ALBERT

Note: Zugl.: Greifswald, Univ., Diss., 2005

Note: Zugl.: München,Univ. der Bundeswehr, Diss., 2005

Note: Contents Acknowledgments Chapter 1. Introduction 1.1 Discovery 1.2 General Introduction 1.3 Just for Fun — An Isotope Biography of Mr. Polychaete Chapter 2. Isotope Notation and Measurement Overview 2.1 The Necessary Minimum for Ecologists 2.2 Why Use the 5 Notation? 2.3 Why Is 8 a Good Substitute for % Heavy Isotope? 2.4 8 and the Ratio-of-Ratios 2.5 Chapter Summary Chapter 3. Using Stable Isotope Tracers Overview 3.1 Isotope Circulation in the Biosphere 3.2 Landscape Ecology and Isotope Maps 3.3 Community Ecology and Invasive Species in Food Webs 3.4 Life History Ecology and Animal Migrations 3.5 Plants, Microbes, and Scaling Up 3.6 Chapter Summary Chapter 4. Isotope Chi ("I Chi") Overview 4.1 Chocolate Isotopes 4.2 Oxygen in the Sea 4.3 Equations for Isotope Chi ("I Chi") 4.4 Building an I Chi Gain-Loss Model, Step by Step 4.5 Errors in I Chi Models 4.6 Exact Equations for I Chi Models 4.7 Cows in a Pasture 4.8 Chapter Summary Chapter 5. Mixing Overview 5.1 Isotope Mixing in Food Webs 5.2 Isotope Sourcery 5.3 Mixing Mechanics 5.4 Advanced Mixing Mechanics 5.5 Mixing Assumptions and Errors or the Art and Wisdom of Using Isotope Mixing Models 5.6 River Sulfate and Mass-Weighted Mixing 5.7 A Special Muddy Case and Mixing Through Time 5.8 The Qualquan Chronicles and Mixing Across Landscapes 5.9 Dietary Mixing, Turnover, and a Stable Isotope Clock 5.10 Chapter Summary Chapter 6. Isotope Additions Overview 6.1 Addition Addiction 6.2 The Golden Spike Award for Isotopes 6.3 Chapter Summary Chapter 7. Fractionation Overview 7.1 Fractionation Fundamentals 7.2 Isotopium and Fractionation in Closed Systems 7.3 A Strange and Routine Case 7.4 A Genuine Puzzle — Fractionation or Mixing? 7.5 Cracking the Closed Systems 7.6 Equilibrium Fractionation, Subtle Drama in the Cold 7.7 A Supply/Demand Model for Open System Fractionation 7.8 Open System Fractionation and Evolution of the Earth's Sulfur Cycle 7.9 Open System Legacies 7.10 Conducting Fractionation Experiments 7.11 Chapter Summary Chapter 8. Scanning the Future Overview 8.1 The Isotope Scanner 8.2 Mangrove Maude 8.3 The Beginner's Advantage—Imagine! 8.4 Chapter Summary Appendix. Important Isotope Equations and Useful Conversions Index Supplemental Electronic Materials on the Accompanying CD A. Chapter 1 Color Figures and Cartoon Problems B. Chapter 2 Color Figures and Cartoon Problems Technical Supplement 2A: Measuring Spiked Samples Technical Supplement 2B: Ion Corrections Technical Supplement 2C: The Ratio Notation and The Power of 1 C. Chapter 3 Color Figures and Cartoons Problems D. Chapter 4 Color Figures and Cartoons Problems I Chi Spreadsheets E. Chapters 5 Color Figures and Cartoons Problems I Chi Spreadsheets F. Chapter 6 Color Figure and Cartoon Problems I Chi Spreadsheet Technical Supplement 6A: How Much Isotope Should I Add? Technical Supplement 6B: Noisy Data and Data Analysis with Enriched Samples G. Chapter 7 Color Figures and Cartoons Problems I Chi Spreadsheets Technical Supplement 7A: A Chemist's View of Isotope Effects Technical Supplement 7B: Derivations of Closed System Isotope Equations H. Chapter 8 Color Figures and Cartoons Problems I. All Problems for Chapters 1-8 J. All Answers to Problems for Chapters 1-8 K. All Figures and Cartoons L. All I Chi Spreadsheets M. A Reading List

