| Description |
1 online resource |
| Contents |
Preface; Contents; 1. Governing Equations; 1.1 Introduction; 1.2 Primitive Equations; 1.2.1 The Equations; 1.2.1.1 Momentum equation; 1.2.1.2 Continuity equation; 1.2.1.3 First law of thermodynamics; 1.2.1.4 Equation of state; 1.2.1.5 Constituent equations; 1.2.2 Eulerian Form of the Equations; 1.2.2.1 Lagrangian and Eulerian time derivatives; 1.2.2.2 Prognostic and diagnostic variables; 1.2.3 Scale Analysis of the Momentum Equation; 1.2.3.1 Basics of scale analysis; 1.2.3.2 Estimation of the magnitude of spatial and temporal derivatives; 1.2.3.3 Scale analysis of the Coriolis force term |
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1.2.3.4 Scale analysis of the horizontal momentum equation1.2.3.5 Geostrophic wind; 1.2.3.6 Hydrostatic balance; 1.2.4 Diabatic Heating; 1.2.4.1 Basics of atmospheric radiation; 1.2.4.2 The vertical thermal structure of the atmosphere; 1.2.5 Atmospheric Constituents; 1.2.5.1 Water vapor; 1.2.5.2 Ozone; 1.2.6 Boundary and Initial Conditions; 1.2.6.1 Bottom boundary conditions; 1.2.6.2 Top boundary conditions; 1.2.6.3 Lateral boundary conditions; 1.2.6.4 Initial conditions; 1.3 Representation of the Location with Coordinates; 1.3.1 Spherical Coordinates |
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1.3.1.1 Vector calculus in a spherical coordinate system1.3.1.2 The governing equations for spherical coordinates; 1.3.1.3 Scale analysis of the components of the momentum equations in spherical coordinates; 1.3.1.4 Diagnostic calculations in spherical coordinate system; 1.3.2 Map Projections; 1.3.2.1 Map factor; 1.3.2.2 Mercator projection; 1.3.2.3 Polar-stereographic projection; 1.3.3 Cartesian Coordinates; 1.3.3.1 The system of governing equations; 1.3.3.2 Idealized studies; 1.4 Alternate Vertical Coordinates; 1.4.1 General Formulation; 1.4.1.1 Transformation formulas |
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1.4.1.2 Transformation of the wind vector1.4.1.3 Bottom boundary condition; 1.4.1.4 Top boundary condition; 1.4.2 Pressure Vertical Coordinate; 1.4.2.1 The role of hydrostatic balance; 1.4.2.2 The governing equations; 1.4.2.3 Extension to the non-hydrostatic case: hydrostatic pressure vertical coordinate; 1.4.2.4 Atmospheric data sets; 1.4.2.5 The computation of and the concept of atmospheric balance; 1.4.2.6 The geopotential height field; 1.4.3 Sigma Vertical Coordinate; 1.4.4 Isentropic Vertical Coordinate; 1.4.4.1 Potential temperature and entropy; 1.4.4.2 Static stability |
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1.4.4.3 Phenomenology1.4.4.4 The equations for the isentropic vertical coordinate; 1.4.5 Hybrid Vertical Coordinates; 1.4.5.1 General formulation; 1.4.6 Pseudo-Height and Log-Pressure Vertical Coordinates; 1.4.6.1 General definition of the pseudo-height; 1.4.6.2 Conventional definitions of pseudo-height; 1.4.6.3 Log-pressure vertical coordinate; 1.5 Vorticity and Divergence Equations; 1.5.1 Vorticity, Absolute Vorticity and Divergence; 1.5.2 Vorticity Equations; 1.5.2.1 Three-dimensional vorticity equation; 1.5.2.2 Incompressible flow; 1.5.2.3 Two-dimensional vorticity equation |
| Summary |
"This book offers an overview of advanced techniques to study atmospheric dynamics by numerical experimentation. It is primarily intended for scientists and graduate students working on interdisciplinary research problems at the intersection of the atmospheric sciences, applied mathematics, statistics and physics. Scientists interested in adopting techniques from the atmospheric sciences to study other complex systems may also find most of the topics covered in the book interesting. The specific techniques covered in the book have either proven or potential value in solving practical problems of atmospheric dynamics"--Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Atmospheric physics -- Mathematical models
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SCIENCE -- Earth Sciences -- Geography.
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SCIENCE -- Earth Sciences -- Geology.
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Atmospheric physics -- Mathematical models
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| Form |
Electronic book
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| ISBN |
9789814335706 |
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9814335703 |
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