ALBERT

Note: Zugl.: Bremen, Univ., Diss., 2006

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: Zugl.: Bremen, Univ., Diss., 2006

Note: Contents: Preface. - 1 Overview. - 1.1 Introduction. - 1.2 Definitions of atmospheric scales. - 1.3 Energy generation and scale interactions. - 1.4 Predictability. - References. - 2 Governing equations for mesoscale motions. - 2.1 Introduction. - 2.2 Derivation of the governing equations. - 2.3 Approximations to the governing equations. - References. - Problems. - 3 Basic wave dynamics. - 3.1 Introduction. - 3.2 Basic wave properties. - 3.3 Soundwaves. - 3.4 Shallow water waves. - 3.5 Pure gravity waves. - 3.6 Inertia-gravity waves. - 3.7 Wave reflection levels. - 3.8 Critical levels. - Appendix 3.1. - References. - Problems. - 4 Mesoscale wave generation and maintenance. - 4.1 Introduction. - 4.2 Wave generation mechanisms. - 4.2.1 Density impulses and moist convection. - 4.2.2 Mesoscale instabilities. - 4.2.3 Geostrophic adjustment. - 4.2.4 Nonlinear interactions. - 4.3 Wave maintenance mechanisms. - 4.3.1 Linear wave ducting mechanism. - 4.3.2 Solitary wave mechanism. - 4.3.3 Wave-CISK mechanism. - 4.4 Energy propagation and momentum flux. - References. - Problems. - 5 Orographically forced flows. - 5.1 Flows over two-dimensional sinusoidal mountains. - 5.2 Flows over two-dimensional isolated mountains. - 5.2.1 Uniform basic flow. - 5.2.2 Basic flow with variable Scorer parameter. - 5.2.3 Trapped lee waves. - 5.3 Nonlinear flows over two-dimensional mountains. - 5.3.1 Nonlinear flow regimes. - 5.3.2 Generation of severe downslope winds. - 5.4 Flows over three-dimensional mountains. - 5.4.1 Linear theory. - 5.4.2 Generation of lee vortices. - 5.5 Flows over larger mesoscale mountains. - 5.5.1 Rotational effects. - 5.5.2 Lee cyclogenesis. - 5.5.3 Orographic influence on cyclone track. - 5.6 Other orographic effects. - 5.6.1 Effects on frontal passage. - 5.6.2 Coastally trapped disturbances. - 5.6.3 Cold-air damming. - 5.6.4 Gap flow. - Appendix 5.1. - References. - Problems. - 6 Thermally forced flows. - 6.1 Two-dimensional flows. - 6.1.1 Steady flows over a sinusoidal heat source. - 6.1.2 Steady flows over an isolated heat source. - 6.2 Transient flows. - 6.2.1 Flow responses to pulse heating. - 6.2.2 Flow responses to steady heating. - 6.3 Applications to mesoscale circulations. - 6.3.1 Density current formation and propagation. - 6.3.2 Heat island circulations. - 6.3.3 Moist convection. - 6.3.4 Gravity wave generation and propagation. - 6.4 Effects of shear, three dimensionality, and rotation. - 6.4.1 Two-dimensional shear flows. - 6.4.2 Three-dimensional nonrotating flows. - 6.4.3 Three-dimensional rotating flows. - 6.5 Dynamics of sea and land breezes. - 6.5.1 Linear theories. - 6.5.2 Nonlinear numerical studies. - 6.6 Dynamics of mountain-plains solenoidal circulations. - Appendix 6.1. - References. - Problems. - 7 Mesoscale instabilities. - 7.1 Wave energy transfer through instabilities. - 7.2 Integral theorems of stratified flow. - 7.2.1 Governing equations. - 7.2.2 Miles' theorem. - 7.2.3 Howard's semicircle theorem. - 7.3 Static, conditional, and potential instabilities. - 7.3.1 Static instability. - 7.3.2 Conditional instability. - 7.3.3 Potential instability. - 7.4 Kelvin-Helmholtz instability. - 7.5 Inertial instability. - 7.6 Symmetric instability. - 7.6.1 Dry symmetric instability. - 7.6.2 Moist symmetric instability. - 7.7 Baroclinic instability. - References. - Problems. - 8 Isolated convective storms. - 8.1 Dynamics of single-cell storms and downbursts. - 8.2 Dynamics of multicell storms. - 8.3 Effects of shear and buoyancy. - 8.3.1 Effects of shear on cold outflow. - 8.3.2 Effects of buoyancy. - 8.4 Dynamics of supercell storms. - 8.4.1 General characteristics. - 8.4.2 Effects of unidirectional shear. - 8.4.3 Storm splitting. - 8.4.4 Storm rotation and propagation. - 8.4.5 Effects of directional shear. - 8.5 Tornado dynamics. - 8.5.1 Supercell tornadogenesis. - 8.5.2 Nonsupercell tornadogenesis. - 8.5.3 Tornado vortex dynamics. - References. - Problems. - 9 Mesoscale convective systems. - 9.1 Squall lines and rainbands. - 9.1.1 Squall line classifications. - 9.1.2 Formation mechanisms. - 9.1.3 Maintenance mechanisms. - 9.1.4 Squall line movement. - 9.1.5 Rainbands. - 9.2 Mesoscale convective complexes. - 9.2.1 General characteristics. - 9.2.2 Formation and development mechanisms. - 9.3 Tropical cyclones. - 9.3.1 General characteristics. - 9.3.2 Tropical cyclogenesis. - 9.3.3 Intensity and mesoscale structure. - 9.3.4 Tropical cyclone movement. - References. - Problems. - 10 Dynamics of fronts and jet streaks. - 10.1 Kinematics of frontogenesis. - 10.2 Dynamics of two-dimensional frontogenesis. - 10.2.1 Geostrophic momentum approximation. - 10.2.2 Frontogenesis and cross-frontal circulations. - 10.3 Frontogenesis and baroclinic waves. - 10.4 Moist and frictional effects on frontogenesis. - 10.5 Other types of fronts. - 10.5.1 Upper-level frontogenesis. - 10.5.2 Drylines. - 10.6 Jet streak dynamics. - 10.6.1 Upper-level jet streaks. - 10.6.2 Low-level jets. - References. - Problems. - 11 Dynamics of orographic precipitation. - 11.1 Orographic influence on climatological distribution of precipitation. - 11.2 Orographic modification of preexisting disturbances. - 11.2.1 Passage of troughs. - 11.2.2 Passage of midlatitude cyclones and fronts. - 11.2.3 Passage of tropical cyclones. - 11.2.4 Common ingredients of orographic precipitation. - 11.3 Formation and enhancement mechanisms. - 11.3.1 Stable ascent mechanism. - 11.3.2 Release of moist instabilities. - 11.3.3 Effects of mountain geometry. - 11.3.4 Combined thermal and orographic forcing. - 11.3.5 Seeder-feeder mechanism. - 11.3.6 Dynamical-microphysical interaction mechanism. - 11.4 Control parameters and moist flow regimes. - 11.4.1 Control parameters. - 11.4.2 Moist flow regimes. - References. - 12 Basic numerical methods. - 12.1 Introduction. - 12.2 Finite difference approximations of derivatives. - 12.3 Finite difference approximations of the advection equation. - 12.3.1 Two-time-level schemes. - 12.3.2 Three-time-level schemes. - 12.4 Implicit schemes. - 12.5 Semi-Lagrangian methods. - Appendix 12.1. - References. - Problems. - Modeling projects. - 13 Numerical modeling of geophysical fluid systems. - 13.1 Grid systems and vertical coordinates. - 13.1.1 Grid systems. - 13.1.2 Vertical coordinates. - 13.2 Boundary conditions. - 13.2.1 Lateral boundary conditions. - 13.2.2 Upper boundary conditions. - 13.2.3 Lower boundary conditions. - 13.3 Initial conditions and data assimilation. - 13.4 Nonlinear aliasing and instability. - 13.5 Modeling a stratified fluid system. - 13.6 Predictability and ensemble forecasting. - References. - Problems. - Modeling project. - 14 Parameterizations of physical processes. - 14.1 Reynolds averaging. - 14.2 Parameterization of planetary boundary layer processes. - 14.2.1 Parameterization of the surface layer. - 14.2.2 Parameterization of the PBL. - 14.3 Parameterization of moist processes. - 14.3.1 Parameterization of microphysical processes. - 14.3.2 Cumulus parameterization. - 14.4 Parameterizations of radiative transfer processes. - 14.4.1 Introduction. - 14.4.2 Longwave radiation. - 14.4.3 Shortwave radiation. - References. - Problems. - Appendices. - A. List of symbols. - B. Nomenclature. - Index.

