Nonlinear Topographic Effects in the Ocean and Atmosphere

Nonlinear Topographic Effects in the Ocean and Atmosphere
Author: L. J. Pratt
Publisher:
Total Pages: 595
Release: 2008
Genre: Hydrodynamics
ISBN:

Larry Pratt received his Ph. D. in physical oceanography in the Woods Hole/MIT Joint Program in 1982. He then served as a research associate and assistant research professor at the University of Rhode Island before joining the scientific staff at the Woods Hole Oceanographic Institution, where he is now a senior scientist. He is editor of The Physical Oceanography of Sea Straits and has authored or co-authored numerous articles on hydraulic effects in the ocean. J. A. (Jack) Whitehead received his Ph. D. in engineering and applied science from Yale University in 1968. After postdoctoral work and serving as assistant research geophysicist at the Institute of Geophysical and Planetary Physics at UCLA, he joined the scientific staff at the Woods Hole Oceanographic Institution, where he is now a Senior Scientist. He has authored or co-authored numerous articles on hydraulic effects in the ocean. Hydraulic effects can occur when high-speed ocean currents and atmospheric winds encounter strong topographic features. This book contains a deep and extensive discussion of geophysical flows that are broad enough to be influenced by Earth?s rotation and strong enough to experience classical hydraulic effects such as critical control and hydraulic jumps. Examples include deep overflows and coastal currents in the ocean and winds in the coastal marine layer. The material is appropriate for students at the graduate or advanced undergraduate level who have some elementary knowledge of fluid mechanics. Reviews of geophysical observations and of the hydraulics of flow with no background rotation are followed by chapters on models of currents in rotating channels, shock waves and time dependence, coastal flow, two-layer stratification, and jets. Although the primary focus is on the theory, a number of case studies, including the Faroe Bank overflow and the California coastal marine layer winds, are presented along with numerous laboratory experiments. Exercises are presented at the end of most sections. The presentation should allow the reader to develop a thorough understanding of the fundamentals of the hydraulics of rotating flows.

Rotating Hydraulics

Rotating Hydraulics
Author: Lawrence L.J. Pratt
Publisher: Springer Science & Business Media
Total Pages: 592
Release: 2007-12-26
Genre: Science
ISBN: 038749572X

This book thoroughly covers the development of the theory of rotating hydraulics, making frequent use of supporting laboratory models and observational data. The need to understand rotating hydraulic phenomena is growing as general interest in climate and global circulation is continuously increasing. The book details cutting-edge research and includes many exercises.

Topographic Effects in Stratified Flows

Topographic Effects in Stratified Flows
Author: Peter G. Baines
Publisher: Cambridge University Press
Total Pages: 559
Release: 2022-01-27
Genre: Science
ISBN: 1108481523

Explore the nature of density-stratified flow over and around topography, including applications to the flow of the atmosphere and ocean.

Topographic Effects on Mesoscale Ocean Circulation

Topographic Effects on Mesoscale Ocean Circulation
Author: Aviv Solodoch
Publisher:
Total Pages: 236
Release: 2020
Genre:
ISBN:

