Spectral Numerical Weather Prediction Models

The book provides a comprehensive overview of numerical weather prediction (NWP) focusing on the application of the spectral method in NWP models. The book illustrates the use of the spectral method in theory, as well as in its application to building a full prototypical spectral NWP model, from the formulation of continuous model equations through development of their discretized forms to coded statements of the model. 

The book's material describes the implementation of a specific model named PEAK (Primitive-Equation Atmospheric Research Model Kernel) to illustrate the steps needed to construct a global spectral NWP model. The book brings together all the spectral, time, and vertical discretization aspects relevant for such a model. Spectral Numerical Weather Prediction Models provides readers with (i) information necessary to construct spectral NWP models, (ii) a self-contained, well-documented, coded spectral NWP model, and (iii) theoretical and practical exercises, some of which include solutions. This book is intended for anyone with a basic mathematics and physics background who is interested in any aspect of NWP and in learning fundamentals of atmospheric dynamics. The audience also includes other mathematicians and physicists, students, researchers, teachers, and engineers.