CLOUD BANDING AND WINDS IN INTENSE EUROPEAN CYCLONES Results from the DIAMET Project

The combination of new aircraft measurements and high-resolution modeling reveal finescale wind structure in an intense extratropical windstorm.

xtratropical cyclones approaching western Europe along the North Atlantic storm track are a major cause of damaging winds and heavy precipitation. A particular problem in forecasting these cyclones is that the highest-impact weather within them arises from mesoscale structures such as fronts and bands of strong winds. These structures are influenced by diabatic processes (those that add or remove heat from the air) such as latent heating and cooling associated with phase changes of water, fluxes of heat and moisture from the Earth's surface, and radiative f lux convergence. Key elements in diabatic processes are turbulence, convection, and cloud physics-small-scale phenomena that cannot be represented explicitly in numerical weather prediction models. They must therefore be parameterized, introducing a source of systematic uncertainty in the models. Detailed observations of real events are needed to test the models and ultimately to improve the parameterization of small-scale processes.
Here we report on initial results from the Diabatic Influences on Mesoscale Structures in Extratropical Storms (DIAMET) project, which aims to improve our understanding and predictions of mesoscale structures within extratropical cyclones by means of field measurements, high-resolution modeling, and improved design of ensemble forecasting and data assimilation systems. The modeling component of the project includes evaluation of the Met Office's high-resolution ensemble forecasts, the probability forecasts of mesoscale structures, the stochastic physics scheme used in the ensemble, and the ability of the model to represent the structures that bring high-impact weather. This paper provides an overall introduction to DIAMET with particular emphasis on the field measurements and the way these are used to test and improve models.
The winter campaign of DIAMET was conducted during a period of particularly intense storm activity over the North Atlantic. As an example of an intense storm and to illustrate the scientific approach used in DIAMET, we present a more detailed study of Extratropical Cyclone Friedhelm on 8 December 2011. The strongest low-level winds in this storm occurred on its southern and southwestern flanks. We concentrate in this paper on the prominent cloud banding often found in the southern quadrant of intense storms (Neiman et al. 1993;Grønås 1995; (Browning and Field 2004), where our observations reveal a relation between the wind strength and the cloud bands. We show that a similar relation appears in an experimental trial of the Met Office's highresolution ensemble forecast system.

THE DIAMET PROJECT.
The DIAMET project is one of the three components of the U.K. Natural Environment Research Council's Storm Risk Mitigation Programme (www.bgs.ac.uk/stormrm/home .html) and is a collaboration between British academic groups and the Met Office. The main elements of the project, together with results published so far in part as a AMS Special Collection (http://journals.ametsoc. org/page/diamet),, can be summarized as follows: 1) using field measurements and detailed numerical modeling to improve understanding of key processes (Chagnon et al. 2013;Martínez-Alvarado et al. 2014;Norris et al. 2014); 2) performing critical assessments of the performance of parameterizations of convection (Martínez-Alvarado and Plant 2014), air-sea f luxes (Cook and Renfrew 2014), and microphysics Lloyd et al. 2014) in numerical weather prediction models; and 3) addressing fundamental aspects of predictability using ensembles, and improving data assimilation methods for better short-term forecasting ).
