy, leading to the evident downdrafts in the lower troposphere. Accordingly, marked subsidence emerged in the lower troposphere while the updraft shrank to the mid?upper levels in the pre-Megi disturbance (Fig. 4a). Corresponding to the downdraft, a cold core formed in the low levels (Fig. 4c). In addition, divergence gradually replaced convergence in the lower troposphere and evident convergence appeared in the mid-levels (Fig. 4b). These phenomena are usually observed in the stratiform precipitation region (Mapes and Houze, 1995), indicating that the stratiform precipitation became dominant in the pre-Megi disturbance in stage 2. Corresponding to the stratiform precipitation development, the vertical vorticity advection, and accordingly the non-advective flux term, weakened, while the horizontal convergence of vorticity flux enhanced considerably. Therefore, the MV strengthened rapidly after about 0600 UTC 9 October and reached maximum intensity at around 1800 UTC 9 October (Fig. 5a). From the above description, we can see that the formation and development of the MV primarily resulted from the marked mid-level convergence associated with the stratiform precipitation in the pre-Megi disturbance. In addition, the intense convection also transported the low-level vorticity upwards to facilitate the enhancement of the mid-level vorticity. It is worth noting that the variation of the mid-level vorticity was not synchronized to the low-level vorticity in the pre-Megi disturbance. Figures 4b and 5a indicate that, as the mid-level vorticity increased rapidly in the period from ~0600?1800 UTC 9 October, the low-level vorticity decreased considerably. At 1800 UTC 9 October, when the MV reached maximum intensity, the low-level vorticity was at its minimum and anticyclonic circulation appeared in the near-surface levels (Figs. 3d, 4b and 5a).
2 3.3. Thermodynamic changes associated with the formation of the MV -->
3.3. Thermodynamic changes associated with the formation of the MV
As the mid-level vorticity increased from about 1800 UTC 8 to 1800 UTC 9 October, the low-level thermodynamic characteristics below it also varied considerably (Figs. 4c and 6). From Fig. 4c, we can see that a distinct cold core developed in the lower troposphere below the MV at ~0000 UTC 9 October, about 6 h after the deep convection burst in the pre-Megi disturbance. In the framework of balanced dynamics, the cold core was coupled with the MV to satisfy the thermal wind relationship. However, the cold core weakened after ~0600 UTC 9 October and a warm core emerged in the lower troposphere below the MV. At the same time, the lower troposphere dried considerably below the MV (Fig. 4c and 6b). At around 1800 UTC 9 October when the mid-level vorticity reached the maximum, a warm and dry core appeared below the MV (Fig. 4c). To understand the thermodynamic variations below the MV, the potential temperature and moisture budgets were calculated using the following equations: Figure6. (a) Time series of 1000-hPa mean equivalent potential temperature (black; units: K), potential temperature (blue; units: K) and specific humidity (red; units: g kg?1) averaged over the region with 600-hPa re-gridded vorticity greater than 2 × 10?5 s?1 and radius less than 4° during the period from 0600 UTC 8 to 0000 UTC 11 October. (c) As in (a) but for the potential temperature tendency (black; units: 10?4 K s?1), and its components induced by vertical advection (blue), horizontal advection (green) of potential temperature, diabatic heating (red), as well as boundary-layer processes and turbulent diffusion and air?sea interaction (orange). (e) As in (c) except for the specific humidity tendency (units: 10?4 g kg?1 s?1), and its components induced by vertical advection (blue), horizontal advection (green) of specific humidity, phase transition of vapor (red), as well as boundary-layer processes and turbulent diffusion air?sea interaction (orange). (b, d, f) As in (a, c, e) but for the variables at 850 hPa.