Note: Contents 1. Introduction 1.1 Historical Background 1.2 Some Examples of Spectral Methods 1.2.1 A Fourier Galerkin Method for the Wave Equation 1.2.2 A Chebyshev Collocation Method for the Heat Equation 1.2.3 A Legendre Galerkin with Numerical Integration (G-NI) Method for the Advection-Diffusion-Reaction Equation 1.2.4 A Legendre Tau Method for the Poisson Equation 1.2.5 Basic Aspects of Galerkin, Collocation, G-NI and Tau Methods 1.3 Three-Dimensional Applications in Fluids: A Look Ahead 2. Polynomial Approximation 2.1 The Fourier System 2.1.1 The Continuous Fourier Expansion 2.1.2 The Discrete Fourier Expansion 2.1.3 Differentiation 2.1.4 The Gibbs Phenomenon 2.2 Orthogonal Polynomials in (−1, 1) 2.2.1 Sturm-Liouville Problems 2.2.2 Orthogonal Systems of Polynomials 2.2.3 Gauss-Type Quadratures and Discrete Polynomial Transforms 2.3 Legendre Polynomials 2.3.1 Basic Formulas 2.3.2 Differentiation 2.3.3 Orthogonality, Diagonalization and Localization 2.4 Chebyshev Polynomials 2.4.1 Basic Formulas 2.4.2 Differentiation 2.5 Jacobi Polynomials 2.6 Approximation in Unbounded Domains 2.6.1 Laguerre Polynomials and Laguerre Functions 2.6.2 Hermite Polynomials and Hermite Functions 2.7 Mappings for Unbounded Domains 2.7.1 Semi-Infinite Intervals 2.7.2 The Real Line 2.8 Tensor-Product Expansions 2.8.1 Multidimensional Mapping 2.9 Expansions on Triangles and Related Domains 2.9.1 Collapsed Coordinates and Warped Tensor-Product Expansions 2.9.2 Non-Tensor-Product Expansions 2.9.3 Mappings 3. Basic Approaches to Constructing Spectral Methods 3.1 Burgers Equation 3.2 Strong and Weak Formulations of Differential Equations 3.3 Spectral Approximation of the Burgers Equation 3.3.1 Fourier Galerkin 3.3.2 Fourier Collocation 3.3.3 Chebyshev Tau 3.3.4 Chebyshev Collocation 3.3.5 Legendre G-NI 3.4 Convolution Sums 3.4.1 Transform Methods and Pseudospectral Methods 3.4.2 Aliasing Removal by Padding or Truncation 3.4.3 Aliasing Removal by Phase Shifts 3.4.4 Aliasing Removal for Orthogonal Polynomials 3.5 Relation Between Collocation, G-NI and Pseudospectral Methods 3.6 Conservation Forms 3.7 Scalar Hyperbolic Problems 3.7.1 Enforcement of Boundary Conditions 3.7.2 Numerical Examples 3.8 Matrix Construction for Galerkin and G-NI Methods 3.8.1 Matrix Elements 3.8.2 An Example of Algebraic Equivalence between G-NI and Collocation Methods 3.9 Polar Coordinates 3.10 Aliasing Effects 4. Algebraic Systems and Solution Techniques 4.1 Ad-hoc Direct Methods 4.1.1 Fourier Approximations 4.1.2 Chebyshev Tau Approximations 4.1.3 Galerkin Approximations 4.1.4 Schur Decomposition and Matrix Diagonalization 4.2 Direct Methods 4.2.1 Tensor Products of Matrices 4.2.2 Multidimensional Stiffness and Mass Matrices 4.2.3 Gaussian Elimination Techniques 4.3 Eigen-Analysis of Spectral Derivative Matrices 4.3.1 Second-Derivative Matrices 4.3.2 First-Derivative Matrices 4.3.3 Advection-Diffusion Matrices 4.4 Preconditioning 4.4.1 Fundamentals of Iterative Methods for Spectral Discretizations 4.4.2 Low-Order Preconditioning of Model Spectral Operators in One Dimension 4.4.3 Low-Order Preconditioning in Several Dimensions 4.4.4 Spectral Preconditioning 4.5 Descent and Krylov Iterative Methods for Spectral Equations 4.5.1 Multidimensional Matrix-Vector Multiplication 4.5.2 Iterative Methods 4.6 Spectral Multigrid Methods 4.6.1 One-Dimensional Fourier Multigrid Model Problem 4.6.2 General Spectral Multigrid Methods 4.7 Numerical Examples of Direct and Iterative Methods 4.7.1 Fourier Collocation Discretizations 4.7.2 Chebyshev Collocation Discretizations 4.7.3 Legendre G-NI Discretizations 4.7.4 Preconditioners for Legendre G-NI Matrices 4.8 Interlude 5. Polynomial Approximation Theory 5.1 Fourier Approximation 5.1.1 Inverse Inequalities for Trigonometric Polynomials 5.1.2 Estimates for the Truncation and Best Approximation Errors 5.1.3 Estimates for the Interpolation Error 5.2 Sturm-Liouville Expansions 5.2.1 Regular Sturm-Liouville Problems 5.2.2 Singular Sturm-Liouville Problems 5.3 Discrete Norms 5.4 Legendre Approximations 5.4.1 Inverse Inequalities for Algebraic Polynomials 5.4.2 Estimates for the Truncation and Best Approximation Errors 5.4.3 Estimates for the Interpolation Error 5.4.4 Scaled Estimates 5.5 Chebyshev Approximations 5.5.1 Inverse Inequalities for Polynomials 5.5.2 Estimates for the Truncation and Best Approximation Errors 5.5.3 Estimates for the Interpolation Error 5.6 Proofs of Some Approximation Results 5.7 Other Polynomial Approximations 5.7.1 Jacobi Polynomials 5.7.2 Laguerre and Hermite Polynomials 5.8 Approximation in Cartesian-Product Domains 5.8.1 Fourier Approximations 5.8.2 Legendre Approximations 5.8.3 Mapped Operators and Scaled Estimates 5.8.4 Chebyshev and Other Jacobi Approximations 5.8.5 Blended Trigonometric and Algebraic Approximations 5.9 Approximation in Triangles and Related Domains 6. Theory of Stability and Convergence 6.1 Three Elementary Examples Revisited 6.1.1 A Fourier Galerkin Method for the Wave Equation 6.1.2 A Chebyshev Collocation Method for the Heat Equation 6.1.3 A Legendre Tau Method for the Poisson Equation 6.2 Towards a General Theory 6.3 General Formulation of Spectral Approximations to Linear Steady Problems 6.4 Galerkin, Collocation, G-NI and Tau Methods 6.4.1 Galerkin Methods 6.4.2 Collocation Methods 6.4.3 G-NI Methods 6.4.4 Tau Methods 6.5 General Formulation of Spectral Approximations to Linear Evolution Problems 6.5.1 Conditions for Stability and Convergence: The Parabolic Case 6.5.2 Conditions for Stability and Convergence: The Hyperbolic Case 6.6 The Error Equation 7. Analysis of Model Boundary-Value Problems 7.1 The Poisson Equation 7.1.1 Legendre Methods 7.1.2 Chebyshev Methods 7.1.3 Other Boundary-Value Problems 7.2 Singularly Perturbed Elliptic Equations 7.2.1 Stabilization of Spectral Methods 7.3 The Eigenvalues of Some Spectral Operators 7.3.1 The Discrete Eigenvalues for Lu = −uxx 7.3.2 The Discrete Eigenvalues for Lu = −νuxx + βux 7.3.3 The Discrete Eigenvalues for Lu = ux 7.4 The Preconditioning of Spectral Operators 7.5 The Heat Equation 7.6 Linear Hyperbolic Equations 7.6.1 Periodic Boundary Conditions 7.6.2 Nonperiodic Boundary Conditions 7.6.3 The Resolution of the Gibbs Phenomenon 7.6.4 Spectral Accuracy for Non-Smooth Solutions 7.7 Scalar Conservation Laws 7.8 The Steady Burgers Equation Appendix A. Basic Mathematical Concepts A.1 Hilbert and Banach Spaces A.2 The Cauchy-Schwarz Inequality A.3 Linear Operators Between Banach Spaces A.4 The Fr´echet Derivative of an Operator A.5 The Lax-Milgram Theorem A.6 Dense Subspace of a Normed Space A.7 The Spaces Cm(Ω), m ≥ 0 A.8 Functions of Bounded Variation and the Riemann(-Stieltjes) Integral A.9 The Lebesgue Integral and Lp-Spaces A.10 Infinitely Differentiable Functions and Distributions A.11 Sobolev Spaces and Sobolev Norms