The scientific approach of DIAMET concentrates on the effect of diabatic processes on the distribution of potential vorticity (PV) and its consequences for the evolution of weather systems. PV combines the vertical stability of the atmosphere with the horizontal shear and rotation of the wind field and is materially conserved in the absence of diabatic and frictional processes. It is a local measure of circulation about a point and its distribution is fundamental to our understanding of Rossby waves and the evolution of cyclones (e.g., Hoskins et al. 1985). Cyclone development typically arises through interaction between a Rossby wave on the tropopause and large-scale horizontal waves in temperature near the ground, with the surface cyclone center positioned to the east of the upper-level PV maximum (trough). This process is well understood, but the effects of PV anomalies produced by diabatic processes are much less clear. It is possible to attribute diabatically generated PV anomalies to the processes that produce them in a forecast model (e.g., Chagnon et al. 2013), but these diagnostics need to be tested by comparison with observations. A main goal of DIAMET is to use detailed measurements of dynamics, cloud physics, and air-sea fluxes to calculate diabatic heating rates in cyclones and thereby evaluate how well the diabatic production and removal of PV anomalies are represented in models. Key scientific questions include the following: 1) How do latent heating and air-sea fluxes modify the mesoscale potential vorticity distribution in an extratropical cyclone? 2) How do such modifications affect the precipitation and wind fields and therefore the impact of the cyclone on society? 3) Do these modifications affect the overall development of the cyclone (and others downstream) or are they only important locally? 4) How sensitive are numerical forecasts to the parameterization of latent heating and air-sea fluxes? Can model error from these sources be quantified?
From September 2011 to August 2012, DIAMET conducted four field campaigns lasting several weeks each to examine cyclones around the United Kingdom and Ireland. The primary measurement platform was the BAe 146 aircraft of the U.K. Facility for Airborne Atmospheric Measurements (FAAM; www.faam.ac.uk/) carrying instrumentation to measure winds, thermodynamic parameters, microphysics, and chemical tracers. A summary of the relevant instrumentation for DIAMET is shown in Table 1. The FAAM aircraft can operate up to an altitude of 10 km with an endurance of around 5 h [see Renfrew et al. (2008) for more details and flight examples]. In several DIAMET cases, double flights were conducted, with a break for refueling midmission. For three of the four campaigns, the aircraft was based in Cranfield, England, north of London, but in the winter campaign of November-December 2011 it was based at Exeter, England, near the Met Office's headquarters (see Fig. 5 for locations described in the text). Ground-based measurements were also a crucial part of DIAMET: 3D precipitation radar measurements from the Chilbolton Facility for Atmospheric and Radio Research (Browning et al. 2007); precipitation maps from the Met Office's operational precipitation radar network (Harrison et al. 2009); continuous measurements from wind profilers, especially the U.K. Mesosphere-Stratosphere-Troposphere very high frequency (VHF) profiler at Aberystwyth in Wales (Vaughan 2002); and surface data from the Met Office's network of around 270 automatic weather stations (AWS). Fifty-five additional radiosonde launches were made from selected stations on intensive observation period (IOP) days.
There were 15 flying days (Table 2) covering 14 DIAMET IOPs (flights into the same meteorological system on successive days are grouped into the same IOP). Nine of these IOPs were in 2011 and five were in 2012, and all but one involved the FAAM aircraft. The exception, IOP 10, was declared a DIAMET IOP because of the passage of a mesoscale convective system over the Chilbolton radar that led to widespread f looding in the Severn Valley, the largest river catchment in the United Kingdom. Three flights are also listed from The Observing System Research and Predictability Experiment (THORPEX)-North Atlantic Waveguide and Downstream Impact Experiment (T-NAWDEX) pilot campaign in November 2009. They were conducted by the DIAMET team as a preliminary investigation, and have been analyzed as part of the DIAMET project (labeled TNP 1-3 in Table 2).

TH E N O RTH ATL A NTI C W E ATH E R REGIME OF EARLY WINTER 2011/12 .
T h e s e c o n d DI A M E T a i rc r a f t c a mp a i g n (24 November-14 December 2011) was characterized by an unusually strong zonal jet stream across the North Atlantic and a rapid succession of intense cyclones, many of which crossed northwest Europe. One way to characterize the large-scale weather pattern over the North Atlantic is to examine the North Atlantic Oscillation (NAO) index, a normalized measure of the pressure difference between Iceland and the Azores. Positive values of the NAO are associated with stormy weather over northwest Europe, with milder temperatures and greater precipitation than the negative phase. Daily NAO index values are provided by the National Centers for Environmental Prediction (NCEP)'s Climate Prediction Center of the National Oceanic and Atmospheric Administration A research project on storms presents an excellent opportunity for outreach activities, and in DIAMET we collaborated with an award-winning educational consultant, Heather Reid (a former broadcast meteorologist), to develop a package of educational resources for school children related to our key science aims. These included two short professionally filmed videos-Forecasting the Weather and Studying Severe Storms around the UK-as well as four sets of exercises comprising information for the pupils and activities or worksheets. Topics covered included change of state, latent heat, the electromagnetic spectrum, and using observational data. The videos and worksheets are available on the National Centre for Atmospheric Science project website (www .ncas.ac.uk/index.php/en/diamet-schools), and are being actively promoted via project partners such as the Royal Meteorological Society, the Institute of Physics, and Education Scotland.
