Mathematical Modeling In Studies Of Arctic Ocean Circulation PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematical Modeling In Studies Of Arctic Ocean Circulation PDF full book. Access full book title Mathematical Modeling In Studies Of Arctic Ocean Circulation.
| Author | : N. Yu Doronin |
| Publisher | : |
| Total Pages | : 7 |
| Release | : 1992 |
| Genre | : |
| ISBN | : |
Download Mathematical Modeling in Studies of Arctic Ocean Circulation Book in PDF, ePub and Kindle
A hierarchy of mathematical models adapted to certain physical phenomena of the Arctic Ocean has been developed. The density structure of the Arctic Ocean water is characterized by a well-marked stratification. This allows us to describe it by means of models with a discrete stratification. In this context a two dimensional model of the upper 200 m of the ocean can be considered as the lowest level of a hierarchy of models. With the help of this model, coupled with the ice drift model, seasonal oscillations of sea level, and variability of barotropic water circulation in the annual cycle, affected by wind, atmospheric pressure, and river runoff, were studied. The same model is used to successfully predict level oscillations and ice drift up to 6 days in advance. The multi-layer models are suggested as models of the second level. For example, energy concentration in the upper layer of the ocean, the main property of baroclinicity, is well simulated in the two-layer version. The advantage of these models as compared with those of the first level, is that the depth of the interface is given as a solution. The diagnostic two-layer model is quite simple to use on small computers. The prognostic two-layer model allows one to estimate the time when the water circulation becomes stationary in the ocean of real depth. The diagnostic three-dimensional ocean model with a continuous stratification is suggested as the third level model. The elliptical equation relative to denivelation of the free surface is the governing equation of the model. The estimation of the terms of the motion and continuity equations indicates the need to introduce geostrophic corrections for non-linear effects and a horizontal turbulent exchange when calculating vertical current velocity.
| Author | : Guriĭ Ivanovich Marchuk |
| Publisher | : Springer |
| Total Pages | : 320 |
| Release | : 1988-10-05 |
| Genre | : Mathematics |
| ISBN | : |
Download Mathematical Modelling of Ocean Circulation Book in PDF, ePub and Kindle
The problems of ocean dynamics present more and more com plex tasks for investigators, based on the continuously sophisti cation of theoretical models, which are applied with the help of universal and efficient algorithms of numerical mathematics. The present level of our knowledge in the field of mathemat ical physics and numerical mathematics allows one to give rather complete theoretical analysis of basic statements of problems as well as numerical algorithms. Our task is to perform such analy sis and also to analyze the results of calculations in order to improve our knowledge of the mechanism of large-scale hy drological processes occurring in the World Ocean. The new level of numerical mathematics has essentially influenced , the formation of new solution methods of ocean dynamics prob lems, among which an important one is the splitting method, which has been already widely practised in various fields of science and engineering. A number of monographs by N. N. Yanenko, A. A. Samarsky, G.!. Marchuk (Rozhdestvensky and Yanenko 1968; Samarsky and Andreyev 1976; Marchuk 1970, 1980b) and others are devoted to the description of this methods. But the methods of the splitting theory require extensive creative work for their application to concrete problems, which are peculiar, as a rule, in problem formulation. The success of the application of these methods is related to the deep understanding of the essence of the described processes. In the last decades fundamental works of Arakawa, K.
| Author | : Aike Beckmann |
| Publisher | : World Scientific |
| Total Pages | : 342 |
| Release | : 1999-04-29 |
| Genre | : Science |
| ISBN | : 1848168241 |
Download Numerical Ocean Circulation Modeling Book in PDF, ePub and Kindle
This book offers a comprehensive overview of the models and methods employed in the rapidly advancing field of numerical ocean circulation modeling. For those new to the field, concise reviews of the equations of oceanic motion, sub-grid-scale parameterization, and numerical approximation techniques are presented and four specific numerical models, chosen to span the range of current practice, are described in detail. For more advanced users, a suite of model test problems is developed to illustrate the differences among models, and to serve as a first stage in the quantitative evaluation of future algorithms. The extensive list of references makes this book a valuable text for both graduate students and postdoctoral researchers in the marine sciences and in related fields such as meteorology, and climate and coupled biogeochemical modeling.
| Author | : Artem S. Sarkisyan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 385 |
| Release | : 2009-05-13 |
| Genre | : Science |
| ISBN | : 1402092083 |
Download Modelling Ocean Climate Variability Book in PDF, ePub and Kindle
In this wide-ranging and comprehensive review of the historical development and current status of ocean circulation models, the analysis extends from simple analytical approaches to the latest high-resolution numerical models with data assimilation. The authors, both of whom are pioneer scientists in ocean and shelf sea modelling, look back at the evolution of Western and Eastern modelling methodologies during the second half of the last century. They also present the very latest information on ocean climate modelling and offer examples for a number of oceans and shelf seas. The book includes a critical analysis of literature on ocean climate variability modelling, as well as assessing the strengths and weaknesses of the best-known modelling techniques. It also anticipates future developments in the field, focusing on models based on a synthesis of numerical simulation and field observation, and on nonlinear thermodynamic model data synthesis.
| Author | : D.L.T. Anderson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 616 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9400910134 |
Download Oceanic Circulation Models: Combining Data and Dynamics Book in PDF, ePub and Kindle
This book which is the outcome of a NATO-Advanced Study Institute on Mod elling the Ocean Circulation and Geochemical Tracer Transport is concerned with using models to infer the ocean circulation. Understanding our climate is one of the major problems of the late twentieth century. The possible climatic changes resulting from the rise in atmospheric carbon dioxide and other trace gases are of primary interest and the ocean pla. ys a ma. jor role in determining the magnitude, temporal evolution and regional distribution of those changes. Because of the poor observational basis the ocean general circulation is not well understood. The World Ocean Circulation Experiment (WOCE) which is now underway is an attempt to improve our knowledge of ocean dynamics and thermodynamics on global scales relevant to climate change. Despite those efforts, the oceanic data base is likely to remain scarce and it is crucial to use appropriate methods in order to extract the maximum amount of information from observations. The book contains a thorough analysis of methods to combine data of val'ious types with dynamical concepts, and to assimilate data directly into ocean models. The properties of geocl;temical tracers such as HC, He, Tritium and Freons and how they may be used to impose integral constraints on the ocean circulation are discussed.
| Author | : Robert N. Miller |
| Publisher | : Cambridge University Press |
| Total Pages | : 231 |
| Release | : 2007-01-18 |
| Genre | : Science |
| ISBN | : 1139461478 |
Download Numerical Modeling of Ocean Circulation Book in PDF, ePub and Kindle
The modelling of ocean circulation is important not only for its own sake, but also in terms of the prediction of weather patterns and the effects of climate change. This 2007 book introduces the basic computational techniques necessary for all models of the ocean and atmosphere, and the conditions they must satisfy. It describes the workings of ocean models, the problems that must be solved in their construction, and how to evaluate computational results. Major emphasis is placed on examining ocean models critically, and determining what they do well and what they do poorly. Numerical analysis is introduced as needed, and exercises are included to illustrate major points. Developed from notes for a course taught in physical oceanography at the College of Oceanic and Atmospheric Sciences at Oregon State University, this book is ideal for graduate students of oceanography, geophysics, climatology and atmospheric science, and researchers in oceanography and atmospheric science.
| Author | : G.I. Marchuk |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 1988 |
| Genre | : Science |
| ISBN | : 9783642613760 |
Download Mathematical Modelling of Ocean Circulation Book in PDF, ePub and Kindle
The problems of ocean dynamics present more and more com plex tasks for investigators, based on the continuously sophisti cation of theoretical models, which are applied with the help of universal and efficient algorithms of numerical mathematics. The present level of our knowledge in the field of mathemat ical physics and numerical mathematics allows one to give rather complete theoretical analysis of basic statements of problems as well as numerical algorithms. Our task is to perform such analy sis and also to analyze the results of calculations in order to improve our knowledge of the mechanism of large-scale hy drological processes occurring in the World Ocean. The new level of numerical mathematics has essentially influenced , the formation of new solution methods of ocean dynamics prob lems, among which an important one is the splitting method, which has been already widely practised in various fields of science and engineering. A number of monographs by N. N. Yanenko, A. A. Samarsky, G.!. Marchuk (Rozhdestvensky and Yanenko 1968; Samarsky and Andreyev 1976; Marchuk 1970, 1980b) and others are devoted to the description of this methods. But the methods of the splitting theory require extensive creative work for their application to concrete problems, which are peculiar, as a rule, in problem formulation. The success of the application of these methods is related to the deep understanding of the essence of the described processes. In the last decades fundamental works of Arakawa, K.
| Author | : Henk A. Dijkstra |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 408 |
| Release | : 2008-10-01 |
| Genre | : Science |
| ISBN | : 3540763759 |
Download Dynamical Oceanography Book in PDF, ePub and Kindle
This textbook provides a mathematical introduction to the theory of large-scale ocean circulation. It is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinary differential equations. At the end of each chapter several exercises are formulated. Many of these are aimed to further develop methodological skills and to get familiar with the physical concepts. New material is introduced in only a few of these exercises. Fully worked out answers to all exercises can be downloaded from the book’s web site.
| Author | : Avijit Gangopadhyay |
| Publisher | : CRC Press |
| Total Pages | : 528 |
| Release | : 2022-02-14 |
| Genre | : Science |
| ISBN | : 1000539059 |
Download Introduction to Ocean Circulation and Modeling Book in PDF, ePub and Kindle
Introduction to Ocean Circulation and Modeling provide basics for physical oceanography covering ocean properties, ocean circulations and their modeling. First part of the book explains concepts of oceanic circulation, geostrophy, Ekman, Sverdrup dynamics, Stommel and Munk problems, two-layer dynamics, stratification, thermal and salt diffusion, vorticity/instability, and so forth. Second part highlights basic implementation framework for ocean models, discussion of different models, and their unique differences from the common framework with basin-scale modeling, regional modeling, and interdisciplinary modeling at different space and time scales. Features: Covers ocean properties, ocean circulations and their modeling. Explains the centrality of a rotating earth and its implications for ocean and atmosphere in a simple manner. Provides basic facts of ocean dynamics. Illustrative diagrams for clear understanding of key concepts. Outlines interdisciplinary and complex models for societal applications. The book aims at Senior Undergraduate Students, Graduate Students and Researchers in Ocean Science and Engineering, Ocean Technology, Physical Oceanography, Ocean Circulation, Ocean Modeling, Dynamical Oceanography and Earth Science.
| Author | : S. I. Pai |
| Publisher | : |
| Total Pages | : 27 |
| Release | : 1977 |
| Genre | : Sea ice |
| ISBN | : |
Download Mathematical model for dynamics of pack ice in the Arctic Ocean and its surrounding seas Book in PDF, ePub and Kindle
By two-phase flow theory, a new mathematical model of the ice dynamics in the Arctic Ocean is formulated. The theory is developed from both microscopic and macroscopic approaches. The effective two-dimensional fundamental equations of ice circulation in the Arctic Ocean are derived and compared with other models used in literature. Our model is the most general one in literature and it gives many new insights of various important terms in the compactness equation and in the equations of motion of ice dynamics. Further development and application of this model to specific cases in the Polar Ocean are recommended. (Author).