A.12 The Sobolev Inequality A.13 The Poincar´e Inequality A.14 The Hardy Inequality A.15 The Gronwall Lemma Appendix B. Fast Fourier Transforms Appendix C. Iterative Methods for Linear Systems C.1 A Gentle Approach to Iterative Methods C.2 Descent Methods for Symmetric Problems C.3 Krylov Methods for Nonsymmetric Problems Appendix D. Time Discretizations D.1 Notation and Stability Definitions D.2 Standard ODE Methods D.2.1 Leap Frog Method D.2.2 Adams-Bashforth Methods D.2.3 Adams-Moulton Methods D.2.4 Backwards-Difference Formulas D.2.5 Runge-Kutta Methods D.3 Integrating Factors D.4 Low-Storage Schemes References Index

Note: Contents: 1. Introduction. 2. RC Filter. 3. General linear time invariant systems. 4. The seismometer. 5. The sampling process. 6. Analog-to-digital conversion. 7. From infinitely continuous to finite discrete. 8. The digital anti-alias filter. 9. Inverse and simulation filtering of digital seismograms. 10. The measurement of wavelet parameters from digital seismograms. References. Appendix: Solution to problems.

Note: Text. engl. und russ. - Teilw. in kyrill. Schr.

Note: CONTENTS: Preface to the Second Edition. - Preface to the First Edition. - 1 The Atmosphere. - 1.1 History and Evolution of the Earth's Atmosphere. - 1.2 Climate. - 1.3 The Layers of the Atmosphere. - 1.4 Pressure in the Atmosphere. - 1.4.1 Units of Pressure. - 1.4.2 Variation of Pressure with Height in the Atmosphere. - 1.5 Temperature in the Atmosphere. - 1.6 Expressing the Amount of a Substance in the Atmosphere. - 1.7 Spatial and Temporal Scales of Atmospheric Processes. - Problems. - References. - 2 Atmospheric Trace Constituents. - 2.1 Atmospheric Lifetime. - 2.2 Sulfur-Containing Compounds. - 2.2.1 Dimethyl Sulfide (CH3SCH3). - 2.2.2 Carbonyl Sulfide (OCS). - 2.2.3 Sulfur Dioxide (SO2). - 2.3 Nitrogen-Containing Compounds. - 2.3.1 Nitrous Oxide (N2O). - 2.3.2 Nitrogen Oxides (NO* = NO + NO2). - 2.3.3 Reactive Odd Nitrogen (NOy). - 2.3.4 Ammonia (NH3). - 2.4 Carbon-Containing Compounds. - 2.4.1 Classification of Hydrocarbons. - 2.4.2 Methane. - 2.4.3 Volatile Organic Compounds. - 2.4.4 Biogenic Hydrocarbons. - 2.4.5 Carbon Monoxide. - 2.4.6 Carbon Dioxide. - 2.5 Halogen-Containing Compounds. - 2.5.1 Methyl Chloride (CH3C1). - 2.5.2 Methyl Bromide (CH3Br). - 2.6 Atmospheric Ozone. - 2.7 Particulate Matter (Aerosols). - 2.7.1 Stratospheric Aerosol. - 2.7.2 Chemical Components of Tropospheric Aerosol. - 2.7.3 Cloud Condensation Nuclei (CCN). - 2.7.4 Sizes of Atmospheric Particles. - 2.7.5 Sources of Atmospheric Paniculate. - 2.7.6 Carbonaceous Particles. - 2.7.7 Mineral Dust. - 2.8 Emission Inventories. - 2.9 Biomass Burning. - Appendix 2.1 Air Pollution Legislation. - Appendix 2.2 Hazardous Air Pollutants (Air Toxics). - Problems. - References. - 3 Chemical Kinetics. - 3.1 Order of Reaction. - 3.2 Theories of Chemical Kinetics. - 3.2.1 Collision Theory. - 3.2.2 Transition State Theory. - 3.2.3 Potential Energy Surface for a Bimolecular Reaction. - 3.3 The Pseudo-Steady-State Approximation. - 3.4 Reactions of Excited Species. - 3.5 Termolecular Reactions. - 3.6 Chemical Families. - 3.7 Gas-Surface Reactions. - Appendix 3 Free Radicals. - Problems. - References. - 4 Atmospheric Radiation and Photochemistry. - 4.1 Radiation. - 4.1.1 Solar and Terrestrial Radiation. - 4.1.2 Energy Balance for Earth and Atmosphere. - 4.1.3 Solar Variability. - 4.2 Radiative Flux