The material is aimed at students aged 12-14 years taking science, in particular, physics. The topics were chosen to fit broadly into the secondary-school physics curriculum and provide alternative contexts for the "uses of physics" to the more common examples such as X-rays in medical physics or heating solid stearic acid to demonstrate latent heat. This topic choice was deliberate. First, the topics fit neatly with the project's focus on diabatic processes and the use of a research aircraft. Second, all too often weather and climate feature in geography rather than physics at school level; a physics background can be vital to access university teaching of these subjects and, more importantly, to develop the skills usually required for a career in the field.

EDUCATIONAL RESOURCES
(NOAA) for January 1950-June 2012 (www.cpc .ncep.noaa.gov/products/precip/CWlink/pna/nao .shtml). Remarkably, 30 November, 3 December, and 6 December 2011-all within the DIAMET campaign period-appear in the top 0.4% of daily values of this long time series (22,825 days). December 2011 had the highest monthly NAO index (2.52) of any December and the third highest for all months of the entire time series.
The zonal wind strength between 1 November 2011 and 31 January 2012 is shown in Fig. 1a together with the climatological mean and standard deviation for this time of year. The statistics are calculated from the average of zonal wind at 300 hPa across the North Atlantic (40°-60°N, 10°-60°W) obtained from 6-hourly Interim European Centre for Medium-Range Weather Forecasts Re-Analysis (ERA-Interim) data (Dee et al. 2011). The climatology was obtained from the entire ERA-Interim dataset 1979-2010 by calculating the mean and standard deviation of each calendar date across all years and then smoothing the resulting series with a 7-day running mean. The zonal wind was exceptionally strong during the DIAMET campaign with values more than one standard deviation above the climatological mean for most of the period and more than two standard deviations for a few days. Comparing the histogram of North Atlantic zonal wind compiled from data during the Table 1  21 days of the DIAMET campaign with that during the three-month period November 2011-January 2012 (Fig. 1b), and the corresponding histogram from all November-January periods in the ERA-Interim dataset, further underlines the anomalous conditions during this period. Between 22 November and 10 January, the Free University of Berlin named 29 significant cyclones affecting Europe as part of their Adopt-A-Vortex scheme, corresponding to one new storm forming every 1.7 days. All but one of these storms passed over or near the United Kingdom or affected the United Kingdom with their frontal systems. Many of the stronger storms are reflected by decreases in the average zonal wind across the North Atlantic. These decreases occur as the Rossby waves at tropopause level reach large amplitude and break, causing the jet stream to split, with weaker average flow in the 40°-60°N band. Decreases in jet stream strength (often leading to minima) were associated with the intense cyclonic storms: • Zafer (1 December, DIAMET IOP 6) was a smallscale intense low north of Scotland. • Friedhelm (7 and 8 December, IOP 8) was the explosively deepening cyclone discussed in section 4. • Patrick (25 December) and Robert (28 December) followed similar tracks across northern Scotland. • Ulli and Andrea (3-5 January) brought high winds to Scotland and northern England.
In contrast, the dips in the zonal wind to relatively low values on 18 and 19 December 2011 and around 12 January 2012 were associated with ridge building not linked to a preceding cyclone (Fig. 1a).
We now present a more detailed study of cyclone Friedhelm, the subject of DIAMET IOP 8.

