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Numerical Methods In Atmospheric And Oceanic Modelling
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Author :Canadian Meteorological and Oceanographic Society Publisher :NRC Research Press ISBN 13 :9780969841449 Total Pages :654 pages Book Rating :4.8/5 (414 download)
Book Synopsis Numerical Methods in Atmospheric and Oceanic Modelling by : Canadian Meteorological and Oceanographic Society
Download or read book Numerical Methods in Atmospheric and Oceanic Modelling written by Canadian Meteorological and Oceanographic Society and published by NRC Research Press. This book was released on 1997 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of 27 invited refereed papers by scientists in the field of numerical modelling, this volume provides a comprehensive referecne for students and researchers of numerical weather prediction, climate simulation, dynamic meterology and ocean modelling."
Book Synopsis Numerical Techniques for Global Atmospheric Models by : Peter H. Lauritzen
Download or read book Numerical Techniques for Global Atmospheric Models written by Peter H. Lauritzen and published by Springer Science & Business Media. This book was released on 2011-03-29 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Book Synopsis Numerical Methods for Atmospheric and Oceanic Sciences by : A Chandrasekar
Download or read book Numerical Methods for Atmospheric and Oceanic Sciences written by A Chandrasekar and published by Cambridge University Press. This book was released on 2022-09-30 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide for atmospheric and oceanic sciences courses primarily and also for students of applied mathematics, mechanical & aerospace engineering.
Book Synopsis Basic Numerical Methods in Meteorology and Oceanography by : Kristofer Döös
Download or read book Basic Numerical Methods in Meteorology and Oceanography written by Kristofer Döös and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide an introduction to numerical modelling of the ocean and the atmosphere. It originates from courses given at Stockholm University and is intended to serve as a textbook for students in meteorology and oceanography with a background in mathematics and physics. Focus is on numerical schemes for the most commonly used equations in oceanography and meteorology as well as on the stability, precision and other properties of these schemes. Simple equations capturing the properties of the primitive equations employed in models of the ocean and atmosphere will be used. These model equations are solved numerically on a grid by discretisation, the derivatives of the differential equations being replaced by finite-difference approximations. The focus will be on the basic numerical methods used for oceanographic and atmospheric modelling. These models are based on the Navier-Stokes equations (including the Coriolis effect) and a tracer equation for heat in both the atmosphere and ocean and tracer equations for humidity and salt in the atmosphere and ocean, respectively. A coupled atmospheric and oceanic general circulation model represents the core part of an Earth System climate model. The book starts by presenting the most common types of partial differential equations and finite difference schemes used in meteorology and oceanography. Subsequently the limitations of these numerical schemes as regards stability, accuracy, presence of computational modes and accuracy the computationally determined phase speed are discussed. The shallow-water equations are discretised for different spatial grids and friction and diffusion terms are introduced. Hereafter implicit and semi-implicit schemes are discussed as well as the semi-Lagrangian technique. Coordinates for atmospheric as well as oceanic models are presented as well as a highly simplified 3D model. A brief description is given of how some atmospheric general circulation models use spectral methods as ""horizontal coordinates"". Finally, some ""pen-and-paper"" theoretical exercises and a number of GFD computer exercises are given.
Book Synopsis Basic Numerical Methods in Meteorology and Oceanography by : Kristofer Döös
Download or read book Basic Numerical Methods in Meteorology and Oceanography written by Kristofer Döös and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide an introduction to numerical modelling of the ocean and the atmosphere. It originates from courses given at Stockholm University and is intended to serve as a textbook for students in meteorology and oceanography with a background in mathematics and physics. Focus is on numerical schemes for the most commonly used equations in oceanography and meteorology as well as on the stability, precision and other properties of these schemes. Simple equations capturing the properties of the primitive equations employed in models of the ocean and atmosphere will be used. These model equations are solved numerically on a grid by discretisation, the derivatives of the differential equations being replaced by finite-difference approximations. The focus will be on the basic numerical methods used for oceanographic and atmospheric modelling. These models are based on the Navier-Stokes equations (including the Coriolis effect) and a tracer equation for heat in both the atmosphere and ocean and tracer equations for humidity and salt in the atmosphere and ocean, respectively. A coupled atmospheric and oceanic general circulation model represents the core part of an Earth System climate model. The book starts by presenting the most common types of partial differential equations and finite difference schemes used in meteorology and oceanography. Subsequently the limitations of these numerical schemes as regards stability, accuracy, presence of computational modes and accuracy the computationally determined phase speed are discussed. The shallow-water equations are discretised for different spatial grids and friction and diffusion terms are introduced. Hereafter implicit and semi-implicit schemes are discussed as well as the semi-Lagrangian technique. Coordinates for atmospheric as well as oceanic models are presented as well as a highly simplified 3D model. A brief description is given of how some atmospheric general circulation models use spectral methods as ""horizontal coordinates"". Finally, some ""pen-and-paper"" theoretical exercises and a number of GFD computer exercises are given.
Book Synopsis Atmospheres and Oceans on Computers by : Lars Petter Røed
Download or read book Atmospheres and Oceans on Computers written by Lars Petter Røed and published by Springer. This book was released on 2018-09-04 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces step by step the basic numerical methods to solve the equations governing the motion of the atmosphere and ocean, and describes how to develop a set of corresponding instructions for the computer as part of a code. Today's computers are powerful enough to allow 7-day forecasts within hours, and modern teaching of the subject requires a combination of theoretical and computational approaches. The presentation is aimed at beginning graduate students intending to become forecasters or researchers, that is, users of existing models or model developers. However, model developers must be well versed in the underlying physics as well as in numerical methods. Thus, while some of the topics discussed in the modeling of the atmosphere and ocean are more advanced, the book ensures that the gap between those scientists who analyze results from model simulations and observations and those who work with the inner works of the model does not widen further. In this spirit, the course presents methods whereby important balance equations in oceanography and meteorology, namely the advection-diffusion equation and the shallow water equations on a rotating Earth, can be solved by numerical means with little prior knowledge. The numerical focus is on the finite-difference (FD) methods, and although more powerful methods exist, the simplicity of FD makes it ideal as a pedagogical introduction to the subject. The book also includes suitable exercises and computer problems.
Book Synopsis Computational Methods for the Atmosphere and the Oceans by : Roger Temam
Download or read book Computational Methods for the Atmosphere and the Oceans written by Roger Temam and published by Elsevier. This book was released on 2009-06-16 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered. • Truly interdisciplinary: scientific interactions between specialties of atmospheric and ocean sciences and applied and computational mathematics • Uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved problems in the atmospheric and oceanic sciences• Contributions uniquely address central problems and provide a survey of the frontier of research
Book Synopsis Computer Modelling in Atmospheric and Oceanic Sciences by : Peter K. Müller
Download or read book Computer Modelling in Atmospheric and Oceanic Sciences written by Peter K. Müller and published by Springer Science & Business Media. This book was released on 2004-06-21 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes what these models are, what they are based on, how they function, and then, most innovatively, how they can be used to generate new useful knowledge about the environmental system. Discusses this generation of knowledge by computer models from an epistemological perspective and illustrates it by numerous examples from applied and fundamental research. Includes ample technical appendices and is a valuable source of information for graduate students and scientists alike working in the field of environmental sciences.
Book Synopsis Numerical Models of Oceans and Oceanic Processes by : Lakshmi H. Kantha
Download or read book Numerical Models of Oceans and Oceanic Processes written by Lakshmi H. Kantha and published by Elsevier. This book was released on 2000-08-08 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oceans play a pivotal role in our weather and climate. Ocean-borne commerce is vital to our increasingly close-knit global community. Yet we do not fully understand the intricate details of how they function, how they interact with the atmosphere, and what the limits are to their biological productivity and their tolerance to wastes. While satellites are helping us to fill in the gaps, numerical ocean models are playing an important role in increasing our ability to comprehend oceanic processes, monitor the current state of the oceans, and to a limited extent, even predict their future state.Numerical Models of Oceans and Oceanic Processes is a survey of the current state of knowledge in this field. It brings together a discussion of salient oceanic dynamics and processes, numerical solution methods, and ocean models to provide a comprehensive treatment of the topic. Starting with elementary concepts in ocean dynamics, it deals with equatorial, mid-latitude, high latitude, and coastal dynamics from the perspective of a modeler. A comprehensive and up-to-date chapter on tides is also included. This is followed by a discussion of different kinds of numerical ocean models and the pre- and post-processing requirements and techniques. Air-sea and ice-ocean coupled models are described, as well as data assimilation and nowcast/forecasts. Comprehensive appendices on wavelet transforms and empirical orthogonal functions are also included.This comprehensive and up-to-date survey of the field should be of interest to oceanographers, atmospheric scientists, and climatologists. While some prior knowledge of oceans and numerical modeling is helpful, the book includes an overview of enough elementary material so that along with its companion volume, Small Scale Processes in Geophysical Flows, it should be useful to both students new to the field and practicing professionals. * Comprehensive and up-to-date review* Useful for a two-semester (or one-semester on selected topics) graduate level course* Valuable reference on the topic* Essential for a better understanding of weather and climate
Book Synopsis Numerical Methods for Atmospheric and Oceanic Sciences by : A Chandrasekar
Download or read book Numerical Methods for Atmospheric and Oceanic Sciences written by A Chandrasekar and published by Cambridge University Press. This book was released on 2022-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Atmospheric and Oceanic Sciences caters to the needs of students of atmospheric and oceanic sciences in senior undergraduate and graduate courses as well as students of applied mathematics, mechanical and aerospace engineering. The book covers fundamental theoretical aspects of the various numerical methods that will help both students and teachers in gaining a better understanding of the effectiveness and rigour of these methods. Extensive applications of the finite difference methods used in the processes involving advection, barotropic, shallow water, baroclinic, oscillation and decay are covered in detail. Special emphasis is given to advanced numerical methods such as Semi-Lagrangian, Spectral, Finite Element and Finite Volume methods. Each chapter includes various exercises including Python codes that will enable students to develop the codes and compare the numerical solutions obtained through different numerical methods.
Book Synopsis Earth System Modelling - Volume 2 by : Luca Bonaventura
Download or read book Earth System Modelling - Volume 2 written by Luca Bonaventura and published by Springer Science & Business Media. This book was released on 2011-10-08 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected articles in this series are dedicated to the development and use of software for earth system modelling and aims at bridging the gap between IT solutions and climate science. The particular topic covered in this volume addresses the historical development, state of the art and future perspectives of the mathematical techniques employed for numerical approximation of the equations describing atmospheric and oceanic motion. Furthermore, it describes the main computer science and software engineering strategies employed to turn these mathematical methods into effective tools for understanding earth's climate and forecasting its evolution. These methods and the resulting computer algorithms lie at the core of earth system models and are essential for their effectiveness and predictive skill.
Book Synopsis Numerical Modeling of Ocean Circulation by : Robert N. Miller
Download or read book Numerical Modeling of Ocean Circulation written by Robert N. Miller and published by Cambridge University Press. This book was released on 2007-01-18 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Methods for Fluid Dynamics by : Dale R. Durran
Download or read book Numerical Methods for Fluid Dynamics written by Dale R. Durran and published by Springer Science & Business Media. This book was released on 2010-09-14 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean
Book Synopsis Modeling Atmospheric and Oceanic Flows by : Thomas von Larcher
Download or read book Modeling Atmospheric and Oceanic Flows written by Thomas von Larcher and published by John Wiley & Sons. This book was released on 2014-11-24 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Atmospheric and Oceanic Flows: Insights from Laboratory Experiments and Numerical Simulations provides a broad overview of recent progress in using laboratory experiments and numerical simulations to model atmospheric and oceanic fluid motions. This volume not only surveys novel research topics in laboratory experimentation, but also highlights recent developments in the corresponding computational simulations. As computing power grows exponentially and better numerical codes are developed, the interplay between numerical simulations and laboratory experiments is gaining paramount importance within the scientific community. The lessons learnt from the laboratory–model comparisons in this volume will act as a source of inspiration for the next generation of experiments and simulations. Volume highlights include: Topics pertaining to atmospheric science, climate physics, physical oceanography, marine geology and geophysics Overview of the most advanced experimental and computational research in geophysics Recent developments in numerical simulations of atmospheric and oceanic fluid motion Unique comparative analysis of the experimental and numerical approaches to modeling fluid flow Modeling Atmospheric and Oceanic Flows will be a valuable resource for graduate students, researchers, and professionals in the fields of geophysics, atmospheric sciences, oceanography, climate science, hydrology, and experimental geosciences.
