: Peter Lauritzen, Christiane Jablonowski, Mark Taylor
: Peter H. Lauritzen, Christiane Jablonowski, Mark A. Taylor, Ramachandran D. Nair
: Numerical Techniques for Global Atmospheric Models
: Springer-Verlag
: 9783642116407
: 1
: CHF 95.00
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 564
: Wasserzeichen
: PC/MAC/eReader/Tablet
: PDF

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.

Foreword389
6389
Preface389
8389
Contents389
14389
Contributors389
16389
Part I Equations of Motion and Basic Ideas on Discretizations18
Chapter 1: Some Basic Dynamics Relevant to the Design of Atmospheric Model Dynamical Cores19
1.1 Introduction19
1.2 The Multiscale Nature of Atmospheric Dynamics20
1.3 Governing Equations21
1.3.1 Approximate Equation Sets23
1.4 Fast Waves25
1.4.1 Acoustic Waves25
1.4.2 Inertio-Gravity Waves26
1.4.3 Phase Velocity and Group Velocity28
1.5 Balance30
1.5.1 Hydrostatic Balance30
1.5.2 Geostrophic Balance31
1.5.3 Conditions for Hydrostatic Balance to be a Good Approximation31
1.5.4 Balance and Nonlocality32
1.6 Sketch of Quasigeostrophic Theory33
1.6.1 Rossby Waves35
1.7 Eulerian and Lagrangian Timescales36
1.8 Turbulence and Cascades37
1.8.1 Three Dimensional Turbulence37
1.8.2 Two-dimensional Turbulence38
1.8.3 Energy Upscale, Enstrophy Downscale39
1.8.4 Application to the Real Atmosphere41
1.9 Conclusion42
References42
Chapter 2: Waves, Hyperbolicity and Characteristics44
2.1 Introduction44
2.2 The Method of Characteristics45
2.3 The Normal Modes of the Hydrostatic Equations47
2.