The Mathematics Of Marine Modelling

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The Mathematics of Marine Modelling

Author : Henk Schuttelaars,Arnold Heemink,Eric Deleersnijder
Publisher : Springer Nature
Page : 324 pages
File Size : 49,8 Mb
Release : 2022-11-30
Category : Mathematics
ISBN : 9783031095597

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The Mathematics of Marine Modelling by Henk Schuttelaars,Arnold Heemink,Eric Deleersnijder Pdf

Over the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries. The decision makers rely more and more frequently on model results for the management of these regions. Some modellers are insufficiently aware of the theoretical underpinning of the simulation tools they are using. On the other hand, a number of applied mathematicians tend to view marine sciences as a domain in which they would like to use the tools they have a good command of. Bridging the gap between model users and applied mathematicians is the main objective of the present book. In this respect a vast number of issues in which mathematics plays a crucial role will be addressed.

Modelling Coastal and Marine Processes

Author : Phil Dyke
Publisher : World Scientific Publishing Company
Page : 616 pages
File Size : 51,6 Mb
Release : 2016-02-05
Category : Science
ISBN : 9781783267729

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Modelling Coastal and Marine Processes by Phil Dyke Pdf

Modelling is now an accepted part in the understanding, prediction and planning of environmental strategies. Perfect for undergraduate students and non-specialist readers, Modelling Coastal and Marine Processes (2nd Edition) offers an introduction into how coastal and marine models are constructed and used. The mathematics, statistics and numerical techniques used are explained in the first few chapters, making this book accessible to those without a high-level maths background. Later chapters cover modelling sea bed friction, tides, shallow sea dynamics, and ecosystem dynamics. Importantly, there is also a chapter on modelling the impact of climate change on coastal and near shore processes. New to this revised edition is a chapter on tides, tsunamis and the prediction of sea level, and additional material on the new application of the numerical techniques: flux corrected transport, finite volumes and adaptive grids to coastal and marine modelling.

Introduction to the Modelling of Marine Ecosystems

Author : W. Fennel,T. Neumann
Publisher : Elsevier
Page : 308 pages
File Size : 43,6 Mb
Release : 2004-08-24
Category : Science
ISBN : 9780080534978

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Introduction to the Modelling of Marine Ecosystems by W. Fennel,T. Neumann Pdf

Modelling of marine ecosystems is a rapidly developing branch of interdisciplinary oceanographic research. Introduction to the Modelling of Marine Ecosystems is the first consistent and comprehensive introduction to the development of models of marine ecosystems. It begins with simple first steps of modelling and develops more and more complex models. This step-by-step approach to increasing the complexity of the models is intended to allow students of biological oceanography and interested scientists with only limited experience in mathematical modelling to explore the theoretical framework and familiarize oneself with the methods. The book describes how biological model components can be integrated into three dimensional circulation models and how such models can be used for 'numerical experiments'. The book illustrates the mathematical aspects of modelling and gives application examples. The tutorial aspect of the book is supported by a set of MATLAB programs, which are provided on an accompanying CD-Rom and which can be used to reproduce many of the results presented in the book. Also available in paperback, ISBN 0-444-51704-9

Numerical Modelling: Applications to Marine Systems

Author : J. Noye
Publisher : Elsevier
Page : 294 pages
File Size : 55,5 Mb
Release : 1987-09-01
Category : Mathematics
ISBN : 0080872565

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Numerical Modelling: Applications to Marine Systems by J. Noye Pdf

The thirteen papers presented in this book are based on talks given at the workshop on Numerical Modelling of Marine Systems held at the University of Adelaide, South Australia in February 1986. Several of the articles are a direct outcome of two special sessions held on modelling of Open Boundary Conditions and on the Transport of Pollutants. Other articles in the book cover topics such as numerical modelling of wind-driven flow in shallow seas, sediment transport in estuaries, internal tides and comparison of numerical methods for solving tidal and pollutant transport problems.

Modeling Methods for Marine Science

Author : David M. Glover,William J. Jenkins,Scott C. Doney
Publisher : Cambridge University Press
Page : 589 pages
File Size : 54,7 Mb
Release : 2011-06-02
Category : Science
ISBN : 9781139500715

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Modeling Methods for Marine Science by David M. Glover,William J. Jenkins,Scott C. Doney Pdf

This advanced textbook on modeling, data analysis and numerical techniques for marine science has been developed from a course taught by the authors for many years at the Woods Hole Oceanographic Institute. The first part covers statistics: singular value decomposition, error propagation, least squares regression, principal component analysis, time series analysis and objective interpolation. The second part deals with modeling techniques: finite differences, stability analysis and optimization. The third part describes case studies of actual ocean models of ever increasing dimensionality and complexity, starting with zero-dimensional models and finishing with three-dimensional general circulation models. Throughout the book hands-on computational examples are introduced using the MATLAB programming language and the principles of scientific visualization are emphasised. Ideal as a textbook for advanced students of oceanography on courses in data analysis and numerical modeling, the book is also an invaluable resource for a broad range of scientists undertaking modeling in chemical, biological, geological and physical oceanography.