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

Note: Contents Preface PART I Framework of Climate Science CHAPTER 1 Overview of Climate Science Climate and Climate Change 1-1 Geologic Time Tools of Climate Science: Temperature Scales 1-2 How This Book Is Organized Development of Climate Science 1-3 How Scientists Study Climate Change Overview of the Climate System 1-4 Components of the Climate System 1-5 Climate Forcing 1-6 Climate System Responses 1-7 Time Scales of Forcing Versus Response 1-8 Differing Response Rates and Climate-System Interactions 1-9 Feedbacks in the Climate System Climate Interactions and Feedbacks: Positive and Negative Feedbacks CHAPTER 2 Climate Archives, Data, and Models Climate Archives, Dating, and Resolution 2-1 Types of Archives 2-2 Dating Climate Records 2-3 Climatic Resolution Climatic Data 2-4 Biotic Data 2-5 Geological and Geochemical Data Climate Models 2-6 Physical Climate Models 2-7 Geochemical Models PART II Tectonic-Scale Climate Change CHAPTER 3 CO2and Long-Term Climate Greenhouse Worlds Faint Young Sun Paradox Carbon Exchanges Between Rocks and the Atmosphere 3-1 Volcanic Input of Carbon from Rocks to the Atmosphere 3-2 Removal of CO2 from the Atmosphere by Chemical Weathering Climatic Factors That Control Chemical Weathering Is Chemical Weathering Earth’s Thermostat? 3-3 Greenhouse Role of Water Vapor Is Life the Ultimate Control on Earth’s Thermostat? 3-4 Gaia Hypothesis Looking Deeper into Climate Science: Organic Carbon Subcycle Was There a “Thermostat Malfunction”? A Snowball Earth? CHAPTER Plate Tectonics and Long-Term Climate Plate Tectonics 4-1 Structure and Composition of Tectonic Plates 4-2 Evidence of Past Plate Motions Polar Position Hypothesis 4-3 Glaciations and Continental Positions Since 500 Myr Ago Modeling Climate on the Supercontinent Pangaea 4-4 Input to the Model Simulation of Climate on Pangaea Looking Deeper into Climate Science: Brief Glaciation 440 Myr Ago 4-5 Output from the Model Simulation of Climate on Pangaea Tectonic Control of CO2 Input: BLAG Spreading-Rate Hypothesis 4-6 Control of CO2 Input by Seafloor Spreading 4-7 Initial Evaluation of the BLAG Spreading Rate Hypothesis Tectonic Control of CO2Removal: Uplift-Weathering Hypothesis 4-8 Rock Exposure and Chemical Weathering 4-9 Case Study: The Wind River Basin of Wyoming 4-10 Uplift and Chemical Weathering 4-11 Case Study: Weathering in the Amazon Basin 4-12 Weathering: Both a Climate Forcing and a Feedback? CHAPTER 5 Greenhouse Climate What Explains the Warmth 100 Myr Ago? 5-1 Model Simulations of the Cretaceous Greenhouse 5-2 What Explains the Data-Model Mismatch? 5-3 Relevance of Past Greenhouse Climate to the Future Sea Level Changes and Climate 5-4 Causes of Tectonic-Scale Changes in Sea Level 5-5 Effect of Changes in Sea Level on Climate Looking Deeper into Climate Science: Calculating Changes in Sea Level Asteroid Impact Large and Abrupt Greenhouse Episode near 50 Myr Ago CHAPTER 6 From Greenhouse to Icehouse: The Last 50 Million Years Global Climate Change Since 50 Myr Ago 6-1 Evidence from Ice and Vegetation 6-2 Evidence from Oxygen Isotope Measurements 6-3 Evidence from Mg/Ca Measurements Do Changes in Geography Explain the Cooling? 6-4 Gateway Hypothesis 6-5 Assessment of Gateway Changes Hypotheses Linked to Changes in CO2 6-6 Evaluation of the BLAG Spreading Rate Hypothesis 6-7 Evaluation of the Uplift Weathering Hypothesis Climate DebateTiming of the Uplift in Western North America Future Climate Change at Tectonic Scales Looking Deeper into Climate Science: Organic Carbon: Monterrey Hypothesis PART III Orbital-Scale Climate Change CHAPTER 7 Astronomical Control of Solar Radiation Earth’s Orbit Today 7-1 Earth’s Tilted Axis of Rotation and the Seasons 7-2 Earth’s Eccentric Orbit: Distance Between Earth and Sun Long-Term Changes in Earth’s Orbit 7-3 Changes in Earth’s Axial Tilt Through Time Tools of Climate Science: Cycles and Modulation 7-4 Changes in Earth’s Eccentric Orbit Through Time 7-5 Precession of the Solstices and Equinoxes Around Earth’s Orbit Looking Deeper into Climate Science: Earth’s Precession as a Sine Wave Changes in Insolation Received on Earth 7-6 Insolation Changes by Month and Season 7-7 Insolation Changes by Caloric Seasons Searching for Orbital-Scale Changes in Climatic Records 7-8 Time Series Analysis 7-9 Effects of Undersampling Climate Records 7-10 Tectonic-Scale Changes in Earth’s Orbit CHAPTER 8 Insolation Control of Monsoons Monsoon Circulations 8-1 Orbital-Scale Control of Summer Monsoons Orbital-Scale Changes in North African Summer Monsoons 8-2 “Stinky Muds” in the Mediteranean 8-3 Freshwater Diatoms in the Tropical Atlantic 8-4 Upwelling in the Equatorial Atlantic Orbital Monsoon Hypothesis: Regional Assessment 8-5 Cave Speleothems in China and Brazil 8-6 Phasing of Summer Monsoons Looking Deeper into Climate Science: Insolation-Driven Monsoon Responses: Chronometer for Tuning Monsoon Forcing Earlier in Earth’s History 8-7 Monsoons on Pangaea 200 Myr Ago 8-8 Joint Tectonic and Orbital Control of Monsoons CHAPTER 9 Insolation Control of Ice Sheets Milankovitch Theory: Orbital Control of Ice Sheets Modeling the Behavior of Ice Sheets 9-1 Insolation Control of Ice Sheet Size 9-2 Ice Sheets Lag Behind Summer Insolation Forcing 9-3 Delayed Bedrock Response Beneath Ice Sheets Looking Deeper into Climate Science: Ice Volume Response to Insolation 9-4 Full Cycle of Ice Growth and Decay 9-5 Ice Slipping and Calving Northern Hemisphere Ice Sheet History 9-6 Ice Sheet History: δ18O Evidence 9-7 Confirming Ice Volume Changes: Coral Reefs and Sea Level Is Milankovich’s Theory the Full Answer? Looking Deeper into Climate Science: Sea Level on Uplifting Islands CHAPTER 10 Orbital-Scale Changes in Carbon Dioxide and Methane Ice Cores 10-1 Drilling and Dating Ice Cores 10-2 Verifying Ice-Core Measurements of Ancient Air 10-3 Orbital-Scale Carbon Transfers: Carbon Isotopes Orbital-Scale Changes in CO2 10-4 Where Did the Missing Carbon Go? 10-5 δ13C Evidence of Carbon Transfer How Did the Carbon Get into the Deep Ocean? 10-6 Increased CO2 Solubility in Seawater 10-7 Biological Transfer from Surface Waters A Closer Look at Climate Science: Using δ13C to Measure Carbon Pumping 10-8 Changes in Deep-Water Circulation Orbital-Scale Changes in CH4 Orbital-Scale Climatic Roles: CO2and CH4 CHAPTER 11 Orbital-Scale Interactions, Feedbacks, and Unsolved Problems Climatic Responses Driven by the Ice Sheets Mystery of the 41,000-Year Glacial World 11-1 Did Insolation Really Vary Mainly at 41,000 Years? 11-2 Interhemispheric Cancellation of 23,000-Year Ice Volume Responses? 11-3 CO2 Feedback at 41,000 Years? Mystery of the ~100,000-Year Glacial World 11-4 How Is the Northern Ice Signal Transferred South? Why did the Northern Ice Sheets Vary at ~100,000 Years? Looking Deeper into Climate Science: Link Between Forcing and the Time Constants of Ice Response 11-5 Ice Interactions with Bedrock 11-6 Ice Interactions with the Local Environment 11-7 Ice Interactions with Greenhouse Gases PART IV Deglacial Climate Change CHAPTER 12 Last Glacial Maximum Glacial World: More Ice, Less Gas 12-1 Project CLIMAP: Reconstructing the Last Glacial Maximum 12-2 How Large Were the Ice Sheets? 12-3 Glacial Dirt and Winds Testing Model Simulations Against Biotic Data 12-4 COHMAP: Data-Model Comparisons 12-5 Pollen: Indicator of Climate on the Continents 12-6 Using Pollen for Data-Model Comparisons Data-Model Comparisons of Glacial Maximum Climates 12-7 Model Simulations of Glacial Maximum Climates 12-8 Climate Changes near the Northern Ice Sheets 12-9 Climate Changes far from the Northern Ice Sheets How Cold Were the Glacial Tropics? 12-10 Evidence for a Small Tropical Cooling 12-11 Evidence for a Large Tropical Cooling 12-12 Actual Cooling Was Medium-Small CHAPTER 13 Climate During and Since the Last Deglaciation Fire and Ice: Shift in the Balance of Power 13-1 When Did the Ice Sheets Melt? 13-2 Coral Reefs and Rising Sea Level 13-3 Glitches in the Deglaciation: Deglacial Two-Step To