where $ \theta $ and $ {q}_{\mathrm{v}} $ denote the potential temperature and water vapor mixing ratio, V and C are same as those in Eq. (3), w is the vertical velocity, $ {\dot{Q}}_{1} $ ($ {\dot{Q}}_{\mathrm{v}1} $) is the heating rate (moistening rate) related to diabatic heating (water phase transitions), and $ {\dot{Q}}_{2} $ ($ {\dot{Q}}_{\mathrm{v}2} $) is the heating rate (moistening rate) associated with the other physical processes except microphysics. $ {\dot{Q}}_{1} $ ($ {\dot{Q}}_{\mathrm{v}1} $) and $ {\dot{Q}}_{2} $ ($ {\dot{Q}}_{\mathrm{v}2} $) are derived from the model outputs directly. The local tendency term was computed from the model output with a time interval of 1 h. From Figs. 6c and d, we can see that the evaporative cooling made an important contribution to the decrease in potential temperature and the occurrence of negative potential temperature anomalies before 0600 UTC 9 October. After 0900 UTC 9 October, the near-surface cold advection and evaporative cooling reduced rapidly, and hence the potential temperature under the MV at 1000 hPa increased under the impact of surface enthalpy fluxes (Figs. 6a and c). Different from that at 1000 hPa, the increase in potential temperature at 850 hPa was primarily attributable to the adiabatic warming related to the remarkable descent dominant in the region below the MV (Figs. 5a-d and Fig. 6d). Along with the downward motion, the relatively dry air at higher levels was brought to the lower troposphere and contributed to the significant moisture reduction in the lower troposphere, especially at about 850 hPa, below the MV (Figs. 6e and f). As a result, the mean sounding in the pre-Megi disturbance manifested as an onion shape (Fig. 7a), indicating that the warm and dry core developed beneath the MV (Fig. 4c), which is usually related to the downdrafts in the sub-saturated environment as suggested by Zipser (1977). Figure7. Skew-T log-P vertical sounding averaged over the center area of pre-Megi’s disturbance. The temperature and dewpoint temperature sounding are denoted by the thick solid and cyan solid lines, respectively. The red dashed line delineates the lifted parcel’s ascent path.
After the first episode of deep convection and subsequent stratiform precipitation, a well-defined MV developed in the pre-Megi disturbance at around 1800 UTC 9 October. However, the MV was characterized by near-surface anticyclonic vorticity (Fig. 3d and Fig. 4b) and an onion-shaped sounding (Fig. 7a), both of which are unfavorable for deep moist convection and low-level vorticity enhancement. But with the dissipation of the stratiform precipitation, the shallow dry convection soon developed in the pre-Megi’s central area (Fig. 4a), corresponding to the mid-level divergence and thus the weakening of the MV (Figs. 4b and 5a). Due to the vertical advection effect associated with the convection, the potential temperature decreased and the moisture increased in the lower troposphere (Figs. 6b and d). After ~1800 UTC 9 October, the warm and dry core began to transform into a cold anomaly between 900 and 600 hPa below the weakening MV (Figs. 4c and 6b). The cold anomaly situated above the near-surface warm anomaly induced by the sea-surface fluxes enhanced the convective available potential energy (CAPE) (Figs. 4c, 6c, 7b and 8)④. Meanwhile, the convection inhibition (CIN) decreased due to the low-level humidification (Figs. 7 and 8). All these processes promoted the outbreak of the moist convection after ~0000 UTC 10 October. Figure8. Evolution of CAPE (black line; units: J kg?1) and CIN (red line with ordinate on the right; units: J kg?1) averaged over a 200-km radius of the disturbance center.
Figure 9④ illustrates the development and organization of the convection under the favorable condition in the period from 2300 UTC 9 October to 0600 UTC 10 October. At 2300 UTC 9 October, the MV was coupled with a negative potential temperature anomaly ($ {\theta }' $) in the lower troposphere with the minimum at about 850?750 hPa (Fig. 9d). Meanwhile, positive $ {\theta }' $ appeared in the near-surface under the effect of surface heat fluxes (Fig. 6c and Figs. 9a and d). Such stratification destabilized the atmosphere and thus favored the convective activity (Fig. 8). As a result, moist convection burst in the pre-Megi’s central area (Fig. 9b). The associated evaporative cooling led to the formation of the near-surface cold pool. From Fig. 9e, one can see the evident forced uplifts induced by the combined effect of the cold pool and the local vertical wind shear, which helped trigger the convection. This is in accordance with Davis (2015) and Wu and Fang (2019). Along with the convection outbreak, the near-surface cold pool enlarged and more convection burst on its downshear side (Figs. 9c and f). From the above discussion, we can see that the cold core related to the MV benefited the increase in CAPE, while the near-surface cold pool caused by the convection and the vertical wind shear played an important role in triggering and organizing the convection. As the convection continuously transported moisture upwards (Fig. 6f), the mid-troposphere was considerably humidified (Figs. 6b and 7c), which facilitated the massive deep intense convection burst after ~1200 UTC 10 October (Figs. 4a and c). Figure9. (a?c) $ {\theta }' $ (shading; units: K) at 1000 hPa, vertical wind shear (vectors) between 850 hPa and 200 hPa, relative vorticity (white lines; units: 10?5 s?1) at 600 hPa, and vertical velocity at 850 hPa (red lines; units: m s?1) in the region centered at pre-Megi’s center with side length of ~450 km at 2300 UTC 9 October, 0300 UTC 10 October, and 0600 UTC 10 October, respectively. The dashed circles center at pre-Megi’s center with the radius of 200 km. The values of vorticity and vertical velocity are 2, 4, 8, 12, and 16 × 10?5 s?1, and 0.3 and 0.4 m s?1, respectively, in (a?c). The black box in (a?c) outlines the cross section of (d?f). (d?f) Vertical cross section showing the $ {\theta }' $ (shading; units: K), wind vectors (vectors; units: m s?1), and vorticity (white lines; units: 10?5 s?1). Vertical velocity has been scaled by a factor of 10. The contour intervals are 20 × 10?5 s?1 starting from zero and negative values are ignored. The locations of the cross section appear as black boxes in (a?c).
2 3.4. Variations of the MV in the second episode of deep convection -->
3.4. Variations of the MV in the second episode of deep convection
From 0600 UTC 9 October, the deep convection in the pre-Megi disturbance was characterized by diurnal variations (Fig. 4a). Between the intervals of the deep convection, the vertical distribution of the vertical velocity, horizontal divergence, vertical vorticity, relative humidity and potential temperature perturbation shown in Fig. 4 indicate that stratiform precipitation occurred, albeit less evident than that in the period from 0600 to 1800 UTC 9 October. Correspondingly, the MV demonstrated fluctuating growth after 0600 UTC 10 October (Figs. 4b and 5). From 1200 UTC 10 to ~0000 UTC 11 October, the deep intense convection and stratiform precipitation occurred sequentially in the pre-Megi disturbance, and the MV intensified. In the following 12 h, the mid-level divergence of vorticity fluxes related to the shallow convection caused the MV to weaken. As the deep convection burst again after ~1200 UTC 11 October, the MV re-intensified. Due to the relatively weak shallow convection at around 0000 UTC 12 October, the MV did not exhibit evident weakening. After ~0000 UTC 12 October, as massive deep intense convection appeared almost at the same time as the shallow moist convection, and the amount of deep intense convection was much greater than that in the previous two episodes of convection (Fig. 4a), the advective vorticity flux term dominated the positive tendency of the mid-level vorticity while the contribution from the non-advective vorticity flux was almost close to zero and negligible. As a result, the mid-level vorticity increased sharply in terms of magnitude towards genesis. It is worth mentioning that such an increase was primarily attributable to the horizontal convergence of the vorticity fluxes, and the contribution of the non-advective flux term was trivial because the vertical vorticity advection was nearly offset by the tilting effect.