D IA M ET I O P 8 -F LI G HT I NTO TH E CENTER OF EXTRATROPICAL CYCLONE
FRIEDHELM . The passage of Extratropical Cyclone Friedhelm resulted in considerable disruption to transport and some damage to infrastructure over the central belt of Scotland. Friedhelm started as a shallow wave on a trailing cold front over Newfoundland at 1200 UTC 6 December 2011. As it crossed the Atlantic, the storm crossed the axis of the polar jet stream and deepened spectacularly-44 hPa between midday on 7 December and midday on 8 December, easily qualifying as a meteorological bomb (Sanders and Gyakum 1980). Structurally, Friedhelm resembled a Shapiro-Keyser cyclone (Shapiro and Keyser 1990) with a frontal fracture (weakening of the northern part of the cold front near the warm front) followed by wrapping of cold air at low levels around the northern flank of a warmer cyclone center. By the time Friedhelm reached western Scotland early on 8 December, the storm was in its mature stage with a central pressure of 957 hPa (Fig. 2). A large separation between the warm sector and the cyclone center showed that the cyclone had occluded (Schultz and Vaughan 2011), with a bentback front corresponding to the mass of cloud curling westward around Scotland (Fig. 3a). Southwest of the cyclone center, bands of low cloud extended eastward toward Scotland from beneath the midlevel cloud deck. Corresponding banding was observed in light precipitation over the sea to the west of Scotland by the Met Office radar network (Fig. 3b). These bands (labeled A-D) moved eastsoutheastward across central Scotland. The storm continued to move eastward toward Scandinavia, with the strongest winds crossing to the east side of Scotland by early evening. The precipitation bands crossed Scotland with the storm and were especially prominent around 1800 UTC over central Scotland (Fig. 4a). The cyclone also wrapped up further with the strongest winds moving into the southern and then southeastern side of the low pressure center. Figure 4b shows the maximum wind gusts measured on 10-m masts at selected AWS sites across the northern United Kingdom during 8 December. The numbers are colored by the time of maximum gust to illustrate the eastward progression of the high winds associated with the storm. Maxima of around 30 m s -1 (67 mph) occur over a wide area of Scotland, notably in the highly populated region between Glasgow and Edinburgh. The previous day the Met Office had issued its first ever red alert for winds (warning the public to take action), allowing precautions to be taken, including the closure of schools, roads, and bridges in the threatened areas. Over some of the Scottish mountains, much higher winds were recorded-the highest being 74 m s -1 (165 mph) reported on the summit of Cairn Gorm (1237 m), around 100 km north-northwest of Leuchars.
The FAAM aircraft was tasked on this day with investigating the region of the strongest winds to the south and southwest of the cyclone center. Such winds are often associated with a cold conveyor belt, a low-level airstream that wraps around a cyclone as it develops (Carlson 1980). In addition, some Shapiro-Keyser cyclones develop sting jets-cores of very strong low-level winds associated with descending airstreams ahead of the midlevel cloud head  (Browning 2004;Clark et al. 2005). Indeed, evidence for such features during the passage of cyclone Ulli on 3 January 2012 was presented by Smart and Browning (2013). There have been other aircraft flights through intense extratropical cyclones; for example, Neiman and Shapiro (1993) and Neiman et al. (1993) presented observations of an extremely rapidly developing cyclone [Experiment on Rapidly Intensifying Cyclones over the Atlantic (ERICA) IOP 4] that had a similar bent-back frontal structure to Friedhelm and prominent rainbands in the same sector of the storm (Neiman et al. 1993, their Fig. 19). DIAMET was able to build on these results by measuring the wind structure associated with precipitation bands together with their cloud microphysical properties.
