17B.3: 24TH CONFERENCE ON SEVERE LOCAL STORMS, SAVANNAH, GA 1 The Super Tuesday Outbreak: Forecast Sensitivities to Single-Moment Microphysics Schemes Andrew L. Molthan1,2, Jonathan L. Case3, Scott R. Dembek4, Gary J. Jedlovec1, and William M. Lapenta5 1NASA/MSFC Short-term Prediction Research and Transition (SPoRT) Center 2University of Alabama in Huntsville, Huntsville, AL 3ENSCO Inc./SPoRT Center 4Universities Space Research Association/SPoRT Center, Huntsville, AL 5NOAA/NWS/NCEP Environmental Modeling Center, Camp Springs, MD 1. INTRODUCTION 2. BACKGROUND Forecast precipitation and radar characteristics are used Two single-moment schemes are used here in forecasts by operational centers to guide the issuance of advisory of the February 5-6 Super Tuesday Outbreak (Carbin and products. As operational numerical weather prediction is Schaefer 2008): the NASA Goddard (Tao et al. 2008; GSFC performed at increasingly finer spatial resolution, convective hereafter) and the Weather Research and Forecasting (WRF) precipitation traditionally represented by sub-grid scale pa- model Six-Class Single-Moment (Hong and Lim 2006 and rameterization schemes is now being determined explicitly Hong et al. 2004; WSM6 hereafter) microphysics schemes. through single- or multi-moment bulk water microphysics These schemes are limited to prognostic equations for the routines. Gains in forecasting skill are expected through mixing ratios (or mass content) of six hydrometeor classes: improved simulation of clouds and their microphysical pro- water vapor, cloud water, cloud ice, rain, snow and graupel cesses. High resolution model grids and advanced param- or hail. Each scheme is responsible for the representation of eterizations are now available through steady increases in physical processes through formulas that quantify the growth computer resources. As with any parameterization, their or decay of each class. reliability must be measured through performance metrics, The WSM6 and GSFC schemes are based upon the with errors noted and targeted for improvement. Furthermore, fundamental processes and equations described by Lin et al. the use of these schemes within an operational framework (1983) and Rutledge and Hobbs (1983). Both use an inverse requires an understanding of limitations and an estimate of exponential size distribution for rain, snow and graupel. biases so that forecasters and model development teams can The inverse exponential distribution determines the volume be aware of potential errors. concentration of a spherical diameter particle as a func- −1 −3 The National Severe Storms Laboratory (NSSL) Spring tion of an intercept nox (m m ) and slope parameter −1 Experiments have produced daily, high resolution forecasts λx (m ), where “x” represents a hydrometeor category: −λ D −1 −3 used to evaluate forecast skill among an ensemble with varied n(D)= noxe x (m m ). Due to the moment charac- physical parameterizations and data assimilation techniques teristics of the inverse exponential distribution, many quan- (Kain et al. 2008). In this research, high resolution forecasts tities are directly related to the intercept and slope. For of the 5-6 February 2008 Super Tuesday Outbreak are repli- example, the total number concentration may be obtained as cated using the NSSL configuration in order to evaluate two Nx = nox/λx, the arithmetic mean diameter as D¯x = 1/λx, and components of simulated convection on a large domain: sen- the median volume diameter is Dox = 3.67/λx. Therefore, for sitivities of quantitative precipitation forecasts to assumptions a fixed slope value, increasing nox adds to the total number within a single-moment bulk water microphysics scheme, concentration of hydrometeors per volume. Decreasing (in- and to determine if these schemes accurately depict the creasing) the slope parameter λx will increase (decrease) the reflectivity characteristics of well-simulated, organized, cold distribution mean or median volume diameter. Cloud water frontal convection. As radar returns are sensitive to the and cloud ice are assumed to be of a single, uniform size. amount of hydrometeor mass and the distribution of mass Nearly all of the microphysical source and sink terms among variably sized targets, radar comparisons may guide described by Lin et al. (1983) or Rutledge and Hobbs (1983) potential improvements to a single-moment scheme (Lang require distribution characteristics in order to parameterize et al. 2007). In addition, object-based verification metrics the effects of aggregation, depositional growth, and other are evaluated for their utility in gauging model performance terms. The evolution of water mass among the simulated and QPF variability. species is highly dependent upon the distribution charac- teristics prescribed within a particular model forecast and Corresponding author: Andrew L. Molthan, NASA Marshall Space Flight single-moment scheme. Within the GSFC formulation, fixed Center, Huntsville, Alabama. E-mail: [email protected]. intercepts are used for all precipitating classes, while the 2 17B.3: 24TH CONFERENCE ON SEVERE LOCAL STORMS, SAVANNAH, GA WSM6 scheme varies the snow intercept parameter as a function of temperature (Table 1), based on observations by L Houze et al. (1979). Mass-weighted terminal velocities and the collection efficiencies for snow and cloud water or ice also vary among these schemes. In addition, the WSM6 auto- converts snow to graupel when the snow mixing ratio exceeds SQLN a threshold value of 0.6 g kg−1. Cloud ice sedimentation is not present within GSFC but is carried out within the WSM L based upon mass and fall speed characteristics for bullet-type crystals. These differences accumulate with each model time step and contribute to some significant differences in profiles of mean hydrometeor content and reflectivity characteristics addressed in future sections. 3. OVERVIEW OF THE SUPER TUESDAY OUTBREAK During the period of 5-6 February 2008, a deep and Fig. 1. Depiction of surface conditions at 1200 UTC 5 February 2008 progressive mid-level trough (500 hPa) traversed the central with 1200 UTC NAM initialization isobars at 4 hPa interval. Green (blue) United States, driving the northward advection of warm, shading represents areas of rainfall or thunderstorms (snow). The position of an active squall line is marked ’SQLN’ and maintained intensity through moist air to establish significant instability, shear, and an 1400 UTC and beyond, as referenced in the text. elevated mixed layer across the southeastern United States (Crowe and Mecikalski 2008). Specifically, observations on 1200 UTC 5 February 2008 depicted a surface low 4. DATA AND METHODOLOGY in central Oklahoma with a nearly stationary boundary a. Weather Research and Forecasting (WRF) Model stretching northeast toward the Midwest and Great Lakes (Fig. 1). This slow moving cold front provided a forcing The WRF model is used extensively to investigate me- mechanism for persistent convection extending from Illinois teorological phenomena and perform real-time simulations through Pennsylvania. As the upper-level trough entered within operational centers. Here, the WRF model is used the Great Plains (not shown), the Oklahoma surface low to determine the sensitivities in QPF and radar character- trended northeastward, and the attendant cold front focused istics of organized convection attributed to the assumptions a narrow, intense squall line and numerous long-lived, cyclic made within single-moment, bulk water cloud microphysics supercells responsible for significant damage deeper into the schemes. Three formulations are applied to forecasts of the southeastern United States, spawning the majority of the Super Tuesday Outbreak: the WSM6 (WSM6, Hong et al. 87 tornadoes and damaging wind or hail reports confirmed 2004), the NASA Goddard six-class scheme with graupel during the event. (GSFC6G, Tao et al. 2008), and the NASA Goddard six- The components of the Super Tuesday Outbreak of interest class scheme with hail (GSFC6H, Tao et al. 2008). In order to here are sensitivities in quantitative precipitation forecasts evaluate model performance, the aforementioned simulations (QPF) and radar characteristics of cold frontal convection adopt the choices of additional parameterizations selected simulated during the outbreak. Based on Weather Surveil- for use in experimental, real-time forecasts generated by lance Radar-1988 Doppler (WSR-88D) radar mosaic im- the NSSL and utilized during the 2008 Spring Experiment agery, convection of varying strength and organizational (Table 2; National Severe Storms Laboratory 2008). Initial mode was widespread during the 36 hour period, 0000 UTC 5 conditions provided by North American Mesoscale (NAM) February to 1200 UTC 6 February 2008. This event provides model fields were a reasonable depiction of the synoptic an opportunity to examine the microphysical properties of scale environment, although a southward displacement of the simulated phenomena, resulting forecasts and sensitivities. Oklahoma surface low is apparent (Fig. 1). b. Precipitation Verification Table 1. Size Distribution Characteristics of the GSFC and WSM6 Schemes Utilized in WRF Model Forecasts Comparisons between observed precipitation rates and modeled counterparts are made using the NCEP Stage-IV −4 −3 Scheme Category nox (m ) ρx (kg m ) hourly precipitation analyses (Lin and Mitchell 2005). These GSFC Rain 8.0x106 1000 analyses are mosaics of combined radar estimates, surface Snow 1.6x107 100 gauge corrections and quality control steps conducted
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