Ehrendorfer M. Spectral Numerical Weather Prediction Models

Society for Industrial and Applied Mathematics, 2012. — 497 p.This book provides a comprehensive overview of numerical weather prediction (NWP) focusing on the application of the spectral method in NWP models. The author 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 author describes the implementation of a specific model—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.List of Figures
List of Tables
List of AlgorithmsGoverning Atmospheric Dynamics
The Primitive Equations
The Shallow-Water Model
The Barotropic Vorticity Equation
Balanced Flow
The Spectral Method
Vertical Discretization
Time Integration
Code Structure of PEAK
Experimentation with PEAK
Barotropic PEAK Configurations
Appendices