Note: Contents: Preface to First Edition. - Preface to Second Edition. - Preface to Third Edition. - Acknowledgments. - Part I The Periglacial Domain. - 1 Introduction. - 1.1 The Periglacial Concept. - 1.2 Disciplinary Considerations. - 1.2.1 The Growth of Geocryology. - 1.2.2 The Changing Nature of Quaternary Science. - 1.2.3 Modern Periglacial Geomorphology. - 1.3 The Growth of Periglacial Knowledge. - 1.4 The Periglacial Domain. - 1.5 The Scope of Periglacial Geomorphology. - 1.5.1 Permafrost-Related Processes and Landforms. - 1.5.2 Azonal Processes and Landforms. - 1.5.3 Paleo-Environmental Reconstruction. - 1.5.4 Applied Periglacial Geomorphology. - Advanced Reading. - Discussion Topics. - 2 Periglacial Landscapes?. - 2.1 Introduction. - 2.2 Proglacial, Paraglacial or Periglacial?. - 2.3 Unglaciated Periglacial Terrain. - 2.3.1 Beaufort Plain, Northwest Banks Island, Arctic Canada. - 2.3.2 Barn Mountains, Northern Interior Yukon Territory, Canada. - 2.4 Relict Periglacial Landscapes. - 2.4.1 Chalk Uplands, Southern England and Northern France. - 2.4.2 Pine Barrens, Southern New Jersey, Eastern USA. - 2.5 Conclusions. - Advanced Reading. - Discussion Topics. - 3 Periglacial Climates. - 3.1 Boundary Conditions. - 3.2 Periglacial Climates. - 3.2.1 High Arctic Climates. - 3.2.2 Continental Climates. - 3.2.3 Qinghai-Xizang (Tibet) Plateau. - 3.2.4 Alpine Climates. - 3.2.5 Climates of Low Annual Temperature Range. - 3.2.6 Antarctica: A Special Case. - 3.3 Ground Climates. - 3.3.1 The n-Factor. - 3.3.2 The Thermal Offset. - 3.4 Periglacial Climates and the Cryosphere. - Advanced Reading. - Discussion Topics. - Part II Present-Day Periglacial Environments. - 4 Cold-Climate Weathering. - 4.1 Introduction. - 4.2 Ground Freezing. - 4.2.1 The Freezing Process. - 4.2.2 Ice Segregation. - 4.2.3 The Frozen Fringe. - 4.2.4 Frost Heave. - 4.3 Freezing and Thawing. - 4.4 The Ground-Temperature Regime. - 4.4.1 The Seasonal Regime. - 4.4.2 Short-Term Fluctuations. - 4.5 Rock (Frost?) Shattering. - 4.5.1 Frost Action and Ice Segregation. - 4.5.2 Frost Weathering Models. - 4.5.3 Insolation Weathering and Thermal Shock. - 4.5.4 Discussion and Perspective. - 4.6 Chemical Weathering. - 4.6.1 General. - 4.6.2 Solution and Karstification. - 4.6.3 Salt Weathering. - 4.7 Cryogenic Weathering. - 4.8 Cryobiological Weathering. - 4.9 Cryopedology. - 4.9.1 Cryosols. - 4.9.2 Soil Micromorphology. - Advanced Reading. - Discussion Topics. - 5 Permafrost. - 5.1 Introduction. - 5.1.1 Definition. - 5.1.2 Moisture and Ice within Permafrost. - 5.2 Thermal and Physical Properties. - 5.2.1 The Geothermal Regime. - 5.2.2 Physical Properties. - 5.2.3 Thermal Properties. - 5.3 How Does Permafrost Aggrade?. - 5.3.1 General Principles. - 5.3.2 The Illisarvik Drained-Lake Experiment. - 5.4 Distribution of Permafrost. - 5.4.1 Latitudinal Permafrost. - 5.4.2 Alpine (Mountain) Permafrost. - 5.4.3 Montane Permafrost of Central Asia and China. - 5.5 Relict Permafrost. - 5.5.1 Sub-Sea Permafrost. - 5.5.2 Relict (Terrestrial) Permafrost. - 5.6 Permafrost Hydrology. - 5.6.1 Aquifers. - 5.6.2 Hydrochemistry. - 5.6.3 Groundwater Icings. - 5.7 Permafrost and Terrain Conditions. - 5.7.1 Relief and Aspect. - 5.7.2 Rock Type. - 5.7.3 Vegetation. - 5.7.4 Snow Cover. - 5.7.5 Fire. - 5.7.6 Lakes and Surface Water Bodies. - 5.8 The Active Layer. - 5.8.1 The Transient Layer. - 5.8.2 The Stefan Equation. - 5.8.3 Active-Layer Thermal Regime. - Advanced Reading. - Discussion Topics. - 6 Surface Features of Permafrost. - 6.1 Introduction. - 6.2 Thermal-Contraction-Crack Polygons. - 6.2.1 Coefficients of Thermal Expansion and Contraction. - 6.2.2 Ice, Sand, and Soil Wedges. - 6.2.3 Development of the Polygon Net. - 6.2.4 Polygon Morphology. - 6.2.5 Controls Over Cracking. - 6.2.6 Climatic Significance. - 6.3 Organic Terrain. - 6.3.1 Palsas. - 6.3.2 Peat Plateaus. - 6.4 Rock Glaciers. - 6.4.1 Creeping Permafrost. - 6.4.2 Types and Distribution. - 6.4.3 Origin. - 6.5 Frost Mounds. - 6.5.1 Perennial-Frost Mounds. - 6.5.2 Hydraulic (Open) System Pingos. - 6.5.3 Hydrostatic (Closed) System Pingos. - 6.5.4 Other Perennial-Frost Mounds. - 6.5.5 Seasonal-Frost Mounds. - 6.5.6 Hydrolaccoliths and Other Frost-Induced Mounds. - 6.6 Active-Layer Phenomena. - 6.6.1 Bedrock Heave. - 6.6.2 Needle Ice. - 6.6.3 Cryoturbation and Frost Heave. - 6.6.4 Frost Sorting. - 6.6.5 Patterned Ground. - Advanced Reading. - Discussion Topics. - 7 Ground lce. - 7.1 Introduction. - 7.2 Classification. - 7.2.1 Pore Ice. - 7.2.2 Segregated Ice. - 7.2.3 Intrusive Ice. - 7.2.4 Vein Ice. - 7.2.5 Other Types of Ice. - 7.3 Ice Distribution. - 7.3.1 Amounts. - 7.3.2 Distribution with Depth. - 7.3.3 Ice in Bedrock. - 7.3.4 Ice in Unconsolidated Sediments. - 7.4 Cryostratigraphy and Cryolithology. - 7.4.1 Cryostructures, Cryotextures, and Cryofacies. - 7.4.2 Epigenetic and Syngenetic Cryostructures. - 7.4.3 Thaw Unconformities. - 7.4.4 Ice Crystallography. - 7.4.5 Ice Geochemistry. - 7.4.6 Cryostratigraphy and Past Environments. - 7.5 Ice Wedges. - 7.5.1 Epigenetic Wedges. - 7.5.2 Syngenetic Wedges. - 7.5.3 Anti-Syngenetic Wedges. - 7.6 Massive Ice and Massive-Icy Bodies. - 7.6.1 Nature and Extent. - 7.6.2 Intra-Sedimental Ice. - 7.6.3 Buried Glacier Ice. - 7.6.4 Other Mechanisms. - Advanced Reading. - Discussion Topics. - 8 Thermokarst. - 8.1 Introduction. - 8.2 Causes of Thermokarst. - 8.2.1 General. - 8.2.2 Specific. - 8.3 Thaw-Related Processes. - 8.3.1 Thermokarst Subsidence. - 8.3.2 Thermal Erosion. - 8.3.3 Other Processes. - 8.4 Thermokarst Sediments and Structures. - 8.4.1 Involuted Sediments. - 8.4.2 Retrogressive-Thaw-Slumps and Debris-Flow Deposits. - 8.4.3 Ice-Wedge Pseudomorphs and Composite-Wedge Casts. - 8.4.4 Ice, Silt, Sand, and Gravel Pseudomorphs. - 8.5 Ice-Wedge Thermokarst Relief. - 8.5.1 Low-Centered Polygons. - 8.5.2 High-Centered Polygons. - 8.5.3 Badland Thermokarst Relief. - 8.6 Thaw Lakes and Depressions. - 8.6.1 Morphology. - 8.6.2 Growth and Drainage. - 8.6.3 Oriented Thaw Lakes. - 8.7 Thermokarst-Affected Terrain. - 8.7.1 The Lowlands of Central and Northern Siberia. - 8.7.2 The Western North American Arctic. - 8.8 Human-Induced Thermokarst. - 8.8.1 Causes. - 8.8.2 Case Studies. - Advanced Reading. - Discussion Topics. - 9 Hillslope Processes and Slope Evolution. - 9.1 Introduction. - 9.2 Slope Morphology. - 9.2.1 The Free-Face Model. - 9.2.2 Rectilinear Debris-Mantled Slopes. - 9.2.3 Convexo-Concavo Debris-Mantled Slopes. - 9.2.4 Pediment-Like Slopes. - 9.2.5 Stepped Profiles. - 9.3 Mass Wasting. - 9.4 Slow Mass-Wasting Processes. - 9.4.1 Solifluction. - 9.4.2 Frost Creep. - 9.4.3 Gelifluction. - 9.4.4 Solifluction Deposits and Phenomena. - 9.5 Rapid Mass Wasting. - 9.5.1 Active-Layer-Detachment Slides. - 9.5.2 Debris Flows, Slushflows, and Avalanches. - 9.5.3 Rockfall. - 9.6 Slopewash. - 9.6.1 Snow-Bank Hydrology. - 9.6.2 Surface and Subsurface Wash. - 9.7 Frozen and Thawing Slopes. - 9.7.1 Permafrost Creep. - 9.7.2 Thermokarst and Thaw Consolidation. - 9.7.3 Stability of Thawing Slopes. - 9.8 Cold-Climate Slope Evolution. - 9.8.1 Cryoplanation. - 9.8.2 Slope Replacement and Richter Denudation Slopes. - 9.8.3 Rapidity of Profile Change. - 9.8.4 Summary. - Advanced Reading. - Discussion Topics. - 10 Azonal Processes and Landforms. - 10.1 Introduction. - 10.2 Fluvial Processes and Landforms. - 10.2.1 Major Rivers. - 10.2.2 Freeze-Up and Break-Up. - 10.2.3 Basin Hydrology. - 10.2.4 Sediment Flow, Surface Transport, and Denudation. - 10.2.5 Fluvio-Thermal Erosion. - 10.2.6 Channel Morphology. - 10.2.7 Valley Asymmetry. - 10.3 Eolian Processes and Sediments. - 10.3.1 Wind Abrasion. - 10.3.2 Wind Deflation. - 10.3.3 Niveo-Eolian Sediments. - 10.3.4 Loess-Like Silt. - 10.3.5 Sand Dunes and San

