Download or read book An Efficient Barotropic Vorticity Equation Model on a Sphere written by Samuel Y. K. Yee and published by . This book was released on 1978 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: An efficient accurate algorithm for a barotropic model for a computational domain that encompasses the entire surface of the earth has been developed. While this simple model does not contain enough realistic features of the atmosphere to predict the synoptic-scale weather with accuracy, it does, however, simulate the planetary waves of the atmosphere with sufficient realism to enable us to conduct numerical experiments designed to study specific problems in numerical weather prediction. In this interim report, we shall give a brief discussion of the motivations for developing such a global barotropic model, describe in some detail the numerics for the solution of the model equations, and present some sample numerical time-integration results. Several remarks concerning the numerics of this algorithm are also included. (Author).
Download or read book An Efficient Barotropic Vorticity Equation Model on a Sphere written by Samuel Y. K. Yee and published by . This book was released on 1978 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Studies on a Global Barotropic Vorticity Equation Model of the Atmosphere written by Samuel Y. K. Yee and published by . This book was released on 1979 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical experiments have been designed to study the suitability of certain numerical methods commonly used in the numerical modeling of the atmosphere. Specifically, we conducted experiments to address the following: (1) What effect does a Shapiro-type filter have on the results of a numerical time-integration? (2) What are the capabilities and limitations of numerical approximations such as second-order finite-difference approximations in numerical time-integrations? The Shapiro filter is found to be very effective in the removal of computation noise and is therefore useful for insuring computational stability in a long-term time-integration. For dynamically stable flows, numerical errors due to truncation and round-off are amplified by the dynamics of the stable system. Numerical methods such as second order finite-difference approximations, together with a Shapiro-type filter, are adequate in yielding approximate solutions to the modeling differential equations. For dynamically unstable flows, numerical errors are amplified as part of the dynamics of the unstable system. The use of finite-difference approximations may yield solutions which bear no resemblance whatsoever to the true solution of the differential equations. It is postulated that interactions among long wave computational modes and physical modes in a numerical model may prove to be another major obstacle in the numerical prediction of an unstable flow. (Author).
Download or read book Linear Filtering on the Surface of a Sphere written by Ralph Shapiro and published by . This book was released on 1979 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although methods of filtering have been developed for representing on a planar surface the sub-grid scale process of diffusion in numerical modeling of the atmosphere, the proper form of filtering for a spherical domain remains to be selected. In this study, the characteristics of several different forms of a highly scale dependent low pass filter are examined and compared for the case where the filter is applied to a scalar field on the surface of a sphere. The phase and amplitude response functions of the various forms of the filter indicate that the simplest form, although it does not preserve area-weighted mean values, approaches most closely the criteria established for the ideal filter. This indication is verified by the test computations in which each form of the filter is applied up to 10,000 times to a noisy scalar field. (Author).
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book Nonlinear Physical Oceanography written by Henk A. Dijkstra and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the methodology of dynamical systems theory is applied to investigate the physics of the global ocean circulation. Topics include the dynamics of the Gulf Stream in the Atlantic Ocean, the stability of the thermohaline circulation and the El Niño/Southern Oscillation phenomenon in the Tropical Pacific. On the other hand, the book also deals with the numerical methods for applying bifurcation analysis on large dimensional dynamical systems, with thousands or more degrees of freedom, which arise through discretization of ocean models. The novel approach in understanding the phenomena of climate variability is through a systematic analysis within a hierarchy of models using these techniques. In this way, a nice overview is obtained of the relations between the results of the different models within the hierarchy. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art models and observations are sought. The reader is expected to have a background in basic incompressible fluid dynamics and applied mathematics, although the level of the text is mixed and sometimes quite introductory. Each chapter is rather self-contained and many details of derivations are provided. The book is aimed at graduate students and researchers in meteorology, oceanography, and related fields who are interested in tackling fundamental problems in dynamical oceanography and climate dynamics.
Download or read book Report on Research at AFCRL written by Air Force Cambridge Research Laboratories (U.S.) and published by . This book was released on 1976 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Download or read book Monthly Weather Review written by and published by . This book was released on 2003 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Global Spectral Modeling written by Tiruvalam Natarajan Krishnamurti and published by Oxford University Press, USA. This book was released on 1998 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text on numerical weather prediction (numerically modelling the general circulation of the atmosphere), utilizing the spectral transform method. The book covers finite difference methods and time-differencing schemes; the theoretical development of the spectral transform method (using spherical surfaces rather than grids for determining variation in the elements of weather); physical processes; current issues in dynamical and physical initiation; and data analysis. Several practical examples of the spectral transform method are included.
Download or read book R D Abstracts written by Technology Reports Centre (Great Britain) and published by . This book was released on 1981 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 527 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
Download or read book Semi Lagrangian Advection Methods and Their Applications in Geoscience written by Steven J. Fletcher and published by Elsevier. This book was released on 2019-11-18 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-Lagrangian Advection Methods and Their Applications in Geoscience provides a much-needed resource on semi-Lagrangian theory, methods, and applications. Covering a variety of applications, the book brings together developments of the semi-Lagrangian in one place and offers a comparison of semi-Lagrangian methods with Eulerian-based approaches. It also includes a chapter dedicated to difficulties of dealing with the adjoint of semi-Lagrangian methods and illustrates the behavior of different schemes for different applications. This allows for a better understanding of which schemes are most efficient, stable, consistent, and likely to introduce the minimum model error into a given problem. Beneficial for students learning about numerical approximations to advection, researchers applying these techniques to geoscientific modeling, and practitioners looking for the best approach for modeling, Semi-Lagrangian Advection Methods and Their Applications in Geoscience fills a crucial gap in numerical modeling and data assimilation in geoscience. - Provides a single resource for understanding semi-Lagrangian methods and what is involved in its application - Includes exercises and codes to supplement learning and create opportunities for practice - Includes coverage of adjoints, examining the advantages and disadvantages of different approaches in multiple coordinate systems and different discretizations - Includes links to numerical datasets and animations to further enhance understanding
Download or read book Vortex Dynamics Statistical Mechanics and Planetary Atmospheres written by Chjan C. Lim and published by World Scientific. This book was released on 2009 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study introduces the reader with a background in either fluid mechanics or statistical mechanics to the modeling of planetary atmospheres by barotropic and shallow-water models. These potent models are introduced in both analytical and numerical treatments highlighting the ways both approaches inform and enlighten the other.
Download or read book Data Assimilation for the Geosciences written by Steven J. Fletcher and published by Elsevier. This book was released on 2017-03-10 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Assimilation for the Geosciences: From Theory to Application brings together all of the mathematical,statistical, and probability background knowledge needed to formulate data assimilation systems in one place. It includes practical exercises for understanding theoretical formulation and presents some aspects of coding the theory with a toy problem. The book also demonstrates how data assimilation systems are implemented in larger scale fluid dynamical problems related to the atmosphere, oceans, as well as the land surface and other geophysical situations. It offers a comprehensive presentation of the subject, from basic principles to advanced methods, such as Particle Filters and Markov-Chain Monte-Carlo methods. Additionally, Data Assimilation for the Geosciences: From Theory to Application covers the applications of data assimilation techniques in various disciplines of the geosciences, making the book useful to students, teachers, and research scientists. Includes practical exercises, enabling readers to apply concepts in a theoretical formulation Offers explanations for how to code certain parts of the theory Presents a step-by-step guide on how, and why, data assimilation works and can be used
Download or read book Government Reports Announcements Index written by and published by . This book was released on 1992 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
