Spectral/hp Element Methods for CFD (Numerical Mathematics and Scientific Computation) [Hardcover]

George Em Karniadakis (Author), Spencer J. Sherwin (Author)

Book Description

ISBN-10: 0195102266 | ISBN-13: 978-0195102260 | Publication Date: April 15, 1999

Traditionally spectral methods in fluid dynamics were used in direct and large eddy simulations of turbulent flow in simply connected computational domains. The methods are now being applied to more complex geometries, and the spectral/hp element method, which incorporates both multi-domain spectral methods and high-order finite element methods, has been particularly successful. This book provides a comprehensive introduction to these methods. Written by leaders in the field, the book begins with a full explanation of fundamental concepts and implementation issues. It then illustrates how these methods can be applied to advection-diffusion and to incompressible and compressible Navier-Stokes equations. Drawing on both published and unpublished material, the book is an important resource for experienced researchers and for those new to the field.

Editorial Reviews

Review

"Though there is a lot of detailed technical material here, Karniadakis & Sherwin have written in a very visual style with good graphics scattered throughout the text in a helpful way. They have brought togetehr in one accessible volume a body of literature and have demonstrated the applicability and utility of this class of high-order numerical methods for differential equations."--Journal of Fluid Mechanics

About the Author

George Em Karniadakis, Professor of Applied Mathematics, Brown University. Spencer J. Sherwin, Lecturer in Aeronautics, Imperial College of Science, Technology and Medicine.

Product Details

• Hardcover: 408 pages
• Publisher: Oxford University Press, USA (April 15, 1999)
• Language: English
• ISBN-10: 0195102266
• ISBN-13: 978-0195102260
• Product Dimensions: 9.3 x 6.4 x 1.4 inches
• Shipping Weight: 1.6 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #4,760,868 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

4 of 8 people found the following review helpful:

5.0 out of 5 stars Excellent presentation of the spectral element method, September 23, 1999

By A Customer

This review is from: Spectral/hp Element Methods for CFD (Numerical Mathematics and Scientific Computation) (Hardcover)

This book is thorough and self contained. It can serve as a very good text for someone who just begun to learn about the method. It can also serve as an excellent reference for someone who is already experienced in the method of spectral elements. It explains very clearly both the mathematical theory as well as the implementation details.

2 of 7 people found the following review helpful:

5.0 out of 5 stars Spectral/hp Element Methods for CFD, February 22, 2000

By A Customer

This review is from: Spectral/hp Element Methods for CFD (Numerical Mathematics and Scientific Computation) (Hardcover)

This book gives a mathematically rigorous and self-contained presentation of the hp method for Computational Fluid Dynamics (CFD). The presentation begins with an introduction of the fundamental concepts related to both h and p methods using simple one-dimensional model PDEs and continues with the more complex PDEs governig multidimensional incompressible and compressible flows of practical interest. In addition to the clear and complete presentation of the mathematical theory, sufficient guidelines and implementation details are given throughout the presentation of the material. This book is very helpful to both newcomers in the field of CFD as well as experienced practitioners who wish to apply hp refinement methods in CFD.