The aircraft took off at 1048 UTC from Exeter, timed to intercept the cyclone center before it had traversed Scotland. Baker et al. (2013) described the thrill of the flight and showed photographs taken from within the cyclone center looking across the curving cloud bands, as well as the sea state in the high-wind region. The first leg of the flight, at an altitude of 7 km, launched 10 dropsondes along the west coast of Scotland to measure the thermodynamic and wind structure along a transect through the storm to the north of the cold front and reached the cyclone center at 1234 UTC (Fig. 5). Figure 6 shows relative humidity with respect to ice (RHi), potential temperature, and horizontal winds along the dropsonde section. The sloping temperature gradient, between 2 and 6 km in the southern part of the section, separated dry air above it from the moister air below (northwest of the cold front). The wind-speed cross section shows the upperlevel jet stream between 54° and 55.5°N, exceeding 60 m s -1 at 6-km altitude above a layer of pronounced wind shear.
A second, weaker, temperature gradient is shown below 4 km, north of 57°N. Here, temperature increased with latitude (Fig. 6), associated with the bent-back warm front that had wrapped around to the south side of the cyclone. The pool of warmer air at low levels near the core of this kind of cyclone is called a seclusion (Shapiro and Keyser 1990). The low-level wind maximum that was the focus of this mission lay on the southern flank of this front. An L-shaped wind maximum extended from 4 km down to 1.5 km at 56.3°N, with an extension northward to 57.1°N below 2.5 km; a low-level zonal wind maximum is expected from approximate thermal wind balance with the poleward increase in potential temperature. Martínez-Alvarado et al. (2014) found that the air entering the strong wind region south of Friedhelm's center comprised three airstreams with distinct trajectory origins and observed tracer composition. Two airstreams were associated with the cold conveyor belt-the air was cloudy and back trajectories stayed at low levels, wrapping around the cyclone core-whereas the third resembled a sting jet that left the tip of the cloud head to the west of the cyclone and descended toward the east-southeast. In Fig. 6, the strongest winds, measured by sondes 5-7, coincided with relative humidity values exceeding 80% beneath the sloping isentropes, suggesting that the cold conveyor belt dominated the low-level winds along this section.
A f ter exec ut i ng t he second dropsonde section to the southwest of the cyclone center ( Fig. 5; see Martínez-Alvarado et al. 2014 for cross section), the aircraft descended to make in situ measurements at lower altitudes. Of particular interest for this paper are the low-level legs to the west of Scotland at around  1500 UTC, through the region of the strongest low-level winds, which are discussed in the next section. Further low-level work was conducted after refueling in Teesside, England, by which time the strongest winds were located to the east of Scotland. Here the relative humidity (with respect to ice) of the fastest-moving air was around 42%, suggesting a descent of around 150 hPa from initial saturation. Turbulent mixing was intense at low levels on this f light-the turbulent kinetic energy, calculated from the 32-Hz turbulence probe, was 7-10 m 2 s -2and the aircraft became coated in sea salt even when flying at 500 m above sea level. [Observations of turbulence throughout the DIAMET experiment are reported in Cook and Renfrew (2014).] On this boundary layer leg (lasting 30 min), the gradient in potential temperature was almost uniform with values decreasing toward the south, whereas wind speed increased to an average of 47 m s -1 at the southern end (not shown). Therefore, the aircraft was able to make detailed measurements of the wind field and thermodynamic variables in the region of maximum wind speed to the south of the cyclone center, both west and east of Scotland.

BANDING IN CLOUD, PRECIPITATION, AND WINDS ON THE SOUTHERN FLANK OF FRIEDHELM.
