Spectral/hp element methods for computational fluid dynamics: Second Edition

Hardcover | June 15, 2005

byGeorge Karniadakis, Spencer Sherwin

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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 aroundcomplex configurations has led to the development of high-order discretisation procedures on unstructured meshes, which are also recognised as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing over 50% new material, including discontinuous Galerkinmethods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniques, this text aims to introduce a wider audience to the use of spectral/hp element methods with particular emphasis on their application to unstructured meshes. It provides a detailedexplanation of the key concepts underlying the methods along with practical examples of their derivation and application, and is aimed at students, academics and practitioners in computational fluid mechanics, applied and numerical mathematics, computational mechanics, aerospace and mechanicalengineering and climate/ocean modelling.

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From the Publisher

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 aroundcomplex configurations has led to the developme...

George Em Karniadakis is a Professor at Brown University, Division of Applied Mathematics, 182 George Street, Providence, RI 02912, USA Spencer Sherwin is Reader in computational Fluid Mechanics, Department of Aeronautics, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK

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Format:HardcoverDimensions:668 pages, 9.45 × 6.61 × 1.59 inPublished:June 15, 2005Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198528698

ISBN - 13:9780198528692

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Table of Contents

IntroductionFundamental concepts in one dimensionMulti-dimensional expansion basesMulti-dimensional formulationsDiffusion equationAdvection and advection-diffusