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<br />efficient lookup tables, but this is probably not <br />important in the overall performance of the <br />scheme. As other investigators had done, ice <br />multiplication by rime splintering was included <br />(Hallett and Mossop, 1974; Heymsfield and <br />Mossop, 1984; Mossop, 1985). Finally, the <br />deposition and condensation freezing <br />parameterization of Meyers et al. (1992) was <br />incorporated into the scheme, increasing the <br />number concentrations of ice crystals at middle <br />levels. <br /> <br />The challenge was not in simulating the radar <br />reflectivity structure of strong continental <br />convection, but rather that of weaker oceanic <br />convection. I spent most of my efforts on looking <br />at a couple of cases from GATE (tropical East <br />Atlantic) and TOGA COARE (tropical Western <br />Pacific). We concentrated most of our efforts at <br />GSFC on 2D simulations of squall lines, in which <br />the convection was initiated by convergence and <br />lifting from initial low-level cold pools. Maximum <br />radar reflectivities in GATE convective cores <br />rarely exceeded 50 dBZ, and yet early versions of <br />the 4ice scheme produced echoes approaching <br />65 dBZ! Substantial improvement in the <br />convective echo structure was obtained when I <br />realized that conserving particle number <br />concentrations when converting between different <br />hydrometeor species could cause spurious <br />changes (or lack of conservation) in the higher <br />particle moments. Accurate calculations of radar <br />reflectivities, precipitation rates, and other higher <br />moments required preserving the width of the <br />particle spectra, as represented by the slope of an <br />exponential distribution. <br /> <br />Likely the most controversial aspect of this <br />scheme was a crude representation of the ice <br />enhancement results from the University of <br />Washington (Hobbs and Rangno, 1985, 1990; <br />Rangno and Hobbs, 1991). It helped to initiate <br />large numbers of ice particles during the early <br />stages of squall-line evolution when convective <br />updrafts were strong enough to carry some rain <br />above the freezing level. The difficulty with rime <br />splintering, as I saw it, was that it required <br />precipitation ice ("rimers") and cloud water to <br />coexist in a relatively narrow temperature range <br />(particle surface temperatures from -30C to -80C). <br />Ironically, including the Hobbs-Rangno ice <br />enhancement provided a sufficient number of <br />rimers to form in the updrafts and allow the rime- <br />splintering mechanism to become effective. Again <br />looking back at the situation, maybe part of the <br /> <br />problem was our methods of convective <br />initialization? I tried runs where convection <br />propagated through a pre-existing ice cloud and <br />with imposed larger-scale vertical motion, but my <br />concern was that there was a lack of observational <br />support for bog using in such effects. <br /> <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />I seriously considered including the number <br />concentrations of cloud water and rain, much as <br />what was originally designed by Ziegler (1985) or <br />using the more recent two-moment approach of <br />Meyers (1995), but decided to wait until the ice <br />scheme was formulated first. Meyers (1995) <br />developed a comprehensive two-moment <br />microphysical scheme that calculated number <br />concentrations for all forms of condensate. <br /> <br />Another double-moment bulk scheme has <br />been developed for use in MM5 (Reisner et al., <br />1998). A version of the Reisner microphysics <br />where the number concentrations of ice are <br />calculated has been running operationally in the <br />Rapid Update Cycle (RUC) for the past several <br />years. An early version scheme produced too <br />much graupel in the 40-km RUC model, but this <br />has sense been modified to yield more reasonable <br />results now running in the 20-km RUC (Brown et <br />al., 2000). At NCAR and at Forecast Systems <br />Laboratory (FSL), plans are to calculate the <br />number concentrations of cloud water, rain, and <br />snow in the RUC over the next few years, primarily <br />for aviation interests. <br /> <br />There are several drawbacks in using multiple- <br />moment schemes. First, they are computationally <br />more expensive than single-moment bulk <br />schemes. Second, they require an accurate, <br />positive-definite advection scheme to prevent <br />decoupling of mixing ratio from number <br />concentration. Third, they sometimes behave <br />unpredictably and are more sensitive to small <br />perturbations in the initial conditions than simple <br />bulk schemes. <br /> <br />6. BIN MICROPHYSICAL APPROACHES <br /> <br />Biri microphysical models explicitly calculate <br />particle number concentrations in different size <br />categories. Early formulations focused on the <br />evolution of the drop spectrum from the onset of <br />cloud droplets by condensation through large drop <br />self collection (e.g., Berry and Reinhardt, 1974; <br />Soong, 1974; Takahashi, 1981), while more recent <br />formulations have also included size categories for <br />cloud condensation nuclei (e.g., Kogan, 1991). <br /> <br />8 <br />