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Produktbild: Asymptotic Modeling of Atmospheric Flows

Asymptotic Modeling of Atmospheric Flows

Fr. 149.00

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

16.12.2011

Verlag

Springer Berlin

Seitenzahl

396

Maße (L/B/H)

23.5/15.5/2.3 cm

Gewicht

622 g

Auflage

Softcover reprint of the original 1st ed. 1990

Übersetzt von

Lesly Bry

Sprache

Englisch

ISBN

978-3-642-73802-9

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

16.12.2011

Verlag

Springer Berlin

Seitenzahl

396

Maße (L/B/H)

23.5/15.5/2.3 cm

Gewicht

622 g

Auflage

Softcover reprint of the original 1st ed. 1990

Übersetzt von

Lesly Bry

Sprache

Englisch

ISBN

978-3-642-73802-9

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Asymptotic Modeling of Atmospheric Flows
  • 1. Introduction.- 2. The Equations.- 2.1 The Euler Equations.- 2.1.1 Steady Flows.- 2.2 The Tangent Plane Approximation.- 2.3 The So-called ss-Plane Approximation.- 2.4 Different Forms of the Euler Equations.- 2.4.1 The Euler Equations for $$\bar u,\,\bar v,\,\bar w,\,\pi ,\,\omega ,\,{\rm{and}}\,\vartheta$$.- 2.4.2 The Euler Equations for $$\bar u,\,\bar v,\,\bar w,\,\bar \Pi ,\,{\rm{and}}\,\bar \theta$$.- 2.4.3 The So-called Primitive Equations.- 2.5 The Non-dimensional Non-adiabatic Equations.- 3. Internal Waves and Filtering.- 3.1 The Case of $$d{\bar T_\infty }/d{\bar z_\infty } \equiv 0$$. The Wave Equation.- 3.2 The Vertical Structure of the Internal Waves.- 3.3 Filtering.- 3.3.1 Quasi-static Filtering.- 3.3.2 Filtering of Waves with Frequency ?g q?s.- 3.3.3 “Boussinesq” Filtering.- 3.3.4 Isochoric Filtering (Quasi-Incompressible).- 3.3.5 Deep Convection Filtering (“Anelastic”).- 3.4 Conclusions and Bibliographical References.- 4. Rossby Waves.- 4.1 An Evolution Equation for Rossby Waves.- 4.2 Rossby Waves in Linear Theory.- 4.3 Rossby Waves in a So-called Barotropic Atmosphere.- 4.4 On the Problem of Hydrodynamic Instability.- 4.5 Conclusions and Bibliographical References.- 5. A Presentation of Asymptotic Methods.- 5.1 The Matched Asymptotic Expansions Method.- 5.2 The Multiple-Scale Method.- 6. Some Applications of the MMAE and MSM.- 6.1 Application of the MMAE to Adiabatic Flows with Small Kibel Numbers.- 6.2 Double-Scale Structure of the Boussinesq Waves: Linear Theory.- 6.3 Various Hydrostatic Limiting Processes.- 6.4 A Triple-Deck Structure Related Local Model.- 7. The Quasi-static Approximation.- 7.1 The Exact Quasi-static Equations.- 7.2 Asymptotic Analysis of the Primitive Equations.- 7.3 The Boundary Layer Phenomenon and the Primitive Equations.- 7.4 Simplified Primitive Equations.- 7.5 The Hydrostatic Balance Adjustment Problem (in an Adiabatic Atmosphere).- 7.6 Complementary Remarks 1.- 7.7 Complementary Remarks 2.- 8. The Boussinesq Approximation.- 8.1 The Boussinesq Equations.- 8.2 Some Considerations concerning the Singular Nature of the Boussinesq Approximation.- 8.3 Three New Forms of the Boussinesq Equations.- 8.3.1 Taking into Account the Shearing of a Basic Wind; the So-called Long Equation.- 8.3.2 Generalized Boussinesq-Type Equations.- 8.3.3 Quasi-static Boussinesq Equations; the Problem of Meso-scale Circulations.