We now turn to the question of how the cloud and precipitation bands (Fig. 3) were linked to the severe surface winds (Fig. 4b), concentrating on the low-level legs measured around 1500 UTC as the aircraft flew from Islay, Scotland, northward toward Tiree, Scotland, in a region of banded precipitation within the cold conveyor belt airstream of the cyclone (Fig. 7). The bands in Fig. 7 are numbered from south to north and fall into two groups: the northern group (B) intersected by the aircraft and a southern group (S) with a more counterclockwise orientation. As the progression from white lines (position at 1500 UTC) to yellow lines (1515 UTC) shows, the bands were moving quickly south-southeastward. The aircraft cross section crossed B0, B1, and B2, reaching its northern turn in a gap in the precipitation along the much-larger B3 band, which flanks the southern side of the bentback front. Figure 8a shows the relative humidity (RH) from the aircraft overlain with surface precipitation rate estimated from the radar network (red). The flight leg crossed two cloud bands (RH ≥ 100%), identified as bands B1 and B2 in Fig. 7, that were clearly precipitating at the time of crossing (no cloud was encountered at aircraft altitude during the passage of B0). Note how the wind speed is weaker in the bands than in the clearer air in between them (Fig. 8b). The aircraft began its 180° platform turn at 1516 UTC just as it reached B3, rendering its wind measurements unreliable, so the section of flight through B3 is not shown in Fig. 8. Figures 8c and 8d show measurements of liquid and ice number concentrations across the bands, from the Cloud Droplet Probe (CDP) and Cloud Imaging Probe (CIP-100), respectively; details of the microphysics instrumentation are given in Lloyd et al. (2014). The clouds contained mixed liquid and ice, with relatively high concentrations of ice particles, images of which show complex aggregates of platelike crystals (Fig. 9a) as well as high concentrations of columnar crystals at temperatures between -5° and -8°C, characteristic of secondary ice formed by rime splintering (Hallett and Mossop 1974) (Fig. 9b). Substantial ice concentrations were also found in regions subsaturated with respect to ice. One of the main objectives of DIAMET was to quantify diabatic heating and cooling rates using the observed microphysics, to compare with and improve model simulations. As an example of this, the method described in Dearden et al. (2014) has been used to calculate instantaneous diabatic heating and cooling rates associated with the growth and evaporation of ice crystals by vapor diffusion along this section of the flight (Fig. 8e). The calculations made use of relative humidity derived from the Water Vapor Sensing System, version 2 (WVSS-II), hygrometer data, and ice particle size distributions from the CIP-100 probe in the range 0.1-6.2 mm (this probe agreed well with other probes in the size range below 1 mm; see Fig. 9c). We obtained information on ice particle shapes from the imaging probes and used this to constrain the calculations (red line, Fig. 8e).
However, many existing bulk microphysics schemes assume fixed shapes for ice crystals to determine the rate of change of ice mass by vapor diffusion, with some simply assuming spherical particles such that the dimension of a particle represents its diameter [e.g., Wilson and Ballard (1999), as used by the Met Office Unified Model; Liu et al. 2003;Morrison et al. 2005]. To explore the impact of particle geometry, calculations were also performed assuming the ice particles were spherical during diffusion growth, with a diameter equal to the maximum dimension (blue line, Fig. 8e). The results show that for a given particle size distribution, the assumption of spherical shapes leads to an overestimation of the heating and cooling rates by a factor of 2 or more.
The regions of diabatic heating at 1510-1511 and 1513-1514 UTC both coincide with small decreases in wind speed, consistent with transport of lowermomentum air from below in shallow convective updrafts. The instantaneous cooling rates in the clear air were observed on the southern side of the cloud bands. This raises a question regarding the dynamical mechanism responsible for the emergence of banding in this region of intense cyclones that could explain the relationship between the cloud and wind in such bands and whether there could be a cooperative feedback from diabatic heating and cooling on the winds (both vertical and horizontal components). We now examine surface wind observations during the passage of the bands. Figure 10 shows the position of rainbands with time along a straight line joining AWS sites on the islands of Tiree and Islay (Fig. 8). Distance is measured from north-northwest to southsoutheast. The precipitation rate at 5-min intervals estimated by the radar network has been interpolated to the section to create the time-distance progression of rainfall rate. Wind gust strength (5-min running median to be consistent with the radar update interval) is overlain for both AWS sites, after subtracting a 90-min running median to remove the larger-scale variation.

S U R F A C E W I N D O B S E R V AT I O N S .
