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Spectral/hp Element Methods for Computational Fluid Dynamics (2nd edn)

Online ISBN:
9780191713491
Print ISBN:
9780198528692
Publisher:
Oxford University Press
Book

Spectral/hp Element Methods for Computational Fluid Dynamics (2nd edn)

George Karniadakis,
George Karniadakis
Division of Applied Mathematics, Brown University
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Spencer Sherwin
Spencer Sherwin
Department of Aeronautics, Imperial College London
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Published online:
1 September 2007
Published in print:
2 June 2005
Online ISBN:
9780191713491
Print ISBN:
9780198528692
Publisher:
Oxford University Press

Abstract

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently, the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretization procedures on unstructured meshes, which are also recognized as more efficient for solution of time-dependent oscillatory solutions over long time periods. This book, an updated edition on the original text, presents the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing material on discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilization and filtering techniques, this text introduces the use of spectral/hp element methods with particular emphasis on their application to unstructured meshes. It provides a detailed explanation of the key concepts underlying the methods along with practical examples of their derivation and application.

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