in the Atmosphere. - 4.3 Beer-Lambert Law and Optical Depth. - 4.4 Actinic Flux. - 4.5 Atmospheric Photochemistry. - 4.6 Absorption of Radiation by Atmospheric Gases. - 4.7 Absorption by O2 and O3 122. - 4.8 Photolysis Rate as a Function of Altitude. - 4.9 Photodissociation of O3 to Produce O and O(1D). - 4.10 Photodissociation of NO2. - Problems. - References. - 5 Chemistry of the Stratosphere. - 5.1 Overview of Stratospheric Chemistry. - 5.2 Chapman Mechanism. - 5.3 Nitrogen Oxide Cycles. - 5.3.1 Stratospheric Source of NO* from N2O. - 5.3.2 NO* Cycles. - 5.4 HO* Cycles. - 5.5 Halogen Cycles. - 5.5.1 Chlorine Cycles. - 5.5.2 Bromine Cycles. - 5.6 Reservoir Species and Coupling of the Cycles. - 5.7 Ozone Hole. - 5.7.1 Polar Stratospheric Clouds. - 5.7.2 PSCs and the Ozone Hole. - 5.7.3 Arctic Ozone Hole. - 5.8 Heterogeneous (Nonpolar) Stratospheric Chemistry. - 5.8.1 The Stratospheric Aerosol Layer. - 5.8.2 Heterogeneous Hydrolysis of N2O5. - 5.8.3 Effect of Volcanoes on Stratospheric Ozone. - 5.9 Summary of Stratospheric Ozone Depletion. - 5.10 Transport and Mixing in the Stratosphere. - 5.11 Ozone Depletion Potential. - Problems. - References. - 6 Chemistry of the Troposphere. - 6.1 Production of Hydroxyl Radicals in the Troposphere. - 6.2 Basic Photochemical Cycle of NO2, NO, and O3. - 6.3 Atmospheric Chemistry of Carbon Monoxide. - 6.3.1 Low NO* Limit. - 6.3.2 High NO* Limit. - 6.3.3 Ozone Production Efficiency. - 6.3.4 Theoretical Maximum Yield of Ozone from CO Oxidation. - 6.4 Atmospheric Chemistry of Methane. - 6.5 The NO* and NOy, Families. - 6.5.1 Daytime Behavior. - 6.5.2 Nighttime Behavior. - 6.6 Ozone Budget of the Troposphere and Role of NO*. - 6.6.1 Ozone Budget of the Troposphere. - 6.6.2 Role of NO*. - 6.7 Tropospheric Reservoir Molecules. - 6.7.1 H2O2, CH3OOH, and HONO. - 6.7.2 Peroxyacyl Nitrates (PANs). - 6.8 Relative Roles of VOC and NOx in Ozone Formation. - 6.8.1 Importance of the VOC/NOx Ratio. - 6.8.2 Ozone Isopleth Plot. - 6.9 Simplified Organic/NOx Chemistry. - 6.10 Chemistry of Nonmethane Organic Compounds in the Troposphere. - 6.10.1 Alkanes. - 6.10.2 Alkenes. - 6.10.3 Aromatics. - 6.10.4 Aldehydes. - 6.10.5 Ketones. - 6.10.6 α, β-Unsaturated Carbonyls. - 6.10.7 Ethers. - 6.10.8 Alcohols. - 6.11 Atmospheric Chemistry of Biogenic Hydrocarbons. - 6.12 Atmospheric Chemistry of Reduced Nitrogen Compounds. - 6.12.1 Amines. - 6.12.2 Nitriles. - 6.12.3 Nitrites. - 6.13 Atmospheric Chemistry (Gas Phase) of Sulfur Compounds. - 6.13.1 Sulfur Oxides. - 6.13.2 Reduced Sulfur Compounds (Dimethyl Sulfide). - 6.14 Tropospheric Chemistry of Halogen Compounds. - 6.14.1 Chemical Cycles of Halogen Species. - 6.14.2 Tropospheric Chemistry of CFC Replacements: Hydrofluorocarbons (HFCs) and Hydrochlorofluorocarbons (HCFCs). - Problems. - References. - 7 Chemistry of the Atmospheric Aqueous Phase. - 7.1 Liquid Water in the Atmosphere. - 7.2 Absorption Equilibria and Henry's Law. - 7.3 Aqueous-Phase Chemical Equilibria. - 7.3.1 Water. - 7.3.2 Carbon Dioxide-Water Equilibrium. - 7.3.3 Sulfur Dioxide-Water Equilibrium. - 7.3.4 Ammonia-Water Equilibrium. - 7.3.5 Nitric Acid-Water Equilibrium. - 7.3.6 Equilibria of Other Important Atmospheric Gases. - 7.4 Aqueous-Phase Reaction Rates. - 7.5 S(IV)-S(VI) Transformation and Sulfur Chemistry. - 7.5.1 Oxidation of S(IV) by Dissolved O3. - 7.5.2 Oxidation of S(IV) by Hydrogen Peroxide. - 7.5.3 Oxidation of S(IV) by