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Spectral-Rans Method

Elteyeb Mohammed Eljack

ISBN 10: 3846595462 / ISBN 13: 9783846595466
Published by LAP Lambert Academic Publishing
New Condition: New Soft cover
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About this Item

132 pages. Dimensions: 8.7in. x 5.9in. x 0.3in.Direct numerical simulation of turbulence is usually carried out using spectral-Chebyshev method. However, Chebyshev basis are not optimal in any sense, therefore, one has to use a certain number of modes to obtain reasonable results and this number of modes increases as Reynolds number increase. This would have never been an obstacle if there exist a set of functions that are ordered in turbulent kinetic energy sense, i. e, the lower mode contains most of the energy and so forth. The only available mathematical method to extract such an optimal basis is the POD method. However, POD method needs the two-point correlation of the entire flow field to be implemented. This book introduces a new method to extract such optimal basis from spectral equations that govern the flow field. Moreover, the book describes how this method can be used to model turbulence. This book will interest mechanical, chemical, aerospace, civil, and environmental engineers. Applied mathematicians and physicists who are interested in turbulence will find the book helpful as well. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783846595466

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Bibliographic Details

Title: Spectral-Rans Method

Publisher: LAP Lambert Academic Publishing

Binding: Paperback

Book Condition:New

Book Type: Paperback

About this title

Synopsis:

Direct numerical simulation of turbulence is usually carried out using spectral-Chebyshev method. However, Chebyshev basis are not optimal in any sense, therefore, one has to use a certain number of modes to obtain reasonable results and this number of modes increases as Reynolds number increase. This would have never been an obstacle if there exist a set of functions that are ordered in turbulent kinetic energy sense, i.e, the lower mode contains most of the energy and so forth. The only available mathematical method to extract such an optimal basis is the POD method. However, POD method needs the two-point correlation of the entire flow field to be implemented. This book introduces a new method to extract such optimal basis from spectral equations that govern the flow field. Moreover, the book describes how this method can be used to model turbulence. This book will interest mechanical, chemical, aerospace, civil, and environmental engineers. Applied mathematicians and physicists who are interested in turbulence will find the book helpful as well.

About the Author:

The author earned his PhD degree in engineering at Osaka University, Japan, M.Sc. in experimental and computational turbulence at Chalmers University of Technology, Sweden, and B.Sc. in mechanical engineering, University of Khartoum, Sudan. Currently, he is an Assistant Professor in mechanical engineering at University of Khartoum, Khartoum, Sudan

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