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<br />- <br /> <br />TABLE OF CO NTENTS <br /> <br />ACKNOWLEDGMENTS. <br /> <br />. . . . <br /> <br />LIST OF TABLES. . . . <br /> <br />LIST OF ILLUSTRATIONS. . <br /> <br />.......... <br /> <br />ABSTRACT <br /> <br />. . . . . . . <br /> <br />...... <br /> <br />Chapter <br /> <br />I. <br /> <br />INTRODUCTION . . . . . . . . . . . . . . . . . . . . <br /> <br />BClckground <br />RE!search Objective <br /> <br />II. <br /> <br />THE NUMERICAL MODEL <br /> <br />............... <br /> <br />c <br /> <br />TI,e Numerical Framework <br />Microphysics <br />Condensation <br />Coalescence - Breakup <br />Drop Freezing <br />Ice Nucleation <br />Sublimation <br />Riming <br />Melting <br />Dynam i cs <br />General Framework <br />Equations of Motion <br />Mass Continuity Equation <br />Thermodynamic Equation <br />Water Vapor Continuity Equation <br />Particulate Continuity Equations <br />Numerical Methods <br />State Parameter Advection Scheme <br />Hydrometeor Advection Scheme <br />Numerical Coalescence Scheme <br />Simultaneous Solution of Various Transport Terms <br /> <br />iii <br /> <br />Page <br /> <br />ii <br /> <br />vi <br /> <br />vii <br /> <br />xi <br /> <br />1 <br /> <br />4 <br />