Book Description
An explanation of the theory behind the spectral method and its application to building numerical weather prediction models.
Author : Martin Ehrendorfer
Publisher : SIAM
Page : 503 pages
File Size : 24,52 MB
Release : 2012-01-19
Category : Mathematics
ISBN : 1611971985
An explanation of the theory behind the spectral method and its application to building numerical weather prediction models.
Author : Martin Ehrendorfer
Publisher : SIAM
Page : 503 pages
File Size : 42,64 MB
Release : 2012-01-01
Category : Mathematics
ISBN : 1611971993
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. It 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.
Author : T.N. Krishnamurti
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 21,77 MB
Release : 2006-02-02
Category : Science
ISBN : 0387302549
This is an introductory textbook on global spectral modeling designed for senior-level undergraduates and possibly for first-year graduate students. This text starts with an introduction to elementary finite-difference methods and moves on towards the gradual description of sophisticated dynamical and physical models in spherical coordinates. Computational aspects of the spectral transform method, the planetary boundary layer physics, the physics of precipitation processes in large-scale models, the radiative transfer including effects of diagnostic clouds and diurnal cycle, the surface energy balance over land and ocean, and the treatment of mountains are some issues that are addressed. The topic of model initialization includes the treatment of normal modes and physical processes. A concluding chapter covers the spectral energetics as a diagnostic tool for model evaluation. This revised second edition of the text also includes three additional chapters. Chapter 11 deals with the formulation of a regional spectral model for mesoscale modeling which uses a double Fourier expansion of data and model equations for its transform. Chapter 12 deals with ensemble modeling. This is a new and important area for numerical weather and climate prediction. Finally, yet another new area that has to do with adaptive observational strategies is included as Chapter 13. It foretells where data deficiencies may reside in model from an exploratory ensemble run of experiments and the spread of such forecasts.
Author : David Gottlieb
Publisher : SIAM
Page : 167 pages
File Size : 12,61 MB
Release : 1977-01-01
Category : Technology & Engineering
ISBN : 0898710235
A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Author : Donald C. Norquist
Publisher :
Page : 168 pages
File Size : 18,65 MB
Release : 1992
Category : Long-range weather forecasting
ISBN :
Author : Lewis F. Richardson
Publisher :
Page : 258 pages
File Size : 42,40 MB
Release : 1922
Category : Numerical weather forecasting
ISBN :
Author : Alex Joseph DeCaria
Publisher :
Page : 320 pages
File Size : 41,10 MB
Release : 2014-05-01
Category : Atmospheric models
ISBN : 9780972903349
This book is written for advanced undergraduates and graduates in atmospheric science. It introduces students to the essentials of finite-difference methods, numerical stability, spectral methods, data assimilation and initialization, boundary conditions, and parameterization of subgrid-scale phenomenon. It also covers more advanced topics such as finite-volume methods, semi-Lagrangian and semi-implicit schemes, and chemical transport modeling. Practical programming and written exercises are included.
Author : Jean Coiffier
Publisher : Cambridge University Press
Page : 363 pages
File Size : 41,34 MB
Release : 2011-12-01
Category : Science
ISBN : 1139502700
Numerical models have become essential tools in environmental science, particularly in weather forecasting and climate prediction. This book provides a comprehensive overview of the techniques used in these fields, with emphasis on the design of the most recent numerical models of the atmosphere. It presents a short history of numerical weather prediction and its evolution, before describing the various model equations and how to solve them numerically. It outlines the main elements of a meteorological forecast suite, and the theory is illustrated throughout with practical examples of operational models and parameterizations of physical processes. This book is founded on the author's many years of experience, as a scientist at Météo-France and teaching university-level courses. It is a practical and accessible textbook for graduate courses and a handy resource for researchers and professionals in atmospheric physics, meteorology and climatology, as well as the related disciplines of fluid dynamics, hydrology and oceanography.
Author : Nicholas J. Higham
Publisher : Princeton University Press
Page : 1014 pages
File Size : 33,61 MB
Release : 2015-09-09
Category : Mathematics
ISBN : 0691150397
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Author :
Publisher :
Page : 156 pages
File Size : 31,50 MB
Release : 1994
Category : Numerical weather forecasting
ISBN :