A Numerical Investigation of Internal Gravity Wave Phenomena with Adaptive Mesh Techniques PDF Download
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Author: Benjamin Martin
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Benjamin Martin
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Hanli Liu
Publisher:
ISBN:
Category :
Languages : en
Pages : 362
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Author: Bruce Sutherland
Publisher: Cambridge University Press
ISBN: 0521839157
Category : Science
Languages : en
Pages : 395
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Book Description
The first comprehensive treatment of the theory for small and large amplitude internal gravity waves, with illustrative examples and exercises.
Author:
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Category :
Languages : en
Pages :
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Author: B. R. Sutherland
Publisher:
ISBN: 9781316216705
Category : Electronic books
Languages : en
Pages : 377
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Book Description
The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.
Author: Kristopher Rowe
Publisher:
ISBN:
Category : Finite volume method
Languages : en
Pages : 152
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Book Description
One feature that is common to many fluid flows is that phenomena of interest often occur at disparate length scales, whether it be vortices interacting with a boundary layer, or shear instabilities on an internal gravity wave. It has been demonstrated in many studies that when performing computer simulations of fluid flows, one must ensure that sufficient resolution is used to capture the smallest scale features of the flow. If the smallest scale features of the flow occur in a small subset of the problem domain, however, much of the computational resources used for a simulation will be wasted where they are not needed. In order to address these kinds of problems, a class of algorithms known as adaptive mesh refinement (AMR) seek to use grid resolution only where it is needed. Upon a coarse base grid, areas of a fluid flow where small scale features occur are identified, and a hierarchy of successively finer grids is build until sufficient resolution is obtained. We give a thorough review of the adaptive mesh refinement algorithm for the incompressible Navier-Stokes equations presented in Martin, Colella, and Graves (2008) and connect their techniques to the literature for finite volume methods. The performance and scalability of their algorithm on a commodity computer cluster is studied in order to systematically choose optimal grid parameters. This algorithm is then used to perform a number of simulations of vortices interacting with a viscous boundary layer. Following Clercx and Bruneau (2006), the interaction of a vortex dipole with a solid wall is modelled: a problem which has been suggested as a difficult physical benchmark for incompressible Navier-Stokes solvers due to the resolution needed to obtain the correct behaviour for the flow. The interaction of a vortex ring with a solid wall is also simulated for a variety of Reynolds numbers. The results of these simulations are shown agree well with those seen in laboratory experiments. A loop-structured secondary vortex ring is formed which undergoes a topologically complex interaction with the initial vortex ring, ultimately leading to the breakdown and dissipation of both vortex rings. Emphasis is placed on the performance of AMR when compared to a traditional single grid model, and subsequently, the ability of AMR methods to model fluid flows using direct numerical simulation at higher Reynolds numbers than were previously possible.
Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 702
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Author:
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ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400
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Author: Carmen J. Nappo
Publisher: Elsevier
ISBN: 0080491669
Category : Science
Languages : en
Pages : 300
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Book Description
Gravity waves exist in all types of geophysical fluids, such as lakes, oceans, and atmospheres. They play an important role in redistributing energy at disturbances, such as mountains or seamounts and they are routinely studied in meteorology and oceanography, particularly simulation models, atmospheric weather models, turbulence, air pollution, and climate research. An Introduction to Atmospheric Gravity Waves provides readers with a working background of the fundamental physics and mathematics of gravity waves, and introduces a wide variety of applications and numerous recent advances. Nappo provides a concise volume on gravity waves with a lucid discussion of current observational techniques and instrumentation. Foreword is written by Prof. George Chimonas, a renowned expert on the interactions of gravity waves with turbulence. CD containing real data, computer codes for data analysis and linear gravity wave models included with the text
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1048
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