Numerical Methods for Atmospheric and Oceanic Sciences

Numerical Methods for Atmospheric and Oceanic Sciences
Author: A Chandrasekar
Publisher: Cambridge University Press
Total Pages: 551
Release: 2022-09-30
Genre: Science
ISBN: 1009100564

A guide for atmospheric and oceanic sciences courses primarily and also for students of applied mathematics, mechanical & aerospace engineering.

Numerical Techniques for Global Atmospheric Models

Numerical Techniques for Global Atmospheric Models
Author: Peter H. Lauritzen
Publisher: Springer Science & Business Media
Total Pages: 570
Release: 2011-03-29
Genre: Mathematics
ISBN: 364211640X

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.

Numerical Methods in Atmospheric and Oceanic Modelling

Numerical Methods in Atmospheric and Oceanic Modelling
Author: Canadian Meteorological and Oceanographic Society
Publisher: NRC Research Press
Total Pages: 654
Release: 1997
Genre: Science
ISBN: 9780969841449

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."

Atmospheres and Oceans on Computers

Atmospheres and Oceans on Computers
Author: Lars Petter Røed
Publisher: Springer
Total Pages: 293
Release: 2018-09-04
Genre: Science
ISBN: 3319938649

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.

Inverse Methods for Atmospheric Sounding

Inverse Methods for Atmospheric Sounding
Author: Clive D. Rodgers
Publisher: World Scientific
Total Pages: 256
Release: 2000
Genre: Science
ISBN: 981022740X

Annotation Rodgers (U. of Oxford) provides graduate students and other researchers a background to the inverse problem and its solution, with applications relating to atmospheric measurements. He introduces the stages in the reverse order than the usual approach in order to develop the learner's intuition about the nature of the inverse problem. Annotation copyrighted by Book News, Inc., Portland, OR.

Atmospheric and Oceanic Fluid Dynamics

Atmospheric and Oceanic Fluid Dynamics
Author: Geoffrey K. Vallis
Publisher: Cambridge University Press
Total Pages: 772
Release: 2006-11-06
Genre: Science
ISBN: 1139459961

Fluid dynamics is fundamental to our understanding of the atmosphere and oceans. Although many of the same principles of fluid dynamics apply to both the atmosphere and oceans, textbooks tend to concentrate on the atmosphere, the ocean, or the theory of geophysical fluid dynamics (GFD). This textbook provides a comprehensive unified treatment of atmospheric and oceanic fluid dynamics. The book introduces the fundamentals of geophysical fluid dynamics, including rotation and stratification, vorticity and potential vorticity, and scaling and approximations. It discusses baroclinic and barotropic instabilities, wave-mean flow interactions and turbulence, and the general circulation of the atmosphere and ocean. Student problems and exercises are included at the end of each chapter. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation will be an invaluable graduate textbook on advanced courses in GFD, meteorology, atmospheric science and oceanography, and an excellent review volume for researchers. Additional resources are available at www.cambridge.org/9780521849692.

Numerical Models of Oceans and Oceanic Processes

Numerical Models of Oceans and Oceanic Processes
Author: Lakshmi H. Kantha
Publisher: Elsevier
Total Pages: 981
Release: 2000-08-08
Genre: Science
ISBN: 0080512909

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

Computational Methods for the Atmosphere and the Oceans

Computational Methods for the Atmosphere and the Oceans
Author: Roger Temam
Publisher: Elsevier
Total Pages: 797
Release: 2009-06-16
Genre: Computers
ISBN: 0080931030

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

Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science

Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science
Author: Boling Guo
Publisher: World Scientific
Total Pages: 329
Release: 2014-04-17
Genre: Mathematics
ISBN: 9814590398

The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given.

Computer Modelling in Atmospheric and Oceanic Sciences

Computer Modelling in Atmospheric and Oceanic Sciences
Author: Peter K. Müller
Publisher: Springer Science & Business Media
Total Pages: 350
Release: 2013-03-09
Genre: Science
ISBN: 3662063816

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.