E-raamat: Numerical Methods in Weather Prediction

Preface to the English EditionPreface to the Russian
EditionIntroduction1 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 System2
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 Atmosphere3 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 Trajectories4 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 Models 4.3 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 Scheme5 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 Deviations
5.4 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 Problems6
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 Transport7 The
Radiation Field in Weather Prediction 7.1 Basic Characteristics of the
Radiation Field 7.2 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 Problem8 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 FieldReferencesSubject Index