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

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

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There is a newer edition of this item:
Spectral/hp Element Methods for Computational Fluid Dynamics: Second Edition (Numerical Mathematics and Scientific Computation) Spectral/hp Element Methods for Computational Fluid Dynamics: Second Edition (Numerical Mathematics and Scientific Computation)
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Book Description

Publication Date: 1 Nov 1998 | ISBN-10: 0195102266 | ISBN-13: 978-0195102260
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 Drawing on both published and unpublished material, the book is an important resource for experienced researchers and for those new to the field.

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Review

Karniadakis & Sherwin's book admirably meets its aim to "introduce a wider audience to spectral/hp element methods" Journal of Fluid Mechanics
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Amazon.com: 5.0 out of 5 stars  2 reviews
4 of 8 people found the following review helpful
5.0 out of 5 stars Excellent presentation of the spectral element method 23 Sep 1999
By A Customer - Published on Amazon.com
Format: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 22 Feb 2000
By A Customer - Published on Amazon.com
Format: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.
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