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A torrential rainfall event occurred during 19-20 August 2010 on the western edge of the Sichuan Basin, China, causing serious debris flows. (Li et al., 2014) simulated this torrential rain event successfully using the Weather Research and Forecasting (WRF) model. The model was integrated from 0200 LST (Local Standard Time, UTC + 8 h) 18 August to 0800 LST 20 August 2010 (54 hours) using three one-way nesting domains with horizontal grid spacings of 27, 9, and 3 km, respectively. The grid points in the west-east and south-north directions were 268× 245, 583× 292, and 790× 610 for the three domains, respectively. The model domains used 30 vertical levels up to 50 hPa. In the 3-km resolution domain, the cumulus convective parameterization scheme was not activated and only the cloud microphysical parameterization scheme——the Milbrandt double-moment scheme (Milbrandt and Yau, 2005a, b)——was used. The Milbrandt scheme includes seven water species, i.e., water vapor (Q v), cloud water (Q c), rain water (Q r), cloud ice (Q i), snow (Q s), graupel (Q g), and hail (Q h). By using this bulk microphysics scheme, (Milbrandt et al., 2010) successfully reproduced an orographic precipitation event during IMPROVE-2 (the second Improvement of Microphysical Parameterization through Observational Verification Experiment). (Huang and Cui, 2015a) and (Huang et al., 2016a) utilized similar WRF model setups as (Li et al., 2014) to investigate the dominant cloud microphysical processes and cloud microphysical differences with precipitation intensity in the above torrential rain event. By using the 3D WRF-based precipitation budget equation, (Huang et al., 2016b) studied the physical processes and mechanisms associated with the heavy rainfall event. Referring to the aforementioned studies (Li et al., 2014; Huang and Cui, 2015a; Huang et al., 2016a, b), the simulation data were evaluated in the aspects of large-scale circulation, precipitation, and cloud structures by using the available data from reanalysis, automatic weather stations, rain gauges, and radar observation. The simulated radar composite reflectivity resembled the observed one, especially the distribution of relatively strong radar echo bands (Fig. 1). The observed radar echo covered a relatively smaller range because of the radar detection range and the terrain blocking of the Tibetan Plateau. Obvious convective and stratiform regions existed in this event, based on the radar reflectivity distribution (Fig. 1). Therefore, this torrential rain event was selected again to investigate the differences in precipitation budgets between convective and stratiform precipitation in this study. For more details of the model setups and verification, please refer to (Li et al., 2014), (Huang and Cui, 2015a), and Huang et al. (2016a, b). Simulation data in the 3-km resolution domain from 0800 LST 18 August to 0800 LST 20 August 2010 (48 hours, discarding the first six hours of data used for model spin-up) were used for statistical analysis in this study.Figure1. The (a, c) observed and (b, d) simulated radar composite reflectivity (color-shaded; units: dBZ). The times for (a, b) are 0302 and 0300 LST 19 August 2010, respectively. The times for (c, d) are 0902 and 0900 LST 19 August 2010, respectively. The red plus sign represents the location of Chengdu radar station. Black contours display the distance from Chengdu radar station.
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2.2. Convective and stratiform rainfall partitioning method
Based on differences in the nature of precipitation, rainfall can be classified roughly into convective and stratiform rain regions, which present different characteristics in dynamics, thermodynamics, and cloud microphysics. Therefore, it is worthwhile to investigate differences in precipitation budgets between convective and stratiform regions.There are several different convective-stratiform rainfall partitioning methods proposed in previous studies, such as methods based on surface rainfall rate (Churchill and Houze, 1984), radar reflectivity (Steiner et al., 1995), and vertical motion (Xu, 1995). The convective-stratiform rainfall partitioning method used in this study is a method based on radar reflectivity developed by (Steiner et al., 1995), with some of the thresholds (e.g., reflectivity factor thresholds, background radius) from (Feng et al., 2011). (Wu et al., 2013) used the same partitioning algorithm to investigate characteristics of precipitation, wind, and microphysical fields in convective and stratiform regions of two high precipitation squall line events, and demonstrated that the algorithm can reasonably identify the WRF-simulated fields in both convective and stratiform regions. The detailed partitioning steps are as follows:
Figure2. Distribution of different precipitation types from 1000 LST 18 to 0800 LST 20 August 2010 (2-h intervals). Blue shaded areas (SR): stratiform rain; red shaded areas (CC): convective rain; white shaded areas (NON): non-classified regions; gray shaded areas represent no radar reflectivity data at 3 km above sea level because of elevated terrain.
(1) Calculate the equivalent radar reflectivity factor (Z e) in units of dBZ by using the WRF model output data at 3 km above mean sea level (MSL), which is sufficiently below the 0°C level [~5.5 km above MSL; Figs. 7-9 in this paper; also see Fig. 4 in (Huang and Cui, 2015a) and Fig. 3 in (Huang et al., 2016a)] to minimize bright band contamination. Model grid points whose Z e are larger than 43 dBZ (Feng et al., 2011) are identified as convective cores directly.
Figure3. Area coverage (solid lines; units: %) and surface precipitation rate (dashed lines; units: mm h-1) averaged in convective (red line) and stratiform (blue line) regions from 0800 LST 18 to 0800 LST 20 August 2010.
Figure4. Contoured-frequency-with-altitude diagrams (CFADs) for vertical velocity in (a) convective and (b) stratiform regions within (28°-33°N, 100°-106°E) during 0800 LST 18 to 0800 LST 20 August 2010.
(2) If the difference between a grid's Z e and its background reflectivity factor [Z bg; averaged Z e with a 6-km radius centered on the grid (Feng et al., 2011)] exceeds its background intensity threshold value (determined by a function of Z bg), it is assigned as a convective grid.
(3) Through steps (1) and (2), convective centers are identified, and their surrounding grid points within a convective radius (determined by a function of Z bg) around the convective centers are also assigned as convective grids.
(4) As for the rest of the grid points that are not identified as convective grids, if their Z e exceeds 10 dBZ (Feng et al., 2011), they are designated as stratiform grids.
(5) Finally, the remaining grid points that are not identified as either convective or stratiform grids are assigned as non-classified grids, which are not included in the statistical range (since this study focuses on differences between convective and stratiform rainfall regions).
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2.3. 3D WRF-based precipitation budget equation
Following (Gao et al., 2005) and (Huang et al., 2016b), the surface precipitation rate (P S) can be simply expressed as \begin{eqnarray} P_{\rm S}=Q_{\rm WV}+ Q_{\rm CM} , \ \ (1) \end{eqnarray} where Q WV represents change rates of moisture-related processes (including the water vapor local change rate, moisture flux convergence rate, moisture diffusion rate, and surface evaporation rate) and Q CM represents change rates of cloud-related processes (including the local change rate, flux convergence rate, and diffusion rate of hydrometeors). Equation (1) can be interpreted as follows: Water vapor must be converted to cloud hydrometeors first before it can contribute to precipitation. If Q WV>P S (i.e., Q WV>0 and Q CM<0), it indicates that water vapor collected by moisture-related processes is not only used for precipitation but also to support cloud-related processes (e.g., increasing the content of cloud hydrometeors, cloud hydrometeor divergence, etc.). On the contrary, if Q WV<P S (i.e., Q WV>0 and Q CM>0), it implies that water vapor collected by moisture-related processes is not enough for surface precipitation, and the remaining amount (P S-Q WV) needs the supplement of cloud hydrometeors that already exist in the region. Thus, the surface precipitation budget equation, which connects the water vapor budget and cloud hydrometeor budget directly to the surface precipitation rate, is very helpful to quantitatively diagnose the role of each process in the final surface precipitation.The change rates of moisture-related processes (Q WV) can be further broken down into four components, i.e., \begin{equation} Q_{\rm WV}=Q_{\rm WVL}+Q_{\rm WVA}+Q_{\rm WVD}+Q_{\rm WVE} . \ \ (2)\end{equation} Similarly, the change rates of cloud-related processes (Q CM) include six components, i.e., \begin{equation} Q_{\rm CM}=Q_{\rm CLL}+Q_{\rm CLA}+Q_{\rm CLD}+Q_{\rm CIL}+Q_{\rm CIA}+ Q_{\rm CID} . \ \ (3)\end{equation}
All these terms are vertically integrated. The meaning of each term can be found in Table 1, and the specific expression of each term can be found in (Huang et al., 2016b). In this study, each term in the 3D WRF-based precipitation budget equation was output directly from the WRF model (Huang et al., 2016b).
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3.1. Distribution and evolution of convective and stratiform rain
Precipitation classification results during 1000 LST 18 to 0800 LST 20 August 2010 at 2-h intervals are shown in Fig. 2. During the early precipitation period (1000-2000 LST 18 August 2010), both convective and stratiform rainfall regions were relatively small and scattered. With the precipitation system development, convective regions (red areas; CC) began to consolidate, and were surrounded by stratiform regions (blue areas; SR). Then, both convective and stratiform areas were expanding. Convective areas began to decrease at 0600 LST 19 August, while stratiform rain remained widespread. During the latter precipitation period, stratiform rain coverage was also shrinking, and the precipitation system gradually weakened and dissipated.In order to investigate the evolution of convective and stratiform coverage and precipitation intensity more clearly, time series of area coverages and surface precipitation rates for convective and stratiform regions from 0800 LST 18 to 0800 LST 20 August 2010 are shown in Fig. 3. During the whole period (Fig. 3), the percentages of convective areal coverage against the area of the study domain (excluding grids with no radar data; gray areas in Fig. 2) were basically below 10%, while stratiform coverage was substantially larger than 10%, and its maximum could reach 45%. On average for the whole period, convective areal coverage was 5.48%, while stratiform coverage was 22.29%, which was around four times as much as the convective coverage (Fig. 3). As for averaged surface precipitation rates for convective and stratiform regions, rain rates in convective regions had obvious fluctuations with multiple peaks, and reached its maximum (~13 mm h-1) at 0100 LST 19 August, while rain rates in stratiform regions were relatively smoother and distinctly smaller, basically around 1 mm h-1 (Fig. 3). The time-averaged precipitation rate for stratiform rain was 1.07 mm h-1, while it was 7.22 mm h-1 for convective rain, which was ~ 5.75 times larger than that of stratiform region.
The characteristics described above show the typical differences between convective and stratiform rain (Wu et al., 2013). Convective rain has smaller areal coverage, a larger surface rain rate, and is faster changing, while stratiform rain has larger areal coverage, a smaller surface rain rate, and is more gently changing. This illustrates that the convective-stratiform classification result in this study is reasonable.
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3.2. Vertical velocity characteristics and updraft/ downdraft identification
To reveal the bulk vertical velocity characteristics, Contoured-Frequency-with-Altitude Diagrams (CFADs) (Yuter and Houze, 1995) of vertical velocity in convective and stratiform regions during 0800 LST 18 to 0800 LST 20 August 2010 are shown in Fig. 4. From Fig. 4, the updrafts in the convective region were much stronger than those in the stratiform region (almost all the vertical velocities of stratiform girds were smaller than 4 m s-1), and the maximum vertical ascending motion in the convective region was located at ~ 8 km above MSL. The downdrafts in the convective region were also a little stronger than those in the stratiform region, while their magnitudes were similar (Fig. 4). These distinguishable differences are also typical between convective and stratiform regions, demonstrating once again the convective-stratiform classification result in this study is reasonable. The distribution of CFADs of vertical velocities in convective and stratiform regions in this study is similar to that in reported in a previous study by (Wu et al., 2013).In previous studies (Houze, 1977, Houze, 1989; Zipser, 1977; Mrowiec et al., 2012), both updrafts and downdrafts have been found in convective and stratiform regions, which were also found in this study (Fig. 4). The updraft and downdraft regions may have different physical processes. Therefore, the convective and stratiform regions were further separated into updraft and downdraft regions. In this study, the vertically averaged mass flux was used to identify the updraft and downdraft columns in convective and stratiform regions, respectively. The vertically averaged mass flux is defined as $\overline{F_\rm M}=\int_{z_\rm s}^{z_\rm t}\rho wdz/(z_{\rm t}-z_{\rm s})$, where ρ is air density, w is vertical velocity, and z s and z t are the height above MSL of the model surface and top, respectively. The column where $\overline{F_\rm M}>0$ is identified as the updraft column, and the column where $\overline{F_\rm M}<0$ is identified as the downdraft column. To filter out the small and insignificant vertical motions that would dominate the mean conditions, only the data larger than the 10th percentile were used for statistical analysis in this study (Mrowiec et al., 2012).
Figure 5 shows vertical profiles of averaged vertical velocity in the convective updraft, convective downdraft, stratiform updraft, and stratiform downdraft regions during 0800 LST 18 to 0800 LST 20 August 2010. The averaged vertical velocity in the convective updraft region was much stronger than that in the stratiform updraft region. The averaged vertical velocity in the convective updraft region was larger than 0.15 m s-1 from ~2 to ~13 km, with a maximum over 0.5 m s-1 at ~4 km above MSL, while it was less than 0.15 m s-1 in the stratiform updraft region (Fig. 5). The magnitudes of downdrafts in the convective and stratiform regions were similar, but the downdraft in the convective region was a little stronger (weaker) than that in the stratiform region below (above) ~12 km (Fig. 5). The identification of updrafts and downdrafts in convective and stratiform regions is relatively reasonable (Mrowiec et al., 2012; Kumar et al., 2016).
Figure5. Vertical profiles of averaged vertical velocity in convective updraft (red solid curve), convective downdraft (red dashed curve), stratiform updraft (blue solid curve), and stratiform downdraft (blue dashed curve) regions within (28°-33°N, 100°-106°E) during 0800 LST 18 to 0800 LST 20 August 2010.
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3.3. Precipitation budget
In order to compare the differences in precipitation budgets between convective and stratiform regions, the averaged P S, Q WV, Q CM, Q WVL, Q WVA, Q WVD, Q WVE, Q CLL, Q CLA, Q CLD, Q CIL, Q CIA, and Q CID in the updraft and downdraft regions of the convective and stratiform regions within (28°-33°N, 100°-106°E) during 0800 LST 18 to 0800 LST 20 August 2010 are shown in Fig. 6. The magnitudes of all these terms in the convective region were one order larger than those in the stratiform region (Fig. 6). In the convective region, the averaged precipitation rate (P S) could reach 9 and 3 mm h-1 in the updraft and downdraft regions, respectively (Fig. 6a). Plus, they were only 1.2 and 0.8 mm h-1 in the updrafts and downdrafts of the stratiform region, respectively (Fig. 6b). However, the main contribution terms to P S in the updraft or downdraft regions were similar between the convective and stratiform regions. In the convective or stratiform updraft regions, Q WV was larger than P S, and Q CM showed negative values (Fig. 6). This implies that, in updraft regions, precipitation mainly results from the combination of the positive contribution of Q WV and the small negative contribution of Q CM. In the convective or stratiform downdraft regions, Q WV was negative, and Q CM was positive and larger than P S (Fig. 6), indicating that Q CM is the contribution term to P S in downdraft regions.Figure6. Averaged P S, Q WV, Q CM, Q WVL, Q WVA, Q WVD, Q WVE, Q CLL, Q CLA, Q CLD, Q CIL, Q CIA, and Q CID in updrafts (red bar) and downdrafts (blue bar) of (a) convective and (b) stratiform regions within (28°-33°N, 100°-106°E) during 0800 LST 18 to 0800 LST 20 August 2010. Units: mm h-1.
Further analysis of each term within the Q WV showed that, in either convective or stratiform updraft regions, moisture flux convergence rates (Q WVA) played a dominant role in the change rate of moisture-related processes, which was the main reason that moisture-related processes contributed significantly to precipitation in the convective or stratiform updraft regions. Q WVA was much larger in the convective updraft region than in the stratiform updraft region (Fig. 6), because of the distinct differences in vertical ascending motions between them (Fig. 5). In convective or stratiform updraft regions, the water vapor local change rate made a negative contribution (Q WVL<0) to precipitation, corresponding to the effect of local atmospheric moistening processes (water vapor content increasing and the local atmosphere moistening) (Fig. 6). In convective or stratiform downdraft regions, Q WVA was negative (moisture flux divergence) and Q WVL was positive (water vapor content decreasing and the local atmosphere drying) with |Q WVA|>|Q WVL|, resulting in negative Q WV in downdraft regions. The Q WVA in downdraft regions was not so dominant as in updraft regions (Fig. 6), because of the differences in vertical velocity magnitudes between updraft and downdraft regions in the middle and lower troposphere (Fig. 5), where most water vapor exists. The surface evaporation rate (Q WVE) played positive roles in moisture supply in both updraft and downdraft regions, but their magnitudes were overall quite small. Therefore, the differences in the water vapor budget between updraft and downdraft regions in both convective and stratiform regions were mainly caused by the big differences in Q WVA.
The differences in cloud-related rates (Q CM) between the updraft and downdraft regions in the convective and stratiform regions were more complex compared with those of moisture-related rates (Fig. 6). The total cloud-related rates in both convective and stratiform updraft regions were negative (Q CM<0); however, there were some differences in the sub-terms of Q CM. All the sub-terms in the convective updraft region were negative, indicating that both liquid- and ice-phase cloud hydrometeors increased and diverged. In the stratiform updraft region, only Q CLL and Q CLA were negative, and the other sub-terms of Q CM were relatively small positive values, indicating that liquid-phase hydrometeors increased and divergence dominated. In convective or stratiform downdraft regions, Q CM and all its sub-terms were positive (Fig. 6). Q CLL dominated the hydrometeor budget in the convective downdraft region, indicating that the local change rate of liquid-phase hydrometeors (liquid-phase hydrometeors decreasing) is relatively important to the cloud budget and precipitation budget in this region. In the stratiform downdraft region, positive Q CLL, Q CLA, and Q CIL (ice-phase hydrometeors decreasing) were almost equivalently important to the cloud budget and precipitation budget (Fig. 6).
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3.4. Hydrometeor distribution and cloud microphysical processes
Though plenty of water vapor (same order of magnitude) existed in both the convective and stratiform regions (not shown), there were obvious differences in their cloud hydrometeors' vertical distributions (Fig. 7). There was much more cloud water, rain water, and graupel in the convective region (Figs. 7a and b), especially in the convective updraft region (Fig. 7a), than in the stratiform region (Figs. 7c and d). On the contrary, the contents of cloud ice and snow were a little larger in the stratiform than in the convective regions, especially the contents of snow (Fig. 7), consistent with (Wu et al., 2013). The vertical profiles of the dominant microphysical processes revealed in (Huang and Cui, 2015a) and (Huang et al., 2016a) are shown in Fig. 8. Water vapor condensation to cloud water (QVD vc), accretion of cloud water by rain (QCL cr), accretion of cloud water by graupel (QCL cg), and melting of graupel to rain (QML gr) were one order of magnitude stronger in the convective updraft region than in the stratiform updraft region, while melting of snow to rain (QML sr) was slightly stronger in the stratiform updraft/downdraft regions than in the convective updraft/downdraft regions (Fig. 8). Plenty of water vapor from the much stronger moisture flux convergence rate (Q WVA) in the convective updraft region (Fig. 6a) condensed into cloud water (QVD vc, Fig. 8a). QVD vc was also one of the main terms in the stratiform updraft region (Fig. 8c). However, in both the convective and stratiform downdraft regions the Q WVA was negative (Fig. 6) and the QVD vc was much weaker (Figs. 8b and d), which resulted in more cloud water in the convective updraft region than in other regions (Fig. 7). The two main pathways for rain water generation [$QVD_{\rm vc}\to\rm QCL_{\rm cr}$ and $QVD_{\rm vc}\to \rm QCL_{\rm cg}\to \rm QML_{\rm gr}$ (Huang and Cui, 2015a)] were both remarkable in the convective updraft region (Fig. 8a), but QML gr was dominant in the convective downdraft region (Fig. 8b). In stratiform regions (Figs. 8c and d), the melting processes (QML gr and QML sr, especially the latter) dominated the rain water generation, especially in the stratiform downdraft region (Fig. 8d).Figure7. Vertical profiles of averaged mixing ratios (units: 10-3 kg kg-1) of cloud water (Q c), rain water (Q r), cloud ice (Q i), snow (Q s), and graupel (Q g) in (a) convective updraft, (b) convective downdraft, (c) stratiform updraft, and (d) stratiform downdraft regions within (28°-33°N, 100°-106°E) during 0800 LST 18 to 0800 LST 20 August 2010. The horizontal dashed lines represent the height of 0°C.
Figure8. Vertical profiles of averaged microphysical conversion rates (water vapor condensation to cloud water: QVD vc; accretion of cloud water by rain to form rain: QCL cr; accretion of cloud water by graupel to form graupel: QCL cg; melting of graupel to rain: QML gr; melting of snow to rain: QML sr; units: 10-6 kg kg-1 s-1) in (a) convective updraft, (b) convective downdraft, (c) stratiform updraft, and (d) stratiform downdraft regions within (28°-33°N, 100°-106°E) during 0800 LST 18 to 0800 LST 20 August 2010. The horizontal dashed lines represent the height of 0°C. The vertical dashed lines represent 0 kg kg-1 s-1.
The microphysical processes with phase changes can heat the atmosphere with latent heat release or cool the atmosphere with latent heat absorption. The heating processes include condensation, congelation, deposition, freezing, etc., and the cooling processes include evaporation, melting, and sublimation. Figure 9 shows vertical profiles of the microphysical latent heating/cooling rates in the convective updraft, convective downdraft, stratiform updraft, and stratiform downdraft regions. The magnitude of the net latent heating rate in the convective updraft region was one order larger than those in the convective downdraft, stratiform updraft, and stratiform downdraft regions (Fig. 9). Owing to the distinct water vapor condensation in the convective updraft region (Fig. 8a), dominant condensation latent heat was released around the zero-layer (melting-layer) (positive LHRV in Fig. 9a), which is very important for the development of convective cloud systems as well as positive feedback to vertical upward motion. In the stratiform updraft region, latent heating mainly derived from condensation latent heating (positive LHRV) around the zero-layer and water vapor deposition heating (positive LHRS) above the zero-layer, which was partially balanced out by melting cooling (negative LHRF) just beneath the zero-layer (Fig. 9c). The latent heating/cooling profiles in the downdraft regions were more or less similar (Figs. 9b and d). In the downdraft regions, water vapor deposition heating (positive LHRS) dominated the net heating above the zero-layer, while both ice-phase hydrometeor melting cooling (negative LHRF) just beneath the zero-layer and rain water/cloud water evaporation cooling (negative LHRV) below the zero-layer played important roles in the net cooling there, and the latter was more distinct (Figs. 9b and d). Overall, there was strong net latent heating within almost the whole troposphere in the updraft regions, especially in the convective updraft region (Figs. 9a and c). In the downdraft regions, the net latent heating only existed above the zero-layer and the net latent cooling mainly existed beneath the zero-layer (Figs. 9b and d). The vertical distributions of latent heating/cooling rates were closely associated with those of vertical velocity (Fig. 5), indicating cloud development is closely related to the large-scale dynamics. These characteristics are similar to those reported in previous studies (Houze, 1997).
Figure9. Vertical profiles of averaged microphysical latent heating/cooling rates (latent heating/cooling rate of condensation/evaporation: LHRV; latent heating/cooling rate of freezing/melting: LHRF; latent heating/cooling rate of deposition/sublimation: LHRS; total latent heating/cooling rate: LHRT; units: 10-3 K s-1) averaged in (a) convective updraft, (b) convective downdraft, (c) stratiform updraft, and (d) stratiform downdraft regions within (28°-33°N, 100°-106°E) during 0800 LST 18 to 0800 LST 20 August 2010. The horizontal dashed lines represent the height of 0°C. The vertical dashed lines represent 0 K s-1.