This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Author(s): John Thuburn (auth.), Peter Lauritzen, Christiane Jablonowski, Mark Taylor, Ramachandran Nair (eds.)
Series: Lecture Notes in Computational Science and Engineering 80
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Language: English
Pages: 564
Tags: Computational Mathematics and Numerical Analysis; Partial Differential Equations; Meteorology/Climatology
Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Some Basic Dynamics Relevant to the Design of Atmospheric Model Dynamical Cores....Pages 3-27
Waves, Hyperbolicity and Characteristics....Pages 29-42
Horizontal Discretizations: Some Basic Ideas....Pages 43-57
Vertical Discretizations: Some Basic Ideas....Pages 59-74
Time Discretization: Some Basic Approaches....Pages 75-104
Stabilizing Fast Waves....Pages 105-140
Front Matter....Pages 141-141
Momentum, Vorticity and Transport: Considerations in the Design of a Finite-Volume Dynamical Core....Pages 143-183
Atmospheric Transport Schemes: Desirable Properties and a Semi-Lagrangian View on Finite-Volume Discretizations....Pages 185-250
Emerging Numerical Methods for Atmospheric Modeling....Pages 251-311
Voronoi Tessellations and Their Application to Climate and Global Modeling....Pages 313-342
Front Matter....Pages 343-343
Conservation in Dynamical Cores: What, How and Why?....Pages 345-355
Conservation of Mass and Energy for the Moist Atmospheric Primitive Equations on Unstructured Grids....Pages 357-380
The Pros and Cons of Diffusion, Filters and Fixers in Atmospheric General Circulation Models....Pages 381-493
Kinetic Energy Spectra and Model Filters....Pages 495-512
A Perspective on the Role of the Dynamical Core in the Development of Weather and Climate Models....Pages 513-537
Refactoring Scientific Applications for Massive Parallelism....Pages 539-556
Back Matter....Pages 557-563
