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Spectral/hp Element Methods for Computational Fluid Dynamics - Oxford Scholarship Online
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Spectral/hp Element Methods for Computational Fluid Dynamics

George Karniadakis and Spencer Sherwin


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 a ... More

Keywords: eddy simulation, turbulent flows, viscous flow equations, high-order discretization, time-dependent oscillatory solutions, multi-domain spectral methods, discontinuous Galerkin methods, stabilization techniques, filtering techniques

Bibliographic Information

Print publication date: 2005 Print ISBN-13: 9780198528692
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198528692.001.0001


Affiliations are at time of print publication.

George Karniadakis, author
Division of Applied Mathematics, Brown University
Author Webpage

Spencer Sherwin, author
Department of Aeronautics, Imperial College London