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Early models for weather forecasting are reviewed, including adiabatic, barotropic, and baroclinic (quasi-geostrophic). Precipitation prediction and nonadiabatic effects are discussed, and full equations for prediction are provided. Soviet scientists have established a new problem in hydrodynamic short-range weather forecasting, more difficult than any that has preceded it, having to do with local prediction. Heretofore, comparisons have been made with synoptic methods, but the science has reached such a state now where only hydrodynamics may yield a proper solution. There are actually no synoptic methods for forecasting the spottiness of precipitation over cities or any other locality, no methods for local forecasting in mountains. One can hardly restrict himself to quasi-statistical models, to say nothing of quasi-geostrophic models. It is first necessary to have full hydrodynamic equations, with consideration of vertical accelerations. For adequate short-range work, characteristic distances will be 1 or 2 km rather than the 1000 km of previous forecasting. (Author).
Further advancements in the theory and practice of hydrodynamic short-term weather forecasting is illustrated by a brief description of prognostic models and effective work being done in the Hydrometeorological Scientific Research Center, USSR with the aid of the complete hydrodynamics equations.
Contents: Theory and methods of weather forecasting; Physics of the atmosphere; Climate and overall circulation of the atmosphere; Objective analysis and meteorological information.
The material provides an historical background to forecasting developments as well as introducing recent advances. The book will be of interest to both mathematicians and physicians, the topics covered include equations of dynamical meteorology, first integrals, non-linear stability, well-posedness of boundary problems, non-smooth solutions, parameters and free oscillations, meteorological data processing, methods of approximation and interpolation and numerical methods for forecast modelling.