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<br />6 <br />speed and the change in shape and bulk densi ty of the, ice crystal. <br />Ventilation was obviously of minor importance in the early growth <br />period of an ice crystal but was daninant in the: growth rate of <br />large ice crystals and aggregates at -lSoC. <br />Hindman and Johnson (1972) developed a numerical approximation <br />for growth of ice crystals by diffusion under conditions of water <br />saturation and varying temperature. Results from calculations of <br />crystal growth under these conditions illustrated the evolution of <br />columns to capped columns, and dendrites to spatial dendrites. The <br />model was also designed to simulate growth by simultaneous vapor <br />deposi tion and droplet accretion. The model allowed for <br />variability in the final mass of water accreted; if the rate of <br />growth by accretion was greater than that by deposition, the <br />crystal was assumerl to develop into a spherical graupel particle <br />after sufficient time. The crystal rimed moderately if the <br />converse existed. A drawback of this model was that all crystals <br />were treated alike. <br /> <br />Young (1974) developed a numerical model which extended <br />treatment of microphysical cloud processes to more than one level. <br />The model included processes such as warm cloud process, diffusion, <br />accretion and aggregation. A noteworthy aspect of the model is the <br />way aggregation was handled. For relatively large differences in <br />fall veloci ty between the particles, a collection kernal based on <br />the difference in fall velocity was used. For small differences <br />in fall velocities, a collision rate was based on a Gaussian <br /> <br />distribution of fall velocities (Basyo, 1971). <br /> <br />. <br /> <br />. <br /> <br />e <br /> <br />. <br /> <br />. <br /> <br />e. <br /> <br />. <br /> <br />e. <br /> <br />. <br /> <br />. <br /> <br />e <br /> <br />. <br /> <br />. <br />