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View CartSpectral Numerical Weather Prediction Models
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- 1 Innsbruck, Austria
Description
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.
Spectral Numerical Weather Prediction Models provides readers with
• information necessary to construct spectral NWP models;
• a self-contained, well-documented, coded spectral NWP model; and
• theoretical and practical exercises, some of which include solutions.
Keywords: numerical weather prediction, weather prediction model, spectral methods, collocation technique, transform method, fast Fourier transform, atmospheric dynamics, hydrostatic primitive equations
Table of Contents
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Front Matter
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- Atmospheric Dynamical Models
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1. Introduction
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3. The Primitive Equations
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4. The Shallow-Water Model
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6. Balanced Flow
- Spectral Numerical Models
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7. The Spectral Method
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8. Vertical Discretization
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9. Time Integration
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10. Code Structure of PEAK
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11. Experimentation with PEAK
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12. Barotropic PEAK Configurations
- Appendices
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Appendix A: Tensor Analysis
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Back Matter
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Excerpt
Here, on the level sand, between the sea and land, what shall I build or write, against the fall of night?
—[Har40, Sec. 7]
This book is about numerical weather prediction (NWP). It focuses on the application of the spectral method in NWP models. The spectral method in NWP is described by (i) illustrating the spectral theory in general terms, as well as by (ii) applying this theory to the implementation of a specific spectral NWP model. The description of the implementation of this model, named PEAK, is given in detail, so as to illuminate all the building blocks that constitute a spectral global NWP model.
The spectral theory laid out here along (i) is the topic of several other books on NWP. However, the detailed description of applying this theory in a practical context, along (ii), as it leads from the generally formulated model equations to their final implementation in terms of the Fortran 90/95 statements of a global NWP model cannot easily be found elsewhere in one single place.
©2012 SIAM
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