Note: Arrangement of Volume III: Part VIII Germany. - Part IX Federal Republic of Germany. - Part X Japan. - Part XI New Zealand. - Part XII Norway. - Part XIII Peru. - Part XIV Poland. - Part XV South Africa. - Part XVI Union of Soviet Socialist Republics. - Part XVII United Kingdom of Great Britain and Northern Ireland. - Part XVIII United States of America. - Part XIX Uruguay.

Note: Contents: Introduction. - 1. Coastlines as zones of interaction among geological processes, climate change, and socioeconomic development? - Modeling opportunities / J. Harff, W. W. Hay, and D. F. Tetzlaff. - Models describing the driving forces of coastal change and effects of their interrelation. - 2. Postglacial coastal evolution: Ice-ocean-solid Earth interactions in a period of rapid climate change / W. R. Peltier. - 3. Simulation of the Eemian interglacial and possible mechanisms for the glacial inception / F. Kaspar and U. Cubasch. - 4. Predicting seabed change as a function of climate change over the next 50 yr in the Australian southeast / F. Li, C. P. Dyt, C. M. Griffiths, and K. L. McInnes. - 5. Interaction among sedimentation, compaction, and groundwater flow in coastal settings / D. M. Tetzlaff and M.-T. Schafmeister. - Model areas. - The Arctic and the Northern Hemisphere. - 6. The Laptev Sea system since the Last Glacial / H. Kassens, J. Thiede, H. A. Bauch, J. A. Hoelemann, I. Dmitrenko, S. Pivovarov, S. Priamikov, L. Timokhov, and C. Wegner. - 7. The evolution and degradation of coastal and offshore permafrost in the Laptev and Eastern Siberian Seas during the last climatic cycle / P. P. Overduin, H.-W. Hubberten, V. Rachold, N. Romanovskii, M. Grigoriev, and M. Kasymskaya. - 8. Climate and the migration of early peoples into the Americas / R. Hetherington, A. J. Weaver, and Á. Montenegro. - Marginal seas. - 9. The Baltic Sea coast - A model of interrelations among geosphere, climate, and anthroposphere / J. Harff, W. Lemke, R. Lampe, F. Lüth, H. Lübke, M. Meyer, F. Tauber, and U. Schmölcke. - 10. Southern Baltic Sea level oscillations: New radiocarbon, pollen, and diatom evidences of from the Puck Lagoon (Poland) / S. Uscinowicz, J. Zachowicz, G. Miotk-Szpiganowicz, and A. Witkowski. - 11. Modelling Holocene coastal erosion and sediment supply in the western North Sea / J. G. Rees, R. Newsham, and C. D. R. Evans. - 12. A Black Sea lowstand at 8500 yr B.P. indicated by a relict coastal dune system at a depth of 90 m below sea level / G. Lericolais, I. Popescu, F. Guichard, and S. Popescu. - 13. Sinis Peninsula (western Sardinia, Italy) coastal system analysis using hydrodynamic and remote sensing techniques / A. Atzeni, D. Pani, and N. Ibba. - 14. A long-term morphological modeling study on the evolution of the Pearl River Delta, network system, and estuarine bays since 6000 yr B.P. / C. Y. Wu, J. Ren, Y. Bao, Y. P. Lei, and H. Y. Shi. - Index.

Note: Inhalt = Content 1. Vorwort = Introduction 2. Ausgewählte Forschungsthemen = Selected research topics Rinnen im Meereis: Heizung für die Atmosphäre? = Leads in Sea Ice: Heating the Atmosphere? / Christof Lüpkes, Vladimir Gryanik, Anna Barbara Herold, Gerit Birnbaum, Ulrike Wacker, Jörg Hartmann Die polaren Ozeane vor dem Hintergrund der Klimaänderung – Ein Vergleich = The Polar Oceans in the context of climate change – commons and contrasts / Eberhard Fahrbach, Christian Haas und Ursula Schauer Wissenschaftliches Rechnen und Ozeanographie für das Krisenmanagement: Der Beitrag des Alfred-Wegener-Instituts zum Deutsch-Indonesischen Tsunami-Frühwarnsystem = Scientific computing and oceanography for hazard management: The contribution of the Alfred Wegener Institute to the German-Indonesian Tsunami Early Warning System / Jörn Behrens, Wolfgang Hiller, Jens Schröter Klimaarchiv Eis – Das European Project for Ice Coring in Antarctica (EPICA) = Climate archive in ice - the European Project for Ice Coring in Antarctica (EPICA) / Hubertus Fischer, Frank Wilhelms, Sepp Kipfstuhl, Hans Oerter, Hanno Meyer, Peter Köhler, Rainer Gersonde & Heinz Miller Schwarzschiefer vom Nordpol entschlüsseln Klimageschichte: Der Arktische Ozean war vor 45 Millionen Jahren so warm wie die Ostsee heute = Black shales near the North Pole decipher climate history: The Arctic Ocean at 45 Ma was as warm as the modern Baltic Sea / Ruediger Stein, Petra Weller, Bettina Boucsein und Jens Matthiessen Leben auf dem Mars? Methan-bildende Mikroorganismen aus sibirischen Permafrost-böden als Studienobjekte = Life on Mars? Methane-forming micro-organisms from Siberian permafrost soils as study objects / Dirk Wagner und Daria Morozova Seeelefanten helfen Südozeanmodellierern = Elephant Seals help validate Finite Element Ice-Ocean Model / Ralph Timmermann Neuigkeiten in der Krillforschung: Licht kontrolliert Lebensfunktionen des Krills = News in Krill research: Light controls life functions of krill / Mathias Teschke, Bettina Meyer, Carsten Pape, Susanne Spahic Wie wird man 400 Jahre alt? Altersvorsorge der Islandmuschel (Arctica islandica) = Living 400 years – what is the secret of the ocean quahog (Arctica islandica)? / Doris Abele, Eva Philipp, Julia Strahl, Thomas Brey Langzeitforschung auf Helgoland und Sylt: Ein Finger am Puls der Nordsee = Long-Term Ecological Research at Helgoland and Sylt: Keeping a Finger at the Pulse of the North Sea / Justus E.E. van Beusekom, Maarten Boersma, Karsten Reise and Karen H. Wiltshire 3. Forschung = Research MARCOPOLI 3.1 MARINE 3.2 COAST 3.3 POLAR 3.4 Neue Themen = Additional funding 4. Helmholtz-Nachwuchsgruppen = Helmholtz Young Investigator Groups 5. Entwicklungen in den Fachbereichen = Progresses in the Scientific Divisions 6. Neue Technologien = New technologies 7. Logistik und Forschungsplattformen = Logistics and research platforms 8. Nationale und internationale Zusammenarbeit = National and international cooperation 9. Mariner Umweltschutz = Marine environmental protection 10. Wissenschaftliches Rechenzentrum = Scientific data processing centre 11. Bibliothek = Library 12. Technologietransfer = Technology transfer 13. Presse- und Öffentlichkeitsarbeit = Public relations department 14. Schulprojekt = School project 15. Personeller Aufbau und Haushaltsentwicklung = Personnel structure and budget trends 16. Veröffentlichungen, Patente = Publications, patents Anhang = Annex , Text in deutscher und englischer Sprache

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

Note: CONTENTS COMPOSITION OF THE OFFICE CONTENTS INTRODUCTION I. THE POLAR REGIONS: AN URGENT NEED FOR PROTECTION A. EXTREME BUT FRAGILE REGIONS 1. The Arctic Ocean 2. Antarctica B. FRANCE'S RESPONSIBILITY IN THE ANTARCTICA TREATY 1. The origins of the treaty and the Antarctic system 2. Mining a suspended issue 3. Tourism: a new peaceful threat? II. THE POLES: THEIR KEY ROLE IN UNDERSTANDING CLIMATE CHANGE A. UNDERSTANDING PAST CLIMATES TO UNDERSTAND THE FUTURE CLIMATE 1. Recent ice cores from Greenland 2. lce cores from Antarctica 3. Ocean core samples: the transpolar link 4. The future of glacial core sampling B. THERMOHALINE CIRCULATION 1. The general circulation system 2. The importance of the creation of cold, deep waters 3. The Antarctic Ocean, a carbon sink C. THE POLAR REGIONS AT THE HEART OF GLOBAL CLIMATE CHANGE 1. Will the Arctic ice shelf disappear in the summer? 2. Will Greenland melt completely? 3. Can a diagnosis be made concerning the assessment of Antarctica's mass? III. FRANCE'S FIRST-CLASS BIOLOGICAL RESEARCH A. AN EXCEPTIONAL HERITAGE 1. A unique geographic situation 2. 40 to 50 years of continuous observations B. ADAPTING TO GLOBAL CLIMATE CHANGE AND EXTREME ENVIRONMENTS 1. Adapting to climate change 2. Understanding the adaptation to extreme environments C. INNOVATIVE RESEARCH 1. The equipment of animals 2. Hormonal, molecular and genetic research 3. The implications for the organization of research IV. OBSERVING THE EARTH, OBSERVING THE UNIVERSE A. OBSERVATORIES FOR THE EARTH AND THE UPPER ATMOSPHERE 1. Seismology 2. Measuring gravity and terrestrial magnetism 3. Studying the stratosphere and monitoring the ozone layer '1. Observing the ionosphere B. ANTARCTIC ASTRONOMY: A NEW FIELD 1. Recognizing this fast-growing discipline 2. Concordia: the best site in the world/or astronomic observations? 3. Searching for meteorites in Antarctica 4. Measuring cosmic radiation V. PREPARING THE SPACE MISSIONS IN ANTARCTICA A. PREPARING AND VALIDATING THE SATELLITE MISSIONS 1. Space and the polar regions: preparation complementarity 2. Validating on the ground observations made from space B. PREPARING MANNED SPACE FLIGHTS AND MOON OR MARS-BASED STATIONS 1. Concordia - a unique research site 2. Studying behaviour in an extreme environment 3. Physiological studies C. TESTING EXPLORATION MATERIAL 1. American examples and projects 2. European perspectives VI. FRANCE'S PRESENCE IN THE POLAR REGIONS A. DEVELOPING FRANCE'S PRESENCE IN THE ARCTIC, STRENGTHENING ITS PRESENCE IN ANTARCTICA 1. Developing France's Arctic presence 2. Strengthening our presence in the southern regions B. IPEV (THE FRENCH PAUL-EMILE VICTOR INSTITUTE), AN AGENCY OF MEANS VII. INTERNATIONAL COOPERATION: A NECESSITY AND A GOAL A. HOW TO ENCOURAGE A EUROPEAN PROCESS? 1. The European Union: a sufficient framework? 2. The practical and political limitations of cooperation 3. Towards an Italian-German-French engine? B. WHAT INTERNATIONAL COOPERATION FOR FRANCE ON THE EVE OF THE IPY? 1. Excellence, proximity and longevity: three key criteria for cooperation 2. Developing a network for the stations VIII. THE RAPPORTEUR'S CONCLUSIONS AND PROPOSALS 1. Strategic regions 2. Regions to protect 3. Essential regions for understanding climate change 4. Life in the polar regions: of great value to humanity 5. The polar regions: an observatory for the Earth 6. Strongly support the development of astronomy at Concordia 7. Take advantage of the polar regions' complementarity with the space missions 8. Strengthen France's presence in the polar regions 9. Reorganize France's presence in the polar regions 10. Better coordinate polar research 11. Solve the problem of insufficient funding for polar-research logistics 12. Define a French strategy for European and international cooperation APPENDICES SPEAKERS PROCEEDINGS OF THE 1 MARCH 2007 SEMINAR: "OPENING OF THE INTERNATIONAL POLAR YEAR IN FRANCE" PART ONE: LUNCH-DEBATE I. MR. HENRI REVOL, PRESIDENT OF THE OPECST II. MR. JEAN-LOUIS ETIENNE PART TWO: OFFICIAL OPENING SESSION I. INTRODUCTION A. MR. CHRISTIAN GAUDIN, SENATOR, RAPPORTEUR FOR THE OPECST B. MS. CATHERINE BRECHIGNAC, PRESIDENT OF THE CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE (CNRS) C. MR. MICHEL JARRAUD, SECRETARY-GENERAL OF THE WORLD METEOROLOGICAL ORGANIZATION D. MR. CHRISTIAN COINTAT, SENATOR, PRESIDENT OF THE ANTARCTIC AND ARTIC STUDY GROUP II. OFFICIAL OPENING OF THE INTERNATIONAL POLAR YEAR IN FRANCE BY MR. CHRISTIAN PONCELET, PRESIDENT OF THE SENATE III. THEMATIC DEBATE-THE POLES: INDICATORS AND EVIDENCE FOR MANKIND A. MS. NELLY OLIN, MINISTER OF ECOLOGY AND SUSTAINABLE DEVELOPMENT B. MS. VALERIE MASSON-DELMOTTE, CLIMATOLOGIST, CEA C. MR. YVON LE MAHO, BIOLOGIST, CNRS D. MS. JOELLE ROBERT-LAMBLIN, ANTHROPOLOGIST, CNRS E. DEBATE IV. CLOSING SPEECHES A. MR. FRAN〈;:OIS GOULARD, MINISTER FOR HIGHER EDUCATION AND RESEARCH B. HIS SERENE HIGHNESS PRINCE ALBERT II OF MONACO APPENDICES APPENDIX 1: DOCUMENTS PRESENTED BY MS. VALERIE MASSONDELMOTTE, CLIMATOLOGIST - CEA APPENDIX 2: DOCUMENTS PRESENTED BY MS. JOELLE ROBERTLAMBLIN, ANTHROPOLOGIST - CNRS APPENDIX 3: DOCUMENTS PRESENTED BY MR. YVON LE MAHO, BIOLOGIST- CNRS

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: Zugl.: Bremen, Univ., Diss., 2005

Note: Enthaltener Beitrag: Russian-German Cooperation SYSTEM LAPTEV SEA: The Expedition COAST I / edited by Paul Overduin , Enthaltener Beitrag: The Expedition Lena 2005 / edited by Lutz Schirrmeister, Dirk Wagner, Mikhail N. Grigoriev and Dimitry Yu. Bolshiyanov , Enthaltener Beitrag: Russian-German cooperation Yakutsk - Potsdam: the expedition CENTRAL YAKUTIA 2005 / edited by Bernhard Diekmann, Sebastian Wetterich and Frank Kienast , Contents for "Russian-German Cooperation SYSTEM LAPTEV SEA: The Expedition COAST I" The Expedition COAST I 1. Background and Objectives 2. Logistics and Itinerary 3. Field Methods and Sample Recovery 3.1 Coring 3.2 Pore water analyses 3.3 Temperature profiles 4. Sample lists , Contents for "The Expedition Lena 2005" The Expedition Lena 2005 1. Introduction 2. Expedition itinerary and general logistics 3. Microbiological processes, trace gas fluxes and hydrobiology in permafrost ecosystems of the Lena Delta 3.1 Introduction 3.2 Dynamic of methane oxidising communities in permafrost soils 3.2.1 Introduction 3.2.2 Sampling procedure and field parameters 3.2.3 Pore water methane concentration 3.2.4 Sample processing and analyses 3.3 Microbial studies on nitrification from permafrost environments 3.3.1 Introduction 3.3.2 Field experiments: Impact of polygonal soil parameter on nitrification 3.4 Closed chamber measurements of carbon exchange between Arctic tundra and the atmosphere 3.5 Micrometeorological measurements of energy, water, and carbon exchange between Arctic tundra and the atmosphere 3.6 Energy and water budget of permafrost soils – long time meteorology and soil survey station on Samoylov Island 3.7 Isotopic Studies on the 13C-fractionation during CH4-production in polygonal and thermokarst lakes of the Lena Delta 3.7.1 Introduction and methods 3.7.2 Preliminary results and further plans 3.8 Hydrobiological investigations on Samoylov Island 3.8.1 Objectives 3.8.2 Research tasks 3.8.3 Material and methods 3.8.4 Preliminary results 3.9 References 4. Studies of periglacial landscape dynamics and surface characteristics studies in the western Lena Delta 4.1. Scientific background and objectives 4.2. Geological and geographical characteristics 4.3. Studies of oriented lakes and thermokarst depressions 4.3.1 Background 4.3.2 Study area 4.3.3 Topographical and geomorphological settings 4.3.3.1 Depressions 1, 2 and 3 4.3.3.2 Depression 4 4.3.3.3 Depression 5 4.3.4 Bathymetrical surveys 4.3.5 Field sampling 4.4. Characteristics and spectral properties of periglacial landforms 4.4.1 Introduction 4.4.2 Methods 4.4.3 First results 4.5. Studies of permafrost sequences for paleo-environmental reconstruction 4.5.1 The “Arga-Sands” on Turakh Island 4.5.1.1 Exposure Tur-1 4.5.1.2 Core Tur-2 4.5.1.3 Exposure T021 4.5.2 Sand sequences of Ebe Basyn Sise Island 4.5.2.1 Exposure Ebe-4 4.5.2.2 Exposure Ebe-2 4.5.2.3 Exposure Ebe-3 4.5.2.4 Exposure Ebe-5 4.5.3 Sand and Ice Complex sequences of Khardang Island 4.5.3.1 The sand deposits in the exposure Kha-1 4.5.3.2 The sequence Kha-2 4.5.3.3 Exposure Kha-3: large ice wedge and surrounding sediments 4.6 Subsurficial and bathymetrical Ground Penetrating Radar (GPR) Investigations 4.6.1 Subsurface mapping of the Arga sands stratigraphical unit 4.6.1.1 GPR survey configuration 4.6.1.2 Transects at exposure Ebe-4 4.6.1.3 Transects at exposure/borehole Tur-1/Tur-2 4.6.2 Arynskaya Channel bathymetry 4.7 Measuring of local weather and soil conditions by soil probe and weather station 4.8 Palaeontological collection of the “Mammoth” fauna from the museum of the Lena Delta Reserve 4.9 References 4.10 Appendices chapter 4 Appendix 4-1: Field spectrometry – description of measuring points and profiles (see chapter 4.4) Appendix 4-2: List of sediment samples (see chapter 4.5) Appendix 4-3: Modern soil profiles and surface samples Appendix 4-4: List of ground ice and surface water samples Appendix 4-5. Bone collection of the expedition LENA 2005 Appendix 4-6: Bone collection of Lena Delta Reserve Tiksi (see chapter 4.8) 5. Holocene ice wedges of the 1st Lena terrace 5.1 Introduction 5.2 Outcrops 5.2.1 Outcrop 1 5.2.2 Outcrop 2 5.2.3 Geocryolithology on Samoylov Island: General impressions 5.2.4 Outcrop 3 5.2.5 Outcrop 4 5.2.6 Outcrop 5 5.2.7 Outcrop 6 5.2.8 Outcrop 7 5.2.9 Outcrop 8 5.2.10 Outcrop 9 5.2.11 Outcrop 10 5.2.12 Pingo at Olenyekskaya Channel 5.2.13 Summary 5.3 Studies on recent cryogenesis on Samoylov Island 5.4 References 5.5 Appendices chapter 5 Appendix 5-1: Ice sample list Appendix 5-2: List of sediment samples and ice content measurement Appendix 5-3: List of water samples 6. Report of the hydrological work in the Lena River Delta in August 2005 6.1 Introduction 6.2 Methods 6.3 Preliminary results 6.4 Conclusion , Contents for "Russian-German cooperation Yakutsk - Potsdam: the expedition CENTRAL YAKUTIA 2005" Central Yakutia 2005 1. Expedition ‘Verkhoyansk 2005’ • Limnogeological studies at Lake Billyakh, Verkhoyansk Mountains, Yakutia 1.1 Introduction 1.2 Regional Setting of Lake Billyakh 1.3 Itinerary 1.4 Methods 1.4.1 Bathymetric measurements 1.4.2 Water sampling and measurements 1.4.3 Sediment coring 1.5 Results 1.5.1 Bathymetry 1.5.2 Water profiles 1.5.3 Sediment cores 1.6 Outlook 1.7 References 2 Limnological studies in Central and North-east Yakutia in summer 2005 2.1 Introduction 2.2 Study sites and lake types 2.3 Material and methods 2.4 Preliminary results 2.5 Outlook 2.6 References 2.7 Appendices Appendix 2-1: General characteristics and geographical position of the studied lakes in Central and North-east Yakutia Appendix 2-2: Some properties of the studied lakes in Central and North-east Yakutia, obtained during the fieldwork (unfilled table cells imply no data or information) Appendix 2-3: Sample list for further analyses on sediments, hydro-chemistry, water isotopes and aquatic organisms Appendix 2-4: Occurrence of zoobenthos organisms in the sampled Central-Yakutian lakes in July 2005 3. Vegetation studies in extremely continental regions of Yakutia 3.1 Introduction 3.2 Study areas and investigated vegetation types 3.3 Material and methods 3.4 Preliminary results 3.5 Appendix 3-1: Metadata of studied vegetation records

