A Semi-Spectral Numerical Method for Modeling the Vorticity Dynamics of the Near-Core Region of Hurricane-Like Vortices PDF Download
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Author: Michael T. Montgomery
Publisher:
ISBN: 9781423553168
Category : Cyclones
Languages : en
Pages : 68
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Book Description
In recent years, numerical weather prediction models have progressed from finite difference methods to spectral methods in order to obtain more accurate forecasts in less computational time. A switch from "pure" finite difference to "pure" spectral techniques, however, may not be the best approach in all cases. Indeed, for some problems a mixed approach with finite difference approximations in one coordinate and spectral approximations in the remaining coordinates may provide comparably accurate results in less computational time than either pure method alone. This is particularly evident for the case of a hurricane where a state of near-circular symmetry typically prevails. For such a problem, a semi-spectral (SS) method using finite difference approximations in the radial direction and spectral methods in the azimuthal direction is a natural choice. While the effectiveness of pure methods for certain problems in fluid dynamics and atmospheric dynamics is well documented, comparatively little work has been undertaken to examine the effectiveness of SS schemes. This is particularly evident in problems concerning the vorticity dynamics of the hurricane near-core region. Because of the nearly circular flow of a strong hurricane, we hypothesize that SS formulations may prove useful in helping to elucidate the asymmetric vorticity dynamics in the hurricane's near-core region. This study examines the effectiveness of the semi-spectral approach for two classes of problems. The first problem concerns the redistribution of vorticity anomalies within a "master" vortex possessing a vorticity profile which decreases monotonically with radius. The second problem concerns barotropic instability, vortex breakdown, and vorticity mixing that is observed in mature hurricanes.
Author: Michael T. Montgomery
Publisher:
ISBN: 9781423553168
Category : Cyclones
Languages : en
Pages : 68
Get Book Here
Book Description
In recent years, numerical weather prediction models have progressed from finite difference methods to spectral methods in order to obtain more accurate forecasts in less computational time. A switch from "pure" finite difference to "pure" spectral techniques, however, may not be the best approach in all cases. Indeed, for some problems a mixed approach with finite difference approximations in one coordinate and spectral approximations in the remaining coordinates may provide comparably accurate results in less computational time than either pure method alone. This is particularly evident for the case of a hurricane where a state of near-circular symmetry typically prevails. For such a problem, a semi-spectral (SS) method using finite difference approximations in the radial direction and spectral methods in the azimuthal direction is a natural choice. While the effectiveness of pure methods for certain problems in fluid dynamics and atmospheric dynamics is well documented, comparatively little work has been undertaken to examine the effectiveness of SS schemes. This is particularly evident in problems concerning the vorticity dynamics of the hurricane near-core region. Because of the nearly circular flow of a strong hurricane, we hypothesize that SS formulations may prove useful in helping to elucidate the asymmetric vorticity dynamics in the hurricane's near-core region. This study examines the effectiveness of the semi-spectral approach for two classes of problems. The first problem concerns the redistribution of vorticity anomalies within a "master" vortex possessing a vorticity profile which decreases monotonically with radius. The second problem concerns barotropic instability, vortex breakdown, and vorticity mixing that is observed in mature hurricanes.
Author: Lu Ting
Publisher: Springer Science & Business Media
ISBN: 3540685820
Category : Science
Languages : en
Pages : 508
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Book Description
This monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The book explores the dynamics of slender vortex filaments in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex-generated sound and thermoacoustics. The book is addressed to both graduate students and researchers.
Author: U.C. Mohanty
Publisher: Springer
ISBN: 9402408967
Category : Science
Languages : en
Pages : 762
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Book Description
This book deals primarily with monitoring, prediction and understanding of Tropical Cyclones (TCs). It was envisioned to serve as a teaching and reference resource at universities and academic institutions for researchers and post-graduate students. It has been designed to provide a broad outlook on recent advances in observations, assimilation and modeling of TCs with detailed and advanced information on genesis, intensification, movement and storm surge prediction. Specifically, it focuses on (i) state-of-the-art observations for advancing TC research, (ii) advances in numerical weather prediction for TCs, (iii) advanced assimilation and vortex initialization techniques, (iv) ocean coupling, (v) current capabilities to predict TCs, and (vi) advanced research in physical and dynamical processes in TCs. The chapters in the book are authored by leading international experts from academic, research and operational environments. The book is also expected to stimulate critical thinking for cyclone forecasters and researchers, managers, policy makers, and graduate and post-graduate students to carry out future research in the field of TCs.
Author: Warren M. Washington
Publisher: University Science Books
ISBN: 9781891389351
Category : Nature
Languages : en
Pages : 372
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Book Description
Warren M. Washington is consultant and advisor to a number of government officials and committees on climate-system modelling. Now along with Claire Parkinson (NASA) he gives the reader insight into the complex field of climate modelling. Updated and revised from the first edition, this book is a welcome reference on climate modeling; an area that is becoming more and more sought after in light of environmental changes. Suitable for those wanting an in-road into understanding climate modeling but also an excellent companion for those with some prior knowledge of modeling meteorological systems.
Author:
Publisher:
ISBN:
Category : Marine biology
Languages : en
Pages : 1002
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Book Description
Author: F. Moukalled
Publisher: Springer
ISBN: 3319168746
Category : Technology & Engineering
Languages : en
Pages : 799
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Book Description
This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.
Author: James R. Holton
Publisher: Academic Press
ISBN: 0122543602
Category : Science
Languages : en
Pages : 409
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Book Description
For advanced undergraduate and beginning graduate students in atmospheric, oceanic, and climate science, Atmosphere, Ocean and Climate Dynamics is an introductory textbook on the circulations of the atmosphere and ocean and their interaction, with an emphasis on global scales. It will give students a good grasp of what the atmosphere and oceans look like on the large-scale and why they look that way. The role of the oceans in climate and paleoclimate is also discussed. The combination of observations, theory and accompanying illustrative laboratory experiments sets this text apart by making it accessible to students with no prior training in meteorology or oceanography. * Written at a mathematical level that is appealing for undergraduates and beginning graduate students * Provides a useful educational tool through a combination of observations and laboratory demonstrations which can be viewed over the web * Contains instructions on how to reproduce the simple but informative laboratory experiments * Includes copious problems (with sample answers) to help students learn the material.
Author: National Meteorological Center (U.S.)
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 32
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Book Description
Author: P. G. Saffman
Publisher: Cambridge University Press
ISBN: 9780521477390
Category : Mathematics
Languages : en
Pages : 332
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Book Description
Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.
Author: Benoit Cushman-Roisin
Publisher: Academic Press
ISBN: 0080916783
Category : Science
Languages : en
Pages : 850
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Book Description
Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. - Combines both physical and numerical aspects of geophysical fluid dynamics into a single affordable volume - Explores contemporary topics such as the Greenhouse Effect, global warming and the El Nino Southern Oscillation - Biographical and historical notes at the ends of chapters trace the intellectual development of the field - Recipient of the 2010 Wernaers Prize, awarded each year by the National Fund for Scientific Research of Belgium (FNR-FNRS)
