The second edition of this resource for researchers and practitioners is expanded with the introduction of a new perspective on analyzing meteorological modeling capabilities. Fundamental conservation relations are introduced, equations are averaged to conform to a mesoscale model grid mesh, and types of models are discussed and their advantages and disadvantages are examined with respect to simulation of mesoscale phenomena. A transformation of the equations to a generalized coordinate representation is given, and the parameterizations in a mesoscale model of the planetary boundary layer, electromagnetic radiation, and moist thermodynamics are introduced. Mesoscale models are applied in a variety of studies, including weather prediction, regional and local climate assessments, and air pollution investigations. Problems are new to this edition.