- 8.4 Concerning a Linear Theory of the Boussinesq Waves $$\left( {{\rm{Ro}}\not \equiv \infty } \right)$$.- 8.5 The Problem of Adjustment to the Boussinesq State.- 8.6 Complementary Remarks.- 9. The Isochoric Approximation.- 9.1 The Isochoric Equations.- 9.2 Some Considerations concerning the Singular Nature of the Isochoric Approximation.- 9.3 The Relation Between the Isochoric and Boussinesq Approximations.- 9.4 Wave Phenomena in the Isochoric Flows.- 9.4.1 The Long Wave Theory.- 9.4.2 The Short Wave Theory.- 9.4.3 Solitary Internal Waves.- 9.5 Complementary Remarks.- 10. The Deep Convection Approximation.- 10.1 The “Anelastic” Equations of Ogura and Phillips.- 10.2 The Deep Convection Equations According to Zeytounian.- 10.2.1 The Quasi-static Deep Convection Equations.- 10.2.2 A New Approach for the Derivation of the Deep Convection Equations (Case of the Adiabatic Atmosphere).- 10.3 The Relation Between the Boussinesq and the Deep Convection Approximations.- 10.4 Complementary Remarks.- 11. The Quasi-geostrophic and Ageostrophic Models.- 11.1 The Classical Quasi-geostrophic Model.- 11.2 The Adjustment to Geostrophy.- 11.3 The Ekman Steady Boundary Layer and the Ackerblom Problem.- 11.4 The So-called “Ageostrophic” Model.- 11.4.1 The Equation for the Ageostrophic Model.- 11.4.2 The Problem of the Unsteady Ekman Boundary Layer. Adjustment to the Ackerblom Model.- 11.4.3 The Problem of Adjustment to Ageostrophy.- 11.4.4 The Second Approximation Steady Ekman Problem.- 11.5 Complementary Remarks.- 12. Models Derived from the Theory of Low Mach Number Flows.- 12.1 The So-called Classical “Quasi-nondivergent” Model and Its Limitations.- 12.1.1 Analysis of Singularities Related to the Monin-Charney Limiting Process.- 12.2 The Generalized Quasi-nondivergent Model and Its Limitations.- 12.3 Analysis of Guiraud and Zeytounian’s Recent Results.- 12.4 The Problem of Adjustment to the Quasi-nondivergent Flow.- 12.5 Complementary Remarks.- 13. The Models for the Local and Regional Scale Atmospheric Flows.- 13.1 The Free Circulation Models.- 13.1.1 Inner Degeneracies.- 13.1.2 Outer Degeneracies.- 13.1.3 Matching. Formulation of the Free Circulation Problem.- 13.2 The Models for the Asymptotic Analysis of Lee Waves.- 13.2.1 Emergence of the Vertical Structure. Condition for z ? +?.- 13.2.2 The General Requirement for Trapped Lee Waves.- 13.2.3 Non-linear Models for Two-Dimensional Steady Lee Waves.- 13.2.4 Asymptotic Interpretation of the Long Model in the Troposphere.- 13.2.5 Asymptotic Representation of Three-Dimensional Linearized Lee Waves in the Lower Atmosphere.- 13.3 Modeling of the Interaction Phenomenon Between Free and Forced Circulations.- 13.3.1 Formulation of the Regional Boundary Layer Problem.- 13.3.2 The Interaction Model.- 13.4 Complementary Remarks.- 13.4.1 A Model for the Local Winds of Slopes and Valleys.- 13.4.2 Double Layer Periodic Slope (or Valley) Winds.- 13.4.3 Low Mach Number Flow over a Relief.- 13.4.4 Asymptotic Formulation of the Rayleigh-Bénard Problem via the Boussinesq Approximation for Expansible Liquids.- Appendix. The Hydrostatic Forecasting Equations for Large-Synoptic-Scale Atmospheric Processes.- A.1 The Governing Equations.- A.2 The Hydrostatic Model Equations.- A.3 The Large-Scale, Synoptic, Boundary Layer Equations.- References.