Book Synopsis Numerical Methods Used in Atmospheric Models by : Fedor Mesinger
Download or read book Numerical Methods Used in Atmospheric Models written by Fedor Mesinger and published by . This book was released on 1976 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Ocean Climate Models by : Stephen Griffies
Download or read book Fundamentals of Ocean Climate Models written by Stephen Griffies and published by Princeton University Press. This book was released on 2018-06-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets forth the physical, mathematical, and numerical foundations of computer models used to understand and predict the global ocean climate system. Aimed at students and researchers of ocean and climate science who seek to understand the physical content of ocean model equations and numerical methods for their solution, it is largely general in formulation and employs modern mathematical techniques. It also highlights certain areas of cutting-edge research. Stephen Griffies presents material that spans a broad spectrum of issues critical for modern ocean climate models. Topics are organized into parts consisting of related chapters, with each part largely self-contained. Early chapters focus on the basic equations arising from classical mechanics and thermodynamics used to rationalize ocean fluid dynamics. These equations are then cast into a form appropriate for numerical models of finite grid resolution. Basic discretization methods are described for commonly used classes of ocean climate models. The book proceeds to focus on the parameterization of phenomena occurring at scales unresolved by the ocean model, which represents a large part of modern oceanographic research. The final part provides a tutorial on the tensor methods that are used throughout the book, in a general and elegant fashion, to formulate the equations.
Book Synopsis Numerical Modeling of Ocean Dynamics by : Zygmunt Kowalik
Download or read book Numerical Modeling of Ocean Dynamics written by Zygmunt Kowalik and published by World Scientific. This book was released on 1993-05-19 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: While there are several excellent books dealing with numerical analysis and analytical theory, one has to practically sift through hundreds of references. This monograph is an attempt to partly rectify this situation. It aims to introduce the application of finite-difference methods to ocean dynamics as well as review other complex methods. Systematically presented, the monograph first gives a detailed account of the basics and then go on to discuss the various applications. Recognising the impossibility of covering the entire field of ocean dynamics, the writers have chosen to focus on transport equations (diffusion and advection), shallow water phenomena — tides, storm surges and tsunamis, three-dimensional time dependent oceanic motion, natural oscillations, and steady state phenomena. The many aspects covered by this book makes it an indispensable handbook and reference source to both professionals and students of this field. Contents:Formulation of the General Equations:Equations of Motion, Continuity and DiffusionTwo-Dimensional EquationsApplication of the Stream FunctionViscosity in the Turbulent FlowTransport Equations:Mathematical RudimentsBoundary and Initial ConditionsBasic Numerical PropertiesExplicit Versus Implicit Numerical SchemesCentered Numerical SchemesComputational Errors: Diffusion and DispersionComputational and Physical Modes of the Numerical SolutionDiffusive ProcessesApplication of the Higher Order Computational Schemes to the Advective EquationTwo-Dimensional Numerical Models:Basic ProblemsNumerical Solution of the System of EquationsStep by Step Approach to the Construction and Analysis of Simple Numerical SchemesTwo-Dimensional ModelsNumerical FilteringGrid RefinementSimulation of Long Wave Run-UpFinite-Differencing of the Time DerivativeFinite-Differencing of the Space DerivativeTreatment of Open BoundariesTreatment of the Nonlinear Advective TermsMoving Boundary Models and Inclusion of Tidal FlatsNested Grids and Multiple GridsStretched Coordinates and Transformed Grid SystemsThree-Dimensional Time-Dependent Motion:IntroductionNumerical Modeling of the Fjord CirculationThree-Dimensional Motion in the Shallow SeasThree Dimensional Modeling Utilizing the Mode Splitting and Sigma CoordinateGeneral Circulation Model — Rigid Lid ConditionA Three-Dimensional Semi-Implicit ModelA Two-Layer ModelMode Splitting and Reduced Gravity ModelQuasi-Geostrophic ModelsStreamfunction ModelsThe Bidston ModelsHaidvogel et al.'s ModelNormal Modes:IntroductionSeichesThe Normal Mode ApproachSolutions for Lakes and Bays with Uniform and Variable DepthSystems with BranchesResonance Calculation for Irregular-Shaped BasinsSecondary UndulationsHelmholtz ModeOpen Boundary ConditionsNumerical Models for Resonance CalculationsKelvin Waves, Sverdrup Waves and Poincaré WavesInfluence of Ice Cover on Normal ModesSteady State Processes:Oceanographic ExamplesNumerical ApproximationBoundary ConditionsNumerical MethodsDirect MethodsHigher Order Accuracy Schemes for Convection-Dominated FlowAppendix 1ReferencesSubject Index Readership: Oceanographers, coastal engineers and environment scientists. keywords:
