%OOOO @incollection{obrien-busalacchi-etal:1981, Author = "O'Brien, J. J. and A. Busalacchi and J. Kindle, Title = "Ocean models of El Nino", Booktitle = "Resource Management and Environmental Uncertainty", Editor = "M. H. Glantz and J. D. Thompson", Publisher = "John Wiley and Sons", Year = "1981", Pages = "159--212" } @article{olbers:1983, Author = "Olbers, Dirk J.", Title = "Models of the oceanic internal wave field", Journal = "Rev. Geophys.", Volume = "21", Year = "1983", Pages = "1567--1606" } @inproceedings{olbers:1986, Author = "Olbers, Dirk", Title = "Diagnostic models of ocean circulation", Booktitle = "Large-Scale Transport Processes in Oceans and Atmosphere", Editor = "J. Willebrand and D.L.T. Anderson", Publisher = "D. Reidel", Year = "1986", Pages = "201--223", TOC = " 1. Introduction, 2. Water mass and isopycnal analysis, 3. The dynamic method, 4. The inverse method, 5. The beta-spiral method, 6. Summary and outlook" } @article{oliger-sundstrom:1978, Author = "Oliger, Joseph, and Arne Sundstrom", Title = "Theoretical and practical aspects of some initial boundary value problems in fluid dynamics", Journal = "SIAM Journal of Applied Mathematics", Volume = "35", Year = "1978", Pages = "419--446", Keyword = "fluid mechanics, boundary value problems", Note = " Introduction, 1. Well-posedness, 2. The Eulerian equations (system A), 3. Basic approximate forms of the Eulerian equations (systems B1 and B2), 4. The barotropic or ``shallow-water'' equations (system C), 5. Effects of viscous terms, Implications for numerical methods" } @article{olson:1991, Author = "Olson, D. B.", Title = "Rings in the ocean", Journal = "Ann. Rev. Earth Planet. Sci.", Volume = "19", Year = "1991", Pages = "283--311" } @article{oort-peixoto:1983, Author = "Oort, Abraham H. and Jose P. Peixoto", Title = "Global angular momentum and energy balance requirements from observations", Journal = "Advances in Geophysics", Volume = "25", Year = "1983", Pages = "355--490", TOC = " 1. Introduction, 2. Data handling and analysis procedures, 3. Angular momentum balance of the climatic system, 3.1 Description of the basic circulation, 3.2 Meridional transport of angular momentum, 3.3 Vertical transport of angular momentum, 3.4 Angular momentum transfer between earth and atmosphere, 4. Energy balance of the climate system, 4.1 Radiational forcing, 4.2 Description of the energy in the atmosphere, 4.3 Poleward transport of energy, 4.4 Vertical transport of energy, 4.5 Fulfillment of the energy balance, 5. Some implications for the global energy cycle of the climate system, 5.1 Equations, 5.2 Spatial distribution of energy, 5.3 Spatial distribution of energy conversions, 5.4 Energy cycle, 6. Concluding remarks" } @incollection{orszag:1985, Author = "Orszag, S. A.", Title = "Lectures on spectral methods for turbulence computations", Booktitle = "Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics", Editor = "M. Ghil and R. Benzi and G. Parisi", Publisher = "North-Holland", Year = "1985", Pages = "107--129", TOC = " 1. Introduction to spectral methods, 2. Applications, 2.1 Introduction, 2.2 A transitional instability, 2.3 Computer simulations of turbulence, 2.4 Subgrid scale turbulence closures, 3. Conclusions" } Osborne, A. R., "Nonlinear Fourier analysis," In _Nonlinear Topics in Ocean Physics_, A. R. Osborne, ed., North-Holland, 1991, pp. 669-700. 1. What is nonlinear Fourier analysis? 2. Linear Fourier analysis 2.1 Infinite-line boundary conditions 2.2 Periodic boundary conditions 2.3 Discrete space or time series for periodic boundary conditions 3. Nonlinear Fourier analysis 3.1 Infinite-line boundary conditions 3.2 Periodic boundary conditions 3.3 Discrete space or time series for periodic boundary conditions 4. The nonlinear Fourier spectrum for narrow-banded wave fields in shallow water 5. Summary and conclusions Ostrovsky, L. A., and Yu. A. Stepanyants, "Do internal solitons exists in the ocean?", Reviews of Geophysics, Vol. 27, 1989, pp. 293-310. 1. Introduction 2. Observation of internal waves in the ocean a. Solitary internal waves in shallow seas b. Solitary waves in deep ocean 3. Conclusion PPP @article{panchev:1992, Author = "Panchev, S.", Title = "Chaotic and deterministic behaviour of nonlinear geophysical fluid dynamics systems", Journal = "Acta Applicandae Mathematicae", Volume = "26", Year = "1992", Pages = "271--291", Keyword = "geophysical fluid dynamics, nonlinear dynamics", Note = " 1. Phase space description of dynamical systems; a geometical view and a mathematical description, 1.1 Some definitions, 1.2 Two-dimensional phase space (trajectories and point attractors), 1.3 Three-dimensional phase space (trajectories and point attractors), 1.4 One- and two-dimensional simple attractors in two- and three-dimensional phase space, 1.5 Strange attractor in three-dimensional phase space, 2. Examples of nonlinear systems with chaotic behavior, 3. Examples of nonlinear systems with deterministic behavior, 4. Estimating the dimensions of empirical attractors, 4.1 Introduction, 4.2 Basic concepts, 4.3 Summary and conclusion" } @article{papoulis:1981, Author = "Papoulis, Athanasios", Title = "Maximum entropy and spectral estimation: A review", Journal = "IEEE Trans. Acoust., Speech, Signal Processing", Volume = "29", Year = "1981", Pages = "1176--1186", TOC = " I. Introduction, II. Prediction, III. The Levinson algorithm, IV. Spectral estimation, V. Maximum entropy" } @article{parker:1977, Author = "Parker, R. L.", Title = "Understanding inverse theory", Journal = "Ann. Rev. Earth Planet. Sci.", Volume = "5", Year = "1977", Pages = "35--64" } @incollection{pedlosky:1987, Author = "Pedlosky, Joseph", Title = "Thermocline theories", Booktitle = "General Circulation of the Ocean", Editor = "H.D.I. Abarbanel and W.R.Young", Publisher = "Springer-Verlag", Year = "1987", Pages = "55--101", TOC = " 1. Introduction, 2. Formulation, 2.1 The equations of motion, 3. Conservation principles, 4. Scaling and the governing partial differential equation, 5. The search for similarity solutions, 6. Ideal fluid solutions of Welander, 7. Layered models" } @article{pedlosky:1971, Author = "Pedlosky, Joseph", Title = "Geophysical fluid dynamics", Journal = "Lectures in Applied Mathematics", Volume = "13", Year = "1971", Pages = "1--60" } @article{peixoto:1984, Author = "Peixoto, Jose P.", Title = "Physics of climate", Journal = "Reviews of Modern Physics", Volume = "56", Year = "1984", Pages = "365--429", TOC = " 1. Introduction, 2. Nature of the problem, a. Definition of the climate system, b. Components of the climate system, c. Interactions among the climate components, d. The climatic state, 3. The basic laws (mathematical formulation), a. Basic equations, b. Balance equations, c. Time-averaged balance or climate equations, d. Zonally averaged climate equations, e. Globally averaged climate equations, 4. The observed climate, a. Observational network, b. Radiation balance, c. Angular momentum balance, d. Water balance, e. Energy balance, f. Long-period fluctuations in the atmosphere-ocean system, 5. The atmospheric heat engine, a. Availability of energy in the atmosphere, b. The observed energy cycle, 6. Mathematical simulation of climate, a. Necessity of using numerical integration, b. Limits of predictability, c. Climate modelling, d. Hierarchy of climate models, e. Mathematical and physical structure of the models, f. General circulation models, 7. Mathematical simulation as an experimental tool, a. Uses and applications of models, b. Man's impact on climate, 8. Summary, a. Nature of the problem, b. The climate equations, c. The observed climate, d. Mathematical simulation of climate, e. Man's impact on climate" } @article{peltier:1981, Author = "Peltier, W. R.", Title = "Ice age geodynamics", Journal = "Ann. Rev. Earth Planet. Sci.", Volume = "9", Year = "1981", Pages = "199-225" } @inproceedings{peregrine:1991, Author = "Peregrine, D. Howell", Title = "Breaking water waves", Booktitle = "Nonlinear Topics in Ocean Physics", Editor = "A. R. Osborne", Publisher = "North-Holland", Year = "1991", Pages = "499--526", TOC = " 1. Introduction, 2. Why do waves break?, 3. The steepening of shallow-water waves, 4. Instabilities of water waves, 5. Disturbances and water wave breaking, 6. How waves break: overturning, 7. Splashing and vortices, 8. Quasi-steady breaking waves, 9. The initiation of spilling breakers" } @incollection{peregrine:198?, Author = "Peregrine, D. Howell", Title = "Equations for water waves and the approximation behind them", Booktitle = "?", Editor = "?", Publisher = "?", Year = "?", Pages = "?", TOC = " 1. Introduction, 2. Linearized equations, 3. Finite-amplitude shallow-water equations, 4. Boussinesq equations, 5. Korteweg-DeVries equations, 6. Linearized long-wave equations, 7. Equations for variable depth" } @article{philander:1973, Author = "Philander, S. G. H.", Title = "Equatorial Undercurrent: Measurements and theories", Journal = "RGSP", Volume = "2", Year = "1973", Pages = "513--570" } @article{philander:1978, Author = "Philander, S. G. H.", Title = "Forced ocean waves", Journal = "RGSP", Volume = "16", Year = "1978", Volume = "16" Pages = "15--46", TOC = " 1. Introduction, 2. Equations of motion, 3. The forcing function, 4. Vertically propagating latitudinal modes, a. Vertical structure, b. Eigenvalues h(i) and latitudinal eigenfunctions H(i), 5. Solutions in terms of vertical baroclinic modes, a. Vertical modes, b. Latitudinal structure of the solution, 6. Effects of coastal boundaries, 7. Effects of bottom topography, 8. Implications, a. Equatorially trapped waves, b. Inertia-gravity waves, c. Midocean eddies, d. Free waves excited by unstable currents, 9. Discussion, 10. Summary" } @article{philander:1980, Author = "Philander, S. G. H.", Title = "The Equatorial Undercurrent revisited", Journal = "Ann. Rev. of Earth and Planetary Sciences", Volume = "8", Year = "1980", Pages = "191--204", TOC = " 1. Introduction, 2. Steady-state models, 3. Generation of the equatorial undercurrent, 4. Decay of the equatorial undercurrent, 5. Variability of the equatorial undercurrent, 6. Instabilities and meanders, 7. Summary" } @article{philander:1985, Author = "Philander, S. G. H.", Title = "Tropical oceanography", Journal = "Advances in Geophysics", Volume = "28A", Year = "1985", Pages = "461--477", TOC = " 1. Introduction, 2. Jets and waves, 3. The equatorial undercurrent, 4. The Somali current, 5. Discussion" } @article{phillips.n:1963, Author = "Phillips, Norman A.", Title = "Geostrophic motion", Journal = "Reviews of Geophysics", Volume = "1", Year = "1963", Pages = "123--176", TOC = " 1. Introduction, 2. Geostrophic motion of type 1 in the atmosphere, 3. Applications of section 2, 4. Geostrophic motion of type 1 in the ocean, 5. Geostrophic motion of type 2 in the atmosphere, 6. Geostrophic motion of type 2 in the ocean, 7. Laboratory examples, 8. Concluding remarks" } @article{phillips.n:1970, Author = "Phillips, Norman A.", Title = "Models for weather prediction", Journal = "ARFM", Volume = "2", Year = "1970", Pages = "251--292" } @article{phillips.o:1974, Author = "Phillips, O. M.", Title = "Nonlinear dispersive waves", Journal = "ARFM", Volume = "6", Year = "1974", Pages = "93--110" } @article{phillips.o:1988, Author = "Phillips, O. M.", Title = "Remote sensing of the sea surface", Journal = "ARFM", Volume = "20", Year = "1988", Pages = "89--109" } @article{phillips.o:1991, Author = "Phillips, O. M.", Title = "The Kolmogorov spectrum and its oceanic cousins: a review", Journal = "Proc. R. Soc. Lond. A", Volume = "434", Year = "1991", Pages = "125--138", Note = " 1. Introduction, 2. The ideas of local equilibrium, 3. Measurements of equilibrium range spectra in homogeneous flow, 4. Spectra in stratified fluids" } @article{platzman:1968, Author = "Platzman, George W.", Title = "The Rossby wave", Journal = "QJRMS", Volume = "94", Year = "1968", Pages = "225--248", TOC = " 1. Introduction, 2. Rossby waves in the atmosphere, 3. Rossby waves in the ocean, 4. Rossby waves in the laboratory, 5. History" } @incollection{platzman:1970, Author = "Platzman, George W.", Title = "Ocean tides and related waves", Booktitle = "Mathematic Problems in the Physical Sciences", Volume = "14", Editor = "W. H. Reid", Publisher = "AMS", Year = "1970", Pages = "239--291", TOC = " 1.1 The ocean basins, 1.2 Geographic representation of tides, 2.1 The tidal force, 2.2 Rotational forces and gravity, 2.3 The tidal potential, 2.4 Harmonic analysis of the tide potential, 2.5 Hydrodynamical equations for ocean tides, 2.6 Potential vorticity, 3.1 Waves of the first class, 3.2 The plane Sverdrup wave, 3.3 The plane Poincare wave, 3.4 The plane Kelvin and Proudman waves" } @article{pond-bryan:1976, Author = "Pond, S. and K. Bryan", Title = "Numerical models of the ocean circulation", Journal = "RGSP", Volume = "14", Year = "1976", Pages = "243--263" } @inproceedings{pouquet:1985, Author = "Pouquet, A.", Title = "Statistical methods in turbulence", Booktitle = "Theoretical Approaches to Turbulence", Editor = "D. L. Dwoyer and M. Y. Hussaini and R. G. Voight", Publisher = "Springer-Verlag", Year = "1985", Pages = "209--230", Keyword = "turbulence, statistical methods", TOC = " I. Introduction, II. Statistical equilibria, III. Statistical closures of turbulence, 3.1 Introduction, 3.2 Transport coefficients, 3.3 Closures: a few results, IV. Statistical methods and chaotic behavior" } Pouquet, A., "An introduction to computational fluid dynamics," In _Computational Physics_, R.D. Kenway & G.S. Pawley, eds., SUSSP Publ., 1987, pp. 212-246. 1. Phenomenological aspects of turbulent flows 1.1 Introduction 1.2 The equations 1.3 A phenomenological description of turbulence 1.4 Transport coefficients 1.5 Turbulence with a spectral gap 1.6 Mathematics and numerics 2. Numerical techniques in computational fluid dynamics 2.1 Introduction 2.2 Temporal and spatial discretization 2.3 Data handling 2.4 Experimentation vs. modelling 3. Numerical experimentation on homogeneous turbulent flows 3.1 Dynamical systems 3.2 Shocks vs. solitons 3.3 Two-dimensional flows 3.4 Three-dimensional results 3.5 Conclusion Pratt, L. J., and P. A. Lundberg, "Hydraulics of rotating strait and sill flow," Ann. Rev. Fluid Mech., Vol. 23, 1991, pp. 81-106. 1. Introduction 2. Critical flow, upstream influence, and other basic concepts 3. The equations of rotating hydraulics 4. The cross-channel structure 5. The hydraulics (or along-channel structure) of flow with uniform potential vorticity 6. Nonuniform potential vorticity 7. Rotating jumps, bores, and time dependence 8. Density stratification 9. Future problems @article{prinn-fegley:1987, Author = "Prinn, R. G. and B. Fegley, Jr.", Title = "The atmospheres of Venus, Earth, and Mars: A critical comparison", Journal = "Ann. Rev. Earth Planet. Sci.", Volume = "15", Year = "1987", Pages = "171--212" } @article{prothero:1994, Author = "Prothero, Donald R.", Title = "The Late Eocene-Oligocene extinctions", Journal = "Ann. Rev. Earth Planet. Sci.", Volume = "22", Year = "1994", Pages = "145--165", TOC = " 1. Introduction, 2. The time scale, 3. The climatic and biotic record, a. The marine record, b. The terrestrial record, 4. The search for causes, a. Asteroids, comets, and volcanoes, b. Tectonic and climatic changes, 5. Conclusions" } Provenzale, A., A. R. Osborne, A. D. Kirwan, Jr., and L. Bergamasco, "A study of fluid parcel trajectories in large-scale ocean flows," In _Nonlinear Topics in Ocean Physics_, A. R. Osborne, ed., North-Holland, 1991, pp. 367-402. 1. Introduction 2. A general approach to the study of Lagrangian data 3. Monofractal properties of drifter trajectories 4. Multifractal nature of drifter trajectories 5. Statistical properties of drifter motions 6. Deterministic vs. stochastic models 7. Discussion and conclusions Pullin, D.I., "Contour dynamics methods," Ann. Rev. Fluid Mech., Vol. 24, 1992, pp. 89-115. 1. Introduction 2. Contour dynamics a. Numerical implementation b. Contour surgery 3. Two-dimensional vortices in an inviscid fluid a. Isolated vortex cores b. Multiple vortices c. Periodic vortex layers and arrays 4. Axisymmetric and quasigeostrophic flows a. Axisymmetric contour dynamics b. Quasigeostrophic contour dynamics 5. Filamentation a. Corner formation b. Contour dynamics as a Hamiltonian system 6. Concluding remarks