The trajectories and stability of boundary currents, of mesoscale vortices, and of recirculations, are often largely imposed by ocean bottom topography. Here several related questions in the influence of topography on mesoscale ocean circulation are investigated, largely motivated by observed circulation features in the sub-polar North Atlantic ocean. Observations show that boundary currents tend to become highly variable and shed material near sharp topographic variations, such as peninsula edges or corners of underwater capes. Baroclinic instability is understood to be one of the main causes of internal variability of large scale ocean circulation. Therefore the influence of horizontally curving topography on baroclinic instability is studied, under the hypothesis that the curvature may cause a higher tendency towards instability. That is done within a minimum complexity model, a two-layer quasi-geostrophic model, and compared with the classic rectilinear model. First necessary conditions for instability as well as growth rate bounds are derived. Growth rates are calculated analytically or numerically for several flow and topography profiles. The growth rate in uniform azimuthal flow is similar to that in uniform rectilinear azimuthal flow, but decreases with increasing depth-averaged flow component amplitude. That is recognized as a generalization of the so called "barotropic governor" effect. Instability growth rate is nonetheless higher with uniform azimuthal flow when isopycnal slope is similar to the topographic slope magnitude, a common scenario in the ocean. Non-normal instability is studied as well, and is generally intensified with uniform azimuthal flow. Thus a complex picture emerges as to the influence of horizontal curvature on baroclinic instability. The Deep Western Boundary Current (DWBC) carries water masses formed in deep convection sites southward, as part of the Atlantic Overturning Meridional Circulation (AMOC), a circulation pattern of climatic importance. Observations show that the DWBC "leaks" material at an anomalously high rate in its path along two underwater capes in the Newfoundland Basin. The leakiness, resulting in water masses dilution, and in AMOC alternative (interior) pathways southward, has not been studied extensively from a dynamical perspective before. A high-resolution realistic regional numerical model configuration and a particle advection model are developed for this purpose. The numerical results, as well as two datasets of ocean float trajectories, are analyzed to determine the dynamical causes of leakiness and its phenomenology. It is found that leakiness is concentrated in three "hotspots", in which topography turns and steepens. Mean Lagrangian velocity is offshore at these locations, showing that leakiness occurs by mean separation. The mean velocity does not have a substantial eddy-rectified component at the two northern hotspots, where most of the mean leakiness happens. Likewise, energetic analysis shows eddies do not locally force the mean offshore flow. Furthermore, potential vorticity is not diluted substantially by eddies along mean separating streamlines. These results are consistent with mean leakiness occurring by inertial separation. A scaling analysis also suggests that bathymetric conditions near the leakiness hotspots are supportive of inertial separation. Eddy processes also contribute substantially to leakiness, partially through chaotic advection. In several North Atlantic basins semi-stationary anticyclonic vortices (ACs) have been repeatedly observed for decades, within areas with bowl-like topography. These basins play significant parts in AMOC transport and transformations, and previous evidence suggests these ACs contribute to these processes. Therefore the formation processes of ACs above topographic bowls is studied here using idealized free evolution simulations in one or two isopycnal layers. It is demonstrated that ACs readily form under different (bowl-like) topographies and initial conditions. A non-dimensional nonlinearity parameter (epsilon ~ ratio of vorticity to bowl PV gradient), or a potential vorticity (PV) inhomogeneity (PVI) parameter, largely determine if a trapped AC is formed from random mesoscale-like initial conditions. Trapped ACs form and stay close to bowl-center for epsilon ~0.5 (PVI ~ 1). For epsilon ~ 1 (PVI ~ 0) vortices freely cross the topography by mutual interactions. For intermediate epsilon or PVI values, trapped ACs can form at different bowl radii since the PV gradient is nullified by the presence of a slope current. Trapped ACs generally form by repeated mergers of ACs within the bowl, and have anomalously low PV. Tracer analysis shows that ACs which eventually merge into the trapped AC are sourced from within (outside) the bowl in low (high) energy cases. Two different cross-bowl propagation mechanisms are examined. Monopole beta drift as well as dipole self propagation can both contribute to cross-bowl AC material transport, but the latter appears faster in relevant cases. The vertical structure of the trapped AC is studied as well. It is shown that it is top (bottom) intensified for top (bottom) intensified domain-mean initial conditions. That is consistent with observational structure but in contrast with the common vertical structure in Taylor Caps and of the slope current in our simulations, which remain bottom-intensified in all cases. Scaling laws for vertical structures are suggested in several cases. The robustness of AC formation to topographic complexity is studied, as well as its long-term evolution, and the results are contrasted with topographic turbulence theories, which predict a slope current but not a bowl-trapped AC.

The Theory of Large-Scale Ocean Circulation

The Theory of Large-Scale Ocean Circulation
Author: R. M. Samelson
Publisher: Cambridge University Press
Total Pages: 209
Release: 2011-06-27
Genre: Science
ISBN: 1139499009

Mounting evidence that human activities are substantially modifying the Earth's climate brings a new imperative to the study of the ocean's large-scale circulation. This textbook provides a concise but comprehensive introduction to the theory of large-scale ocean circulation, as it is currently understood and established. Students and instructors will benefit from the carefully chosen chapter-by-chapter exercises. This advanced textbook is invaluable for graduate students and researchers in the fields of oceanic, atmospheric and climate sciences, and other geophysical scientists, as well as physicists and mathematicians with a quantitative interest in the planetary fluid environment.

Physical Oceanography of Continental Shelves

Physical Oceanography of Continental Shelves
Author: K.H. Brink
Publisher: Princeton University Press
Total Pages: 273
Release: 2023-09-12
Genre: Science
ISBN: 0691236461

An authoritative graduate textbook and professional reference on the physical dynamics of the coastal ocean This book provides an up-to-date, systematic treatment of the processes governing the velocity, pressure, temperature, and salinity of the coastal ocean. Written by a leading expert with decades of experience with theory, observations, and numerical models, it builds on the idea that knowledge of fundamental phenomena allows for an understanding of continental shelf waters globally. Featuring a wealth of ocean observations from a wide variety of locales, Physical Oceanography of Continental Shelves is an essential resource for both students and researchers on this critical region of the world’s oceans. Covers the physical dynamics and properties of the coastal ocean, synthesizing theory and global observations Topics include turbulent boundary layers, wind driving, coastal-trapped waves, the inner shelf, tides, buoyancy currents, instabilities, and connections with the deep open ocean Ideal for graduate students in physical oceanography Includes exercises to strengthen understanding and draws on the author’s experience teaching the subject A must for oceanographers and engineers seeking a comprehensive synthesis of continental shelf processes

The Interaction of Ocean Waves and Wind

The Interaction of Ocean Waves and Wind
Author: Peter Janssen
Publisher: Cambridge University Press
Total Pages: 310
Release: 2004-10-28
Genre: Science
ISBN: 0521465400

This book was published in 2004. The Interaction of Ocean Waves and Wind describes in detail the two-way interaction between wind and ocean waves and shows how ocean waves affect weather forecasting on timescales of 5 to 90 days. Winds generate ocean waves, but at the same time airflow is modified due to the loss of energy and momentum to the waves; thus, momentum loss from the atmosphere to the ocean depends on the state of the waves. This volume discusses ocean wave evolution according to the energy balance equation. An extensive overview of nonlinear transfer is given, and as a by-product the role of four-wave interactions in the generation of extreme events, such as freak waves, is discussed. Effects on ocean circulation are described. Coupled ocean-wave, atmosphere modelling gives improved weather and wave forecasts. This volume will interest ocean wave modellers, physicists and applied mathematicians, and engineers interested in shipping and coastal protection.

Geophysical Fluid Dynamics II

Geophysical Fluid Dynamics II
Author: Emin Özsoy
Publisher: Springer Nature
Total Pages: 332
Release: 2021-08-13
Genre: Science
ISBN: 3030749347

This book develops a fundamental understanding of geophysical fluid dynamics based on a mathematical description of the flows of inhomogeneous fluids. It covers these topics: 1. development of the equations of motion for an inhomogeneous fluid 2. review of thermodynamics 3. thermodynamic and kinetic energy equations 4. equations of state for the atmosphere and the ocean, salt, and moisture effects 5. concepts of potential temperature and potential density 6. Boussinesq and quasi-geostrophic approximations 7. conservation equations for vorticity, mechanical and thermal energy instability theories, internal waves, mixing, convection, double-diffusion, stratified turbulence, fronts, intrusions, gravity currents Graduate students will be able to learn and apply the basic theory of geophysical fluid dynamics of inhomogeneous fluids on a rotating earth, including: 1. derivation of the governing equations for a stratified fluid starting from basic principles of physics 2. review of thermodynamics, equations of state, isothermal, adiabatic, isentropic changes 3. scaling of the equations, Boussinesq approximation, applied to the ocean and the atmosphere 4. examples of stratified flows at geophysical scales, steady and unsteady motions, inertia-gravity internal waves, quasi-geostrophic theory 5. vorticity and energy conservation in stratified fluids 6.boundary layer convection in stratified containers and basins

Encyclopedia of Ocean Sciences

Encyclopedia of Ocean Sciences
Author:
Publisher: Academic Press
Total Pages: 4318
Release: 2019-04-12
Genre: Science
ISBN: 0128130822

The oceans cover 70% of the Earth’s surface, and are critical components of Earth’s climate system. This new edition of Encyclopedia of Ocean Sciences, Six Volume Set summarizes the breadth of knowledge about them, providing revised, up to date entries as well coverage of new topics in the field. New and expanded sections include microbial ecology, high latitude systems and the cryosphere, climate and climate change, hydrothermal and cold seep systems. The structure of the work provides a modern presentation of the field, reflecting the input and different perspective of chemical, physical and biological oceanography, the specialized area of expertise of each of the three Editors-in-Chief. In this framework maximum attention has been devoted to making this an organic and unified reference. Represents a one-stop. organic information resource on the breadth of ocean science research Reflects the input and different perspective of chemical, physical and biological oceanography, the specialized area of expertise of each of the three Editors-in-Chief New and expanded sections include microbial ecology, high latitude systems and climate change Provides scientifically reliable information at a foundational level, making this work a resource for students as well as active researches

Ocean Circulation in Three Dimensions

Ocean Circulation in Three Dimensions
Author: Barry A. Klinger
Publisher: Cambridge University Press
Total Pages: 491
Release: 2019-03-14
Genre: Science
ISBN: 0521768438

An innovative survey of large-scale ocean circulation that links observations, conceptual models, numerical models, and theories.