Modelling the Dispersion of Radionuclides in the Marine Environment

Author : Raúl Periánez
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 40,7 Mb
Release : 2005-03-07
Category : Nature
ISBN : 3540248757

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Modelling the Dispersion of Radionuclides in the Marine Environment by Raúl Periánez Pdf

This book is a practical guide to the subject of numerical modelling of radioactivity dispersion in the marine environment. Thus, the techniques and numerical procedures required are explained in detail, with the aim of enabling the reader to build a real mathematical model. The book covers basic concepts and techniques, such as solving the advection-diffusion equation in a simple 1D form, as well as the most recent developments (full 3D models for non-conservative radionuclides including chemical reactions and speciation). A chapter is dedicated to the basic hydrodynamic modelling that is always required to simulate the dispersion of tracers in the sea; Eulerian and Lagrangian modelling techniques are also described. A chapter describes sensitivity and uncertainty analysis, the final stage in modelling works. A review on some published radionuclide dispersion models is also included. The book also includes a CD-ROM with a Lagrangian dispersion model of the Strait of Gibraltar and several Fortran codes developed by the author which can be used to reproduce some of the cases described in the book.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

Author : Sarah P. Otto,Troy Day
Publisher : Princeton University Press
Page : 745 pages
File Size : 43,8 Mb
Release : 2011-09-19
Category : Science
ISBN : 9781400840915

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A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by Sarah P. Otto,Troy Day Pdf

Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Modeling Marine Systems

Author : A. M. Davies
Publisher : Unknown
Page : 452 pages
File Size : 43,9 Mb
Release : 2017
Category : Electronic books
ISBN : 1351074709

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Modeling Marine Systems by A. M. Davies Pdf

"This two-volume reference presents a series of review and research articles on advances in computing, marine physics, and remote sensing and addresses their importance to shallow sea modeling. Intended as a tribute to Dr. Norman Heaps, topics in the book reflect the range and diversity of his work, as well as his influence on international marine science. Topics discussed include numerical techniques, flow in homogenous sea regions, stratified flows, lake regimes, validation of numerical models, remote sensing as a method to collect oceanographic data at the sea surface, and bottom boundary modeling. Marine scientists actively involved in mathematical modeling and scientists who are interested in using models as tools to gain more insight and understanding of the processes they are observing will find this text useful."--Provided by publisher.

The Mathematics of Models for Climatology and Environment

Author : Jesus I. Diaz
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 42,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783642606038

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The Mathematics of Models for Climatology and Environment by Jesus I. Diaz Pdf

This book is the culmination of the NATO Advanced Study Institute on The Mathematics of Models for Climatology and Environment which was held at Puerto de la Cruz ,Tenerife, Spain during 11-21 January 1995. One of the main goals of the ASI was to establish a bridge between mathematical modellers on the one hand and physical oceanographers and climatologists on the other. The book is divided into fourth parts containing a total of 16 chapters: Parts I, II and III are devoted to general models and Part IV to models related to some local problems. Most of the mathematical models here considered involve systems of nonlinear partial differential equations. The mathemat ical treatment cover a large list of subjects: existence and uniqueness for well-possed problems, large time behaviour, stability, bifurcation,diagrams of equilibria, conditions for the occurrence of interfaces or free boundaries, numerical algorithms and its implementation, controllability of the problems, etc. I thank Jacques- Louis Lions and Cornelius Johannes van Duijn for their guidance and collaboration as co-directors of the AS!. I also thank J.F.Padial and G. Diaz for their help in the planning and conduct of the ASI as well as in the preparation of this book.

Applied Turbulence Modelling in Marine Waters

Author : Hans Burchard
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 42,9 Mb
Release : 2002-09-23
Category : Science
ISBN : 9783540437956

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Applied Turbulence Modelling in Marine Waters by Hans Burchard Pdf

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.

Applied Turbulence Modelling in Marine Waters

Author : Hans Burchard
Publisher : Springer
Page : 218 pages
File Size : 52,7 Mb
Release : 2008-01-26
Category : Science
ISBN : 9783540454199

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Applied Turbulence Modelling in Marine Waters by Hans Burchard Pdf

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.