Organic Peroxides. - 7.5.4 Uncatalyzed Oxidation of S(IV) by O2. - 7.5.5 Oxidation of S(IV) by O2 Catalyzed by Iron and Manganese. - 7.5.6 Comparison of Aqueous-Phase S(IV) Oxidation Paths. - 7.6 Dynamic Behavior of Solutions with Aqueous-Phase Chemical Reactions. - 7.6.1 Closed System. - 7.6.2 Calculation of Concentration Changes in a Droplet with Aqueous-Phase Reactions. - Appendix 7.1 Thermodynamic and Kinetic Data. - Appendix 7.2 Additional Aqueous-Phase Sulfur Chemistry. - 7.A.1 S(IV) Oxidation by the OH Radical. - 7.A.2 Oxidation of S(IV) by Oxides of Nitrogen. - 7.A.3 Reaction of Dissolved SO2 with HCHO. - Appendix 7.3 Aqueous-Phase Nitrite and Nitrate Chemistry. - 7.A.4 NOx Oxidation. - 7.A.5 Nitrogen Radicals. - Appendix 7.4 Aqueous-Phase Organic Chemistry. - Appendix 7.5 Oxygen and Hydrogen Chemistry. - Problems. - References. - 8 Properties of the Atmospheric Aerosol. - 8.1 The Size Distribution Function. - 8.1.1 The Number Distribution nN(Dp). - 8.1.2 The Surface Area, Volume, and Mass Distributions. - 8.1.3 Distributions Based on In Dp and log Dp. - 8.1.4 Relating Size Distributions Based on Different Independent Variables. - 8.1.5 Properties of Size Distributions. - 8.1.6 The Lognormal Distribution. - 8.1.7 Plotting the Lognormal Distribution. - 8.1.8 Properties of the Lognormal Distribution. - 8.2 Ambient Aerosol Size Distributions. - 8.2.1 Urban Aerosols. - 8.2.2 Marine Aerosols. - 8.2.3 Rural Continental Aerosols. - 8.2.4 Remote Continental Aerosols. - 8.2.5 Free Tropospheric Aerosols. - 8.2.6 Polar Aerosols. - 8.2.7 Desert Aerosols. - 8.3 Aerosol Chemical Composition. - 8.4 Spatial and Temporal Variation. - 8.5 Vertical Variation. - Problems. - References. - 9 Dynamics of Single Aerosol Particles. - 9.1 Continuum and Noncontinuum Dynamics: The Mean Free Path. - 9.2 The Drag on a Single Particle: Stokes' Law. - 9.2.1 Corrections to Stokes' Law: The Drag Coefficient. - 9.2.2 Stokes' Law and Noncontinuum Effects: Slip Correction Factor. - 9.3 Gravitational Settling of an Aerosol Particle. - 9.4 Motion of an Aerosol Particle in an External Force Field. - 9.5 Brownian Motion of Aerosol Particles. - 9.5.1 Particle Diffusion. - 9.5.2 Aerosol Mobility and Drift Velocity. - 9.5.3 Mean Free Path of an Aerosol Particle. - 9.6 Aer

Note: CONTENTS: Preface. - Abstract. - Introduction. - Initial theoretical considerations. - Light attenuation by particles. - Basis of attenuation meter measurements. - Contrast reduction and visual range. - Transmissometer theory, Pritchard photometric method. - Terminal velocity of snowflakes. - Methods of measurement: Light attenuation. - Duntley (Scripps Institution) attenuation meter. - "Meteorological range" observations. - Pritchard photometric method. - Methods of measurement: Atmospheric concentration of snowflakes. - Replication method. - Mass accumulation method. - Analysis of snow samples. - Terminal velocity of snowflakes. - Flux density and atmospheric concentration. - Mass accumulation rate. - Concurrent attenuation due to fog. - Discussion of results. - Computational methods. - Correlations: Attenuation coefficient vs area concentration. - Correlations: Attenuation coefficient vs are a flux. - Correlations: Attenuation coefficient vs mass concentration and mass flux. - Comparison of sampling methods for mass flux. - Attenuation of visible light by snow compared to rain. - Literature cited. - Appendix A.

Note: Contents Preface Part I Anatomy of a cyclone 1 Anatomy of a cyclone 1.1 A 'typical' extra-tropical cyclone 1.2 Describing the atmosphere 1.3 Air masses and fronts 1.4 The structure of a typical extra-tropical cyclone Review questions 2 Mathematical methods in fluid dynamics 2.1 Scalars and vectors 2.2 The algebra of vectors 2.3 Scalar and vector fields 2.4 Coordinate systems on the Earth 2.5 Gradients of vectors 2.6 Line and surface integrals 2.7 Eulerian and Lagrangian frames of reference 2.8 Advection Review questions 3 Properties of fluids 3.1 Solids, liquids, and gases 3.2 Thermodynamic properties of air 3.3 Composition of the atmosphere 3.4 Static stability 3.5 The continuum hypothesis 3.6 Practical assumptions 3.7 Continuity equation Review questions 4 Fundamental forces 4.1 Newton's second law: F=ma 4.2 Body, surface, and line forces 4.3 Forces in an inertial reference frame 4.4 Forces in a rotating reference frame 4.5 The Navier-Stokes equations Review questions 5 Scale analysis 5.1 Dimensional homogeneity 5.2 Scales 5.3 Non-dimensional parameters 5.4 Scale analysis 5.5 The geostrophic approximation Review questions 6 Simple steady motion 6.1 Natural coordinate system 6.2 Balanced flow 6.3 The Boussinesq approximation 6.4 The thermal wind 6.5 Departures from balance Review questions 7 Circulation and vorticity 7.1 Circulation 7.2 Vorticity 7.3 Conservation of potential vorticity 7.4 An introduction to the vorticity equation Review questions 8 Simple wave motions 8.1 Properties of waves 8.2 Perturbation analysis 8.3 Planetary waves Review questions 9 Extra-tropical weather systems 9.1 Fronts 9.2 Frontal cyclones 9.3 Baroclinic instability Review questions Part II Atmospheric phenomena 10 Boundary layers 10.1 Turbulence 10.2 Reynolds decomposition 10.3 Generation of turbulence 10.4 Closure assumptions Review questions 11 Clouds and severe weather 11.1 Moist processes in the atmosphere 11.2 Air mass thunderstorms 11.3 Multi-cell thunderstorms 11.4 Supercell thunderstorms and tornadoes 11.5 Mesoscale convective systems Review questions 12 Tropical weather 12.1 Scales of motion 12.2 Atmospheric oscillations 12.3 Tropical cyclones Review questions 13 Mountain weather 13.1 Internal gravity waves 13.2 Flow over mountains 13.3 Downslope windstorms Review questions 14 Polar weather 14.1 Katabatic winds 14.2 Barrier winds 14.3 Polar lows Review questions 15 Epilogue: the general circulation 15.1 Fueled by the Sun 15.2 Radiative-convective equilibrium 15.3 The zonal mean circulation 15.4 The angular momentum budget 15.5 The energy cycle Appendix A - symbols Appendix Β - constants and units Bibliography Index