Note: Contents List of contributors Introduction Part I Geophysical methods 1 Electrical methods / C. Kneisel and C. Hauck 1.1 Introduction 1.2 Measurement principles 1.3 Data acquisition 1.4 Data processing 1.5 Periglacial applications and particularities 1.6 Conclusions 1.7 Checklist References 2 Electromagnetic methods / A. Hardt and C. Hauck 2.1 Introduction 2.2 Background 2.3 Periglacial applications and particularities 2.4 Conclusions 2.5 Checklist References 3 Refraction seismics / L. Schrott and T. Hoffmann 3.1 Introduction 3.2 Measurement principles 3.3 Limitations of seismic refraction based on measurement principles 3.4 Data acquisition 3.5 Data processing 3.6 Periglacial applications and particularities 3.7 Checklist References 4 Ground-penetrating radar / I. Berthling and K. Melvold 4.1 Introduction 4.2 Measurement principles 4.3 Data acqusition 4.4 Data processing 4.5 Periglacial applications and particularities 4.6 Recommendations References Part Il Case studies 5 Typology of vertical electrical soundings for permafrost/ground ice investigation in the forefields of small alpine glaciers / R. Delaloye and C. Lambiel 5.1 Introduction 5.2 Method 5.3 Typology 5.4 Conclusions References 6 ERT imaging for frozen ground detection / M. Ishikawa 6.1 Introduction 6.2 Data acquisition and quality control 6.3 Case studies 6.4 Summary References 7 Electrical resistivity values of frozen soil from YES and TEM field observations and laboratory experiments / K. Harada 7.1 Introduction 7.2 Methods 7.3 Results 7.4 Summary References 8 Results of geophysical surveys on Kasprowy Wierch, the Tatra Mountains, Poland / W. Dobinski, B. Zogala, K. Wzietek and L. Litwin 8.1 Introduction 8.2 Field site 8.3 Methods 8.4 Measurements 8.5 Analysis and interpretation of the measurements 8.6 Conclusions References 9 Reassessment of DC resistivity in rock glaciers by comparing with P-wave velocity: a case study in the Swiss Alps / A. Ikeda 9.1 Introduction 9.2 Methods 9.3 Field sites with borehole information 9.4 Results 9.5 Discussion 9.6 Conclusions References 10 Quantifying the ice content in low-altitude scree slopes using geophysical methods / C. Hauck and C. Kneisel 10.1 Introduction 10.2 Methods 10.3 Field sites 10.4 Results 10.5 Discussion and conclusions References 11 The use of GPR in determining talus thickness and talus structure / O. Sass 11.1 Introduction 11.2 Study sites and data acquisition 11.3 Results 11.4 Conclusions References 12 GPR soundings of rock glaciers on Svalbard / I. Berthling, B. Etzelmüller, H. Farbrot, K. Isaksen, M. Wåle and R. Ødegård 12.1 Introduction 12.2 Methods 12.3 Results and interpretation 12.4 Discussion References 13 Arctic glaciers and ground-penetrating radar. Case study: Stagnation Glacier, Bylot Island, Canada / T. Irvine-Fynn and B. Moorman 13.1 Introduction 13.2 Field site 13.3 Field methods 13.4 Processing methods 13.5 Results 13.6 Discussion 13.7 Conclusions References 14 Mapping of subglacial topography using GPR for determining subglacial hydraulic conditions / K. Melvold and T. V. Schuler 14.1 Introduction 14.2 Field site 14.3 Methodology 14.4 Results 14.5 Discussion 14.6 Conclusions References 15 Snow measurements using GPR: example from Amundsenisen, Svalbard / K. Melvold 15.1 Introduction 15.2 GPR and GPS equipment and measurements 15:3 Data processing 15.4 Results and discussion 15.5 Conclusions References 16 Mapping frazil ice conditions in rivers using ground penetrating radar / I. Berthling, H. Benjaminsen and A. Kvambekk 16J Introduction 16.2 Setting and field procedures 16.3 Results 16.4 Discussion 16.5 Conclusions References Contents Appendix Tables of geophysical parameters for periglacial environments Index

Note: Contents Foreword by Y. I. Chernov Introduction Explanations to tables Table 1: Distribution of the vascular plants within the Russian Arctic and adjacent territories Table 2: The main characteristics of the vascular plants within the Russian Arctic and adjacent territories Table 3: List of the weedy and adventitious vascular plants within the Russian Arctic and adjacent territories Conclusion Acknowledgements References

Note: Teilw. zugl.: Heidelberg, Univ., Diss., 1994

Note: Contents: Preface. - New introduction. - I. Introductory. - II. From Hobart to South Victoria Land. - III. Life in South Victoria Land. - IV. Cut off from all the world. - V. The winter in Victoria Land. - VI. Sledge Journey in winter. - VII. Among the penguins. - VIII. Return of the Southern Cross. - IX. Farthest south. - X. Towards civilization. - Appendix I. Appendix II.

Note: Contents: Abstract. - Acknowledgements. - Introduction: Environmental change, paleolimnology, and diatoms. - Chapter 1: Diatoms as indicators of salinity and brine composition. - Chapter 2: Diatoms as indicators of lake trophic status. - References. - Plates. - Appendices. - Species Index.

Note: Zugl.: Heidelberg, Univ., Diss., 1995

Note: Contents: Abbreviations. - Partial List of Symbols. - 1 THE GOVERNING EQUATIONS. - 1-1 Introduction. - 1-2 Equation of Motion. - 1-3 Continuity Equation. - 1-4. - Equation of State. - 1-5 First Law of Thermodynamics. - 1-6 The Complete System of Equations. - 1-7 Coordinate Systems. - 1-8 Map Projections. - 1-8-1 Polar Stereographic Projection. - 1-8-2 Mercator Projection. - 1-8-3 Lambert Conformal Projection. - 1-8-4 Additional Remarks. - 1-9 Alternate Vertical Coordinates. - 1-9-1 Pressure Vertical Coordinate. - 1-9-2 Isentropic Vertical Coordinate Θ. - 1-10 Some Energy Relations. - 1-10-1 Kinetic Energy. - 1-10-2 Potential Energy. - 1-11 Available Potential Energy. - 1-12 Vorticity and Divergence Equations. - 1-12-1 Divergence Equations. - 2 WAVE MOTION IN THE ATMOSPHERE: PART 1. - 2-1 Introduction. - 2-2 Linearized Equations. - 2-3 Pure Sound Waves. - 2-4 Sound Waves and Internal Gravity Waves. - 2-5 Surface Gravity Waves. - 2-6 Inertial Gravity Waves and Rossby Waves. - 2-7 Response to Initial Conditions. - 2-8 Geostrophic Adiustment. - 3 SCALE ANALYSIS. - 3-1 Introduction. - 3-2 Shallow-Water Equations. - 3-3 Baroclinic Equations. - 3-4 Midlatitude Analysis. - 3-5 Tropics. - 3-6 Planetary Scale. - 3-7 Balance System. - 4 ATMOSPHERIC WAVES: PART. - 4-1 Introduction. - 4-2 Rossby Waves. - 4-3 Conditions for Barotropic Instability. - 4-4 Some Unstable Profiles. - 4-5 Linear Shear. - 4-6 Barotropic Effects in the Atmosphere. - 4-7 Baroclinic Instability. - 4-8 Baroclinic Instability with Linear Shear. - 4-9 Two-Level Model. - 4-10 Wave Structure. - 4-11 Vertical Energy Propagation. - 4-12 Barotropic Equatorial Waves. - 4-13 Vertical Structure of Equatorial Waves. - 5 NUMERICAL METHODS. - 5-1 Introduction. - 5-2 Finite Difference Methods. - 5-3 The Advection Equation. - 5-4 Some Basic Concepts. - 5-5 Stability Analysis. - 5-5-1 The Matrix Method. - 5-5-2 Von Neumann Method. - 5-5-3 The Energy Method. - 5-6 Examples of the Von Neumann Method. - 5-6-1 Euler Scheme. - 5-6-2 Uncentered Differencing, Von Neumann Method. - 5-6-3 Trapezoidal Implicit Scheme. - 5-6-4 Euler Backward Scheme. - 5-6-5 Fourth-Order Space Differencing. - 5-6-6 Oscillation Equation. - 5-6-7 Two-Dimensional Advection Equation. - 5-6-8 External Gravity Waves, Leapfrog Scheme. - 5-6-9 Staggered Grid. - 5-7 Forward-Backward Scheme, Pressure Averaging, and Semi-Implicit Methods. - 5-7-1 Forward-Backward Scheme. - 5-7-2 Pressure Averaging. - 5-7-3 Time Averaging. - 5-7-4 Semi-Implicit Method. - 5-7-5 Lax Wendroff Scheme. - 5-8 A Summary of Some Difference Schemes. - 5-9 Parabolic Equations. - 5-10 Elliptic Equations. - 5-10-1 Relaxation Method. - 5-10-2 Direct Methods. - 5-10-3 Gaussian Elimination. - 5-10-4 Buneman Variant. - 5-10-5 Helmholtz Equation on a Sphere. - 5-10-6 Reduction of a Three-Dimensional Elliptic Equation to Two-Dimensional Equations. - 5-11 Nonlinear Instability and Aliasing. - 5-11-1 Discrete Mesh. - 5-11-2 Primitive Equations Considerations. - 6 GALERKIN METHODS. - 6-1 Introduction. - 6-2 Example with Spectral and Finite Element Methods. - 6-3 Time Dependence. - 6-4 Barotropic Vorticity Equation with Fourier Basis Functions. - 6-5 Transform Method. - 6-6 Spectral Model of Shallow-Water Equations. - 6-7 Advection Equation with Finite Elements. - 6-8 Barotropic Vorticity Equation with Finite Elements. - 7 NUMERICAL PREDICTION MODELS. - 7-1 Filtered Models. - 7-1-1 Quasi-Geostrophic Equivalent Barotropic Model. - 7-1-1-1 Energetics of the Barotropic Model. - 7-1-2 Quasi-Geostrophic Multilevel Baroclinic Model. - 7-1-3 Linear Balanced Model. - 7-1-4 Nonlinear Balanced Model. - 7-2 Primitive Equation Models. - 7-2-1 Constraints from Continuous Equations. - 7-2-2 Vertical Differencing. - 7-3 Staggered Grid Systems. - 7-4 Example of a Staggered Primitive Equation Model. - 7-4-1 Equations in Curvilinear Coordinates. - 7-4-2 Horizontal Differencing. - 7-4-3 Energy Conservation. - 7-5 Potential Enstrophy Conserving Scheme. - 7-5-1 Continuous Integral Constraints. - 7-5-2 Difference Equations. - 7-5-3 Constraints Enforced. - 7-6 Spherical Grids. - 7-7 Fine Mesh Modeling. - 7-7-1 One-Way Influence. - 7-7-2 Boundary Conditions. - 7-7-3 Two-Way Interaction. - 7-7-4 Initialization on a Bounded Region. - 7-8 Baroclinic Spectral Models. - 7-9 Isentropic Coordinate Models. - 7-10 Upper Boundary Conditions. - 7-11 Mountain Effects. - 8 BOUNDARY LAYER REPRESENTATIONS. - 8-1 Introduction. - 8-2 Reynolds Equations. - 8-3 Bulk Formulas. - 8-4 Eddy Viscosity, K-Theory. - 8-5 Combined Prandtl and Ekman Layers. - 8-5-1 Prandtl Layer (Neutral Stratification). - 8-5-2 Ekman Layer. - 8-6 Nonneutral Surface Layer. - 8-6-1 Matching Ekman Spiral. - 8-7 Similarity Solutions for the Entire PBL. - 8-7-1 Deardorff Mixed Layer Model. - 8-7-2 Surface Layer. - 8-7-3 Matching Solutions for the Surface and Mixed Layers. - 8-7-4 Surface Wind Direction. - 8-7-5 Modified Transfer Coefficients. - 8-8 A Prediction Equation for h. - 8-8-1 Further Comments on PBL Parameterization. - 8-9 High-Resolution Model. - 8-9-1 The Coefficient of Eddy Viscosity. - 8-9-2 Surface Temperature. - 8-9-3 Some Prediction Model Details. - 8-10 Mean Turbulent Field Closure Models (Second-Order Closure). - 9 INCLUSION OF MOISTURE. - 9-1 Moisture Conservation Equation. - 9-1-1 Modified Thermodynamic Equation. - 9-1-2 Equivalent Potential Temperature and Static Energy. - 9-2 Convective Adjustment. - 9-2-1 Case A. Dry Convection, q 〈 qs. - 9-2-2 Case B. Moist Adjustment q ≥ qs. - 9-3 Modeling Cloud Processes. - 9-3-1 Nonconvective Condensation. - 9-4 Cumulus Parameterization. - 9-4-1 Introduction. - 9-4-2 Kuo Method. - 9-5 Parameterizations Involving Cloud Models. - 9-6 Arakawa and Schubert Model. - 9-6-1 Large-Scale Budget Equations. - 9-6-2 Cloud Budget Equations. - 10 RADIATION PARAMETERIZATION. - 10-1 Terrestrial Radiation. - 10-2 Absorbing Substances. - 10-3 Simplified Transmission Functions. - 10-4 Discretization, Long-Wave Radiation. - 10-4-1 Clear Sky. - 10-4-2 Cloudy Sky. - 10-5 Solar Radiation. - 10-5-1 Clear Sky. - 10-5-2 Cloudy Sky, One Cloud Layer. - 10-5-3 Two Contiguous Cloud Layers. - 10-5-4 Two Separated Cloud Layers. - 10-6 Miscellany. - 11 OBJECTIVE ANALYSIS AND INITIALIZATION. - 11-1 Introduction. - 11-2 A Three-Dimensional Analysis. - 11-3 Statistical Methods, Multivariate Analysis. - 11-4 Initialization. - 11-4-1 Introduction. - 11-4-2 Damping Techniques. - 11-4-3 Static Initialization. - 11-4-4 Variational Method. - 11-4-5 Normal Mode Expansions. - 11-4-6 Variational Normal Mode Initialization. - 11-5 Dynamic Balancing. - 11-6 Four-Dimensional Data Assimilation. - 11-7 Newtonian Relaxation or "Nudging". - 11-8 Smoothing and Filtering. - 11-8-1 Two-Dimensional Smoothers. - 11-8-2 Bandpass Filters. - 11-8-3 Boundary Effects. - 12 OCEAN DYNAMICS AND MODELING. - 12-1 Introduction. - 12-2 Wind-Driven Barotropic Models. - 12-3 Nonlinear Effects. - 12-4 Barotropic Numerical Models. - 12-5 Simple Thermohaline Models. - 12-6 Baroclinic Numerical Models. - 12-7 Bottom Topography Effects. - 12-8 Synoptic Scale Eddies. - 12-9 Mixed Layer Models. - 12-10 Problems in Ocean Modeling. - 13 WEATHER AND CLIMATE PREDICTION. - 13-1 Introduction. - 13-2 Current Forecasting Skill. - 13-2-1 Short Range. - 13-2-2 Medium and Longer Ranges. - 13-2-3 Additional Comments on Forecasting. - 13-3 Predictability of the Atmosphere. - 13-4 Statistical-Dynamical Prediction. - 13-4-1 Simple Empirical Corrections. - 13-4-2 Stochastic-Dynamical Prediction. - 13-5 Climate and Climate Prediction. - Appendix Mathematical Relations. - References. - Index.