Advanced Physical Oceanographic Numerical Modelling

Author : James J. O'Brien
Publisher : Springer Science & Business Media
Page : 606 pages
File Size : 51,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401706278

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Advanced Physical Oceanographic Numerical Modelling by James J. O'Brien Pdf

This book is a direct result of the NATO Advanced Study Institute held in Banyuls-sur-mer, France, June 1985. The Institute had the same title as this book. It was held at Laboratoire Arago. Eighty lecturers and students from almost all NATO countries attended. The purpose was to review the state of the art of physical oceanographic numerical modelling including the parameterization of physical processes. This book represents a cross-section of the lectures presented at the ASI. It covers elementary mathematical aspects through large scale practical aspects of ocean circulation calculations. It does not encompass every facet of the science of oceanographic modelling. We have, however, captured most of the essence of mesoscale and large-scale ocean modelling for blue water and shallow seas. There have been considerable advances in modelling coastal circulation which are not included. The methods section does not include important material on phase and group velocity errors, selection of grid structures, advanced methods to conservation in highly nonlinear systems, inverse methods and other important ideas for modern ocean modelling. Hopefully, this book will provide a foundation of knowledge to support the growth of this emergent field of science. The NATO Advanced Study Institute was supported by many organi zations. The seed money, of course, was received from the NATO Science Commi ttee. Many national organizations provided travel money for partiCipants. In France, CNES, IFREMER, and CNRS provided funds to support the French participants. In the U. S.

Mathematics for Dynamic Modeling

Author : Edward Beltrami
Publisher : Academic Press
Page : 294 pages
File Size : 48,7 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483267869

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Mathematics for Dynamic Modeling by Edward Beltrami Pdf

Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.

Coastal and Shelf Sea Modelling

Author : P. P. G. Dyke
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 44,7 Mb
Release : 2001
Category : Mathematics
ISBN : 0792379950

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Coastal and Shelf Sea Modelling by P. P. G. Dyke Pdf

Since the computing revolution, modelling has become the most important way in which we further our knowledge about how the sea moves and how the processes in the sea operate. The coast and the continental shelf are two of the most important areas of the sea to understand. Coastal and Shelf Sea Modelling is therefore very timely and important. In this text, modelling the processes that occur in the sea is motivated continually through real life examples. Sometimes these are incorporated naturally within the text, but there are also a number of case studies taken from the recent research literature. These will be particularly valuable to students as they are presented in a style more readily accessible than that found in a typical research journal. The motivation for modelling is care for the environment. The well publicised problem of global warming, the phenomenon of El Niño, more localised pollution scares caused by tanker accidents and even smaller scale coastal erosion caused by storms all provide motivation for modelling and all get coverage in this text. Particularly novel features of the book include a systematic treatment of the modelling process in a marine context, the inclusion of diffusion in some detail, ecosystems modelling and a brief foray into wave prediction. The final chapter provides the reader with the opportunity to do some modelling; there are many worked examples followed by exercises that readers can try themselves. All answers are provided. Throughout, the style is informal and the technicalities in term of mathematics are kept to a minimum. Coastal and Shelf Sea Modelling is particularly suitable for graduate marine and oceanographic modelling courses, but will also prove useful to coastal engineers and students at any level interested in the quantitative modelling of marine processes. It is stressed that only a minimal level of mathematics (first year calculus or less) is required; the style and content is introductory.

Mathematical Modeling of Inland Vessel Maneuverability Considering Rudder Hydrodynamics

Author : Jialun Liu
Publisher : Springer Nature
Page : 252 pages
File Size : 42,6 Mb
Release : 2020-05-11
Category : Technology & Engineering
ISBN : 9783030474751

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Mathematical Modeling of Inland Vessel Maneuverability Considering Rudder Hydrodynamics by Jialun Liu Pdf

This book demonstrates that different rudder configurations have different hydrodynamic characteristics, which are influenced by the profile, the parameters, and the specific configuration. The author proposes new regression formulas to help naval architects quickly estimate the rudder-induced forces and moments in maneuvering. Furthermore, the author proposes and validates an integrated maneuvering model for both seagoing ships and inland vessels. Using the proposed regression formulas and maneuvering model, the specific impacts of rudder configurations on inland vessel maneuverability are studied. In turn, the book demonstrates the application of Reynolds-Averaged Navier–Stokes (RANS) simulations to obtain rudder hydrodynamic characteristics, and the integration of the RANS results into maneuvering models as an accurate estimation of rudder forces and moments needed to quantify the impacts of rudder configurations on ships’ maneuvering performance. In addition, the author proposes new criteria for the prediction and evaluation of inland vessel maneuverability. Simulations of ships with various rudder configurations are presented, in order to analyze the impacts of rudder configurations on ship maneuverability in different classic and proposed test maneuvers. Offering essential guidance on the effects of rudders for inland vessel maneuverability, and helping practical engineers make informed design choices, the book is of interest to researchers and academics in the field of naval engineering, as well as students of naval architecture. Industrial practitioners working on ship design may also find it beneficial.