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Author: Guriĭ Ivanovich Marchuk
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 320
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Book Description
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: Guriĭ Ivanovich Marchuk
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
Book Description
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: G.I. Marchuk
Publisher: Springer
ISBN: 9783642613760
Category : Science
Languages : en
Pages : 0
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Book Description
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: D.L.T. Anderson
Publisher: Springer Science & Business Media
ISBN: 9400910134
Category : Science
Languages : en
Pages : 616
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Book Description
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: Jesús I. Díaz
Publisher: Springer Science & Business Media
ISBN: 3642187803
Category : Science
Languages : en
Pages : 132
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Book Description
In the framework of the Diderot Mathematical Forum (DMF) of the European Mathematical Society (EMS), December 19-20, 1997, a Videoconference was held linking three teams of specialists in Amsterdam, Madrid and Venice respectively. The general subject of this videoconference, the second one of the DMF series, was Mathematics and Environment and more specifically, Problems related to Water. This volume contains the texts of the Madrid site contributions with important, new and unpublished, examples on the modeling, mathematical and numerical analysis and treatment of the associated control problems of relevant questions arising in Oceanography and Environment.
Author: Aike Beckmann
Publisher: World Scientific
ISBN: 1848168241
Category : Science
Languages : en
Pages : 342
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Book Description
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: Avijit Gangopadhyay
Publisher: CRC Press
ISBN: 1000539059
Category : Science
Languages : en
Pages : 528
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Book Description
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: Akira Ōkubo
Publisher:
ISBN:
Category : Ocean circulation
Languages : en
Pages : 124
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Book Description
A working numerical model for oceanographic forecasting is being developed at the Department of Meteorology and Oceanography, New York University. In this paper we discuss a few aspects of physical problems in the basic model equations and boundary conditions. These are (1) realistic initial conditions which enable the forecasting model to track rapidly variable wind stresses and water properties imposed at the sea surface, (2) nonlinear eddy fluxes in the vertical direction, and (3) boundary mixing at lateral and bottom walls. In Problem (1), use is made of the results on theoretical models for the thermohaline circulation of the oceans to construct the realistic initial conditions. Thus the velocity and density fields are expressed by similarity forms that are valid in the interior of the ocean. In Problem (2), the dependence of the vertical eddy conductivity on water stratification is taken into account in the vertical flux of heat. The resultant diffusion process may describe realistic temperature profiles in the surface layer for a warming period. In Problem (3), two kinds of boundary mixing processes are studied. (Author).
Author: Robert N. Miller
Publisher: Cambridge University Press
ISBN: 1139461478
Category : Science
Languages : en
Pages : 231
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Book Description
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: Artem S. Sarkisyan
Publisher: Springer Science & Business Media
ISBN: 1402092083
Category : Science
Languages : en
Pages : 385
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Book Description
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: Keith Richard Thompson
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
