Download or read book MATHEMATICAL MODELLING OF TURBULENT DIFFUSION IN THE OCEAN written by and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modelling of Turbulent Diffusion in the Environment written by Institute of Mathematics and Its Applications and published by . This book was released on 1979 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Aspects of the New York University Mathematical Model of the Ocean for Oceanographic Forecasting written by Akira Ōkubo and published by . This book was released on 1970 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Mathematical Modeling of Turbulent Diffusion Phenomena written by James Richard Hays and published by . This book was released on 1964 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advection and Diffusion in Random Media written by Leonid Piterbarg and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from our interest in sea surface temperature variability. Our initial, though entirely pragmatic, goal was to derive adequate mathemat ical tools for handling certain oceanographic problems. Eventually, however, these considerations went far beyond oceanographic applications partly because one of the authors is a mathematician. We found that many theoretical issues of turbulent transport problems had been repeatedly discussed in fields of hy drodynamics, plasma and solid matter physics, and mathematics itself. There are few monographs concerned with turbulent diffusion in the ocean (Csanady 1973, Okubo 1980, Monin and Ozmidov 1988). While selecting material for this book we focused, first, on theoretical issues that could be helpful for understanding mixture processes in the ocean, and, sec ond, on our own contribution to the problem. Mathematically all of the issues addressed in this book are concentrated around a single linear equation: the stochastic advection-diffusion equation. There is no attempt to derive universal statistics for turbulent flow. Instead, the focus is on a statistical description of a passive scalar (tracer) under given velocity statistics. As for applications, this book addresses only one phenomenon: transport of sea surface temperature anomalies. Hopefully, however, our two main approaches are applicable to other subjects.
Download or read book Marine Turbulence written by Helmut Z. Baumert and published by Cambridge University Press. This book was released on 2005-04-04 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive overview of marine turbulence and mixing for students, scientists, engineers.
Download or read book Applied Turbulence Modelling in Marine Waters written by Hans Burchard and published by Springer. This book was released on 2007-08-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simulation of turbulent mixing processes in marine waters is one of the most pressing tasks in oceanography. It is rendered difficult by the various complex phenomena occurring in these waters like strong stratification, ex ternal and internal waves, wind generated turbulence, Langmuir circulation etc. The need for simulation methods is especially great in this area because the physical processes cannot be investigated in the laboratory. Tradition ally, empirical bulk type models were used in oceanography, which, however, cannot account for many of the complex physical phenomena occurring. In engineering, statistical turbulence models describing locally the turbulence mixing processes were introduced in the early seventies, such as the k E model which is still one of the most widely used models in Computational Fluid Dy namics. Soon after, turbulence models were applied more and more also in the atmospheric sciences, and here the k kL model of Mellor and Yamada became particularly popular. In oceanography, statistical turbulence mod els were introduced rather late, i. e. in the eighties, and mainly models were taken over from the fields mentioned above, with some adjustments to the problems occurring in marine waters. In the literature on turbulence model applications to oceanography problems controversial findings and claims are reported about the various models, creating also an uncertainty on how well the models work in marine water problems.
Download or read book Turbulence and Diffusion in Stable Environments written by Julian C. R. Hunt and published by Oxford University Press, USA. This book was released on 1985 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Download or read book A Review of Theoretical Models of Turbulent Diffusion in the Sea written by Akira Ōkubo and published by . This book was released on 1962 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modelling of Estuarine Physics written by Jürgen Sündermann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Honor of Prof. Walter Hansen on Occasion of his 7o. Birthday
Download or read book Ocean Modeling and Parameterization written by Eric P. Chassignet and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The realism of large scale numerical ocean models has improved dra matically in recent years, in part because modern computers permit a more faithful representation of the differential equations by their algebraic analogs. Equally significant, if not more so, has been the improved under standing of physical processes on space and time scales smaller than those that can be represented in such models. Today, some of the most challeng ing issues remaining in ocean modeling are associated with parameterizing the effects of these high-frequency, small-space scale processes. Accurate parameterizations are especially needed in long term integrations of coarse resolution ocean models that are designed to understand the ocean vari ability within the climate system on seasonal to decadal time scales. Traditionally, parameterizations of subgrid-scale, high-frequency mo tions in ocean modeling have been based on simple formulations, such as the Reynolds decomposition with constant diffusivity values. Until recently, modelers were concerned with first order issues such as a correct represen tation of the basic features of the ocean circulation. As the numerical simu lations become better and less dependent on the discretization choices, the focus is turning to the physics of the needed parameterizations and their numerical implementation. At the present time, the success of any large scale numerical simulation is directly dependent upon the choices that are made for the parameterization of various subgrid processes.
Download or read book Stochastic Modelling in Physical Oceanography written by Robert Adler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to understand, as best they could, tides and currents, eddies and vortices, for lack of understanding often led to loss of live. These primitive oceanographers were, of course, primarily statisticians. They collected what empirical data they could, and passed it down, ini tially by word of mouth, to their descendants. Data collection continued throughout the millenia, and although data bases became larger, more re liable, and better codified, it was not really until surprisingly recently that mankind began to try to understand the physics behind these data, and, shortly afterwards, to attempt to model it. The basic modelling tool of physical oceanography is, today, the partial differential equation. Somehow, we all 'know" that if only we could find the right set of equations, with the right initial and boundary conditions, then we could solve the mysteries of ocean dynamics once and for all.
Download or read book Ocean Waves Mechanics Computational Fluid Dynamics and Mathematical Modelling written by Canadian Applied Mathematics Society. International Conference and published by . This book was released on 1990 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Modeling of Ocean Dynamics written by Igorʹ Evgenʹevich Timchenko and published by Routledge. This book was released on 1984 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modelling of Ocean Circulation written by Guriĭ Ivanovich Marchuk and published by Springer. This book was released on 1988-10-05 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Ocean Circulation Modeling written by Aike Beckmann and published by World Scientific. This book was released on 1999-04-29 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Models in Coastal Engineering written by Christopher G. Koutitas and published by . This book was released on 1988 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a basic methodology for the formulation and numerical solution of mathematical models in coastal engineering. First, the mathematical theory of waves is considered; the coastal circulation due to various generating factors, such as tide, wind, density variation and waves; finally pollutant advective diffusion and sediment transport in the surf zone and wider coastal domain. The book contains numerous illustrative worked examples with the corresponding computer listings in BASIC. The book will enable engineering consultants, researchers, and postgraduate students in coastal engineering and oceanography to apply the sophisticated techniques used in major coastal engineering works to small scale design using microcomputers.