White curves indicate the progression of rainbands along the section, identified using animations of the radar images. Band B1 moved from Tiree (point T) at 1445 UTC to Islay (I) at 1610 UTC and was intercepted by the aircraft at point A (1510 UTC). Note the variability in the precipitation rate of this rainband as it moved along the section; as well as moving south-southeastward, the cloud bands changed morphology noticeably between 5-min radar images. One rainband appeared to split into two at around 1500 UTC: band B1 moved toward the east-southeast, whereas B2 was more stationary, curving almost parallel to the bent-back front (Fig. 7). The rain reaching Tiree at 1515 UTC (Fig. 7) was at the tip of a much broader precipitation feature advancing rapidly from the west-northwest along the bent-back front, which we do not discuss here. At about 1615 UTC, another precipitation band B4 emerged between band B2 and the bent-back front. Consistent with the aircraft observations at 840 hPa, the surface wind speed was lower in the core of rainband B1 and immediately after it (at points T and I) than in the clear air either side. Similar dips in wind speed occurred during the passage of band B2 across Islay (1715 UTC) and also the earlier bands S1 and S2. To see if this relationship held more generally, data from all 13 AWS sites across central Scotland were examined for this day. The mode of wind speed within the rainbands was 1.5 m s -1 lower than between them, while locally the peak-to-trough variation in surface gust strength associated with bands was as much as 10 m s -1 . In summary, both at aircraft altitude and at the surface there is evidence that the wind speed tends to dip during the passage of a rainband, and that it tends to be higher in the clear air in between. Given the linear nature of the rainbands and their tendency to align along the mean wind, this suggests that the strongest surface winds (and therefore damage) will be arranged in linear swathes. We now examine forecast model predictions of the storm to see how well the Met Office Unified Model simulated these features. IOP 8, each ensemble member took its initial and boundary conditions from the corresponding North Atlantic and European regional version of MOGREPS (Bowler et al. 2008). Figure 11 shows a snapshot at 1600 UTC from the first four MOGREPS-UK members, zooming in on Scotland. The color shading is the 850-hPa wind speed, and lines indicate the axes of wind speed maxima. Figure 12 overlays the same lines on the model precipitation rates. The highwind cores generally lie along the clear slots between the rainbands. The same is true of the operational deterministic Met Office 1.5-km (U.K. version) model forecast (not shown). This structure and magnitude of variation is consistent with the in situ aircraft observations presented in Fig. 8.

ENSEMBLE PREDICTION OF BANDING
Each of the 12 ensemble forecasts exhibited banding in precipitation and winds, and we now examine how well the observed precipitation structure was represented and its dependence on length scale L. Roberts and Lean (2008) and Roberts (2008) introduced a measure of the similarity of a forecast pattern of precipitation rate to the radar-derived rate called the fractions skill score (FSS). First, the radar and forecast data are interpolated onto the same regular grid. Then, neighborhoods are defined as squares of side L, and we compute the fraction of pixels within each neighborhood that have a rain rate exceeding a certain threshold. The calculation is repeated for neighborhoods centered on every grid box, using both radar and forecast data. If the precipitation fraction in a forecast matches the observed fraction in every neighborhood square, then the FSS equals 1. The lowest possible score for a complete mismatch everywhere is 0, and a score of 0.5 indicates a minimum level of satisfactory spatial agreement (the forecast pattern is in agreement more often than it is not). Figure 13 shows the FSS versus scale, averaged for Scotland over forecast lead times of 4-24 h (for a rainrate threshold of 2 mm h -1 ). The FSS increases with scale and exceeds 0.5 for scales greater than 25 km for the best ensemble member. The precipitation pattern is highly dependent upon initial conditions, with the worst ensemble member having FSS < 0.5 even for the 110-km scale (associated with a displacement of the cyclone). The precipitation pattern is dominated by the bands that have a characteristic spacing ranging from 20 to 50 km, so the statistics indicate that the model must have captured the positioning of the bands to some extent. Those ensemble members that have a strong match (high FSS) when the bands first emerge maintain the highest FSS throughout the forecast, showing that the model is capable of simulating the evolution of the bands, given favorable initial conditions. Currently, the DIAMET team is evaluating the MOGREPS-UK ensemble performance in precipitation forecasts using FSS, and relating skill in precipitation to the skill in the forecasts of mesoscale features that are associated with precipitation, such as fronts.

CONCLUSIONS.
The second DIA MET campaign took place at a time of exceptionally strong flow across the North Atlantic and vigorous cyclone frequency and intensity over northwestern Europe. The DIAMET flights were the first aircraft missions with comprehensive cloud instrumentation to sample the strong wind region south of a cyclone center. IOP 8 took the investigators into the extreme winds of Extratropical Cyclone Friedhelm, which had a T-bone frontal structure with a bent-back front. A phenomenon of particular interest was the cloud and precipitation banding in the strong winds found in the southern quadrant of the storm. The FAAM aircraft traversed this region between 2000-and 700-m altitude crossing three cloud bands, two of which were precipitating at the time. The clouds were found to be of mixed phase with high number concentrations of secondary ice crystals in the form of columns, consistent with ice multiplication by the Hallett-Mossop (splintering) process. Estimates of the diabatic heating rate were found to be sensitive  Fig. 11.   Fig. 13. FSS measuring the degree of fit between the rain-rate pattern in each forecast and the radar data vs horizontal scale, averaged over forecast lead times 4-24 h. The yellow shading indicates the full range of results from the 12-member ensemble and the members 0, 4, and 5 are also indicated. The best ensemble member has a similar pattern to the radar data (FSS > 0.5) for scales greater than 25 km. FSS is calculated over Scotland (54.6°-59.3°N, 8.1°W-0.4°E).
to the particle shape: assuming spherical ice particles when calculating diffusional growth can lead to errors of a factor of 2 in the heating rate. Between the bands, sublimating ice particles gave instantaneous diabatic cooling rates of up to 4 K h -1 in a region where (according to dropsonde 4) the atmosphere was close to neutral stability below 800 hPa (2 km).
The horizontal wind speed was lower within the cloud bands than in the clear air between them. At 840 hPa, diabatic heating (deduced from the microphysical measurements) occurred where the wind speed decreased, indicating that saturated updrafts were transporting lower-momentum air from the boundary layer below. However, wind measurements from automatic weather stations at the ground also showed a dip in wind speed as rainbands passed overhead. Thus, a link existed between precipitation banding and wind speed throughout the lowest 2 km. Further work is under way to understand the dynamical reasons for the bands and their characteristic spacing.
The DIAMET IOP 8 case was one of several used to examine the behavior of the Met Office MOGREPS-UK 2.2-km ensemble prior to its operational implementation. The forecasts indicated banding in winds and precipitation with the highest wind speeds in the clear slots. The best member matched the structure in precipitation rates observed by radar for length scales of 25 km and above, and this degree of matching was sustained throughout the forecast. This length scale corresponded with the rainband spacing, indicating that the model was capable of forecasting the rainbands and associated wind structures with a positional uncertainty similar to the spacing between the bands. However, this is only one case, and ensemble forecasts from many cases are required to quantify the skill in probability forecasts of mesoscale features.
Cloud and precipitation banding is often observed in satellite and radar imagery in the southern quadrant of intense extratropical storms. The finding that the precipitation bands are associated with structure in the wind with gusts up to a few meters per second higher in the cloud-free slots, even at the surface, is important for predicting the local impact of cyclonic windstorms. For example, in simple environmental risk models, wind damage scales with the third power of wind speed, so even small wind speed enhancements of several meters per second are potentially important. In IOP 8, the rainbands were aligned approximately with the large-scale wind direction, so the highest wind gusts would have been concentrated along linear swaths. This coherent structure of the wind fields is important for nowcasting, as well as for short-range forecasting where there is now potential skill in predicting wind-band structure (even if not the precise location) using high-resolution models.