عنوان

Numerical Methods in Weather Prediction.

0323157467

9780323157469

b595468

Numerical Methods in Weather Prediction.

[Book]

G Marchuk

Saint Louis

Elsevier Science

2014

(288 pages)

Front Cover; Numerical Methods in Weather Prediction; Copyright Page; Table of Contents; Preface to the English Edition; Preface to the Russian Edition; Introduction; Chapter 1. Basic Equations of Atmospheric Dynamics; 1.1 THE SYSTEM OF EQUATIONS OF ATMOSPHERIC DYNAMICS; 1.2 THE FREE CONVECTION APPROXIMATION; 1.3 EQUATIONS OF DYNAMICS IN THE (x, y, p) COORDINATE SYSTEM; Chapter 2. The Quasigeostrophic Approximation; 2.1 THE BASIC QUASIGEOSTROPHIC SYSTEM OF EQUATIONS; 2.2 THE EQUATION FOR PRESSURE VARIATION; 2.3 THE EQUATION FOR TEMPERATURE VARIATIONS; 2.4 THE EQUATION FOR THE VERTICAL VELOCITY. 2.5 THE EFFECT OF SURFACE FRICTION ON THE EVOLUTION OF METEOROLOGICAL VARIABLES IN THE FREE ATMOSPHEREChapter 3. The Splitting-Up Method; 3.1 BASIC PRINCIPLES OF THE RELAXATION METHOD APPLIED TO STATIONARY PROBLEMS; 3.2 THE SPLITTING-UP METHOD APPLIED TO STATIONARY PROBLEMS; 3.3 A SCHEME FOR THE SPLITTING UP OF NONSTATIONARY PROBLEMS; 3.4 HYDRODYNAMIC EQUATIONS OF TRANSPORT ALONG TRAJECTORIES; Chapter 4. The Splitting-Up Method Applied to the Weather Prediction Equations; 4.1 SPLITTING UP THE SYSTEM OF HYDRODYNAMIC EQUATIONS. 4.2 INVESTIGATION OF THE EQUATIONS OF DYNAMIC ADJUSTMENT OF FIELDS FOR SIMPLE MODELS4.3 A GENERAL APPROACH TO THE DYNAMIC ADJUSTMENT OF FIELDS; 4.4 INVESTIGATION OF THE STABILITY OF AN ALGORITHM; 4.5 NUMERICAL METHODS OF SOLUTION OF SPECTRAL PROBLEMS; 4.6 CONSTRUCTION OF A GENERAL SPLITTING-UP SCHEME; Chapter 5. A Weather Prediction Scheme Based on Conservation Laws; 5.1 THE HYDROTHERMODYNAMIC EQUATIONS IN THE FORM OF CONSERVATION LAWS; 5.2 EQUATIONS FOR THE DEVIATIONS OF METEOROLOGICAL VARIABLES FROM THEIR STANDARD VALUES IN THE QUASISTATIC APPROXIMATION. 5.3 THE COMPLETE SET OF EQUATIONS OF ATMOSPHERIC DYNAMICS IN TERMS OF DEVIATIONS5.4 THE SPLITTING-UP METHOD; 5.5 CONSTRUCTION OF THE EQUATIONS FOR PRESSURE VARIATION; 5.6 DIFFERENCE SCHEMES BASED ON THE CONSERVATION LAWS; 5.7 NEW DIFFERENCE SCHEMES FOR SOLVING WEATHER PREDICTION PROBLEMS; Chapter 6. Humidity Prediction in the Atmosphere; 6.1 BASIC EQUATIONS; 6.2 BOUNDARY CONDITIONS AND INITIAL DATA; 6.3 THE SPLITTING-UP METHOD; 6.4 DIFFERENCE SCHEMES FOR SOLVING THE EQUATIONS OF HUMIDITY TRANSPORT; Chapter 7. The Radiation Field in Weather Prediction. 7.1 BASIC CHARACTERISTICS OF THE RADIATION FIELD7.2 THE EQUATION OF RADIANT ENERGY TRANSFER; 7.3 APPROXIMATE SOLUTION OF THE RADIATION TRANSFER EQUATIONS; 7.4 THE SPLITTING-UP METHOD FOR SOLVING THE RADIATION TRANSFER PROBLEM; Chapter 8. Objective Analysis of Meteorological Fields; 8.1 METHODS OF OPTIMAL INTERPOLATION; 8.2 ADJUSTMENT OF THE METEOROLOGICAL FIELDS; 8.3 OBJECTIVE ANALYSIS OF THE HUMIDITY FIELD; References; Subject Index.

Numerical Methods in Weather Prediction focuses on the numerical methods for solving problems of weather prediction and explains the aspect of the general circulation of the atmosphere. This book explores the development in the science of meteorology, which provides investigators with improved means of studying physical processes by mathematical stimulation. Organized into eight chapters, this book starts with an overview of the significant physical factors that are instrumental in enriching the theoretical models of weather prediction. This text then examines the system of hydrodynamic eq.

Numerical weather forecasting.

G Marchuk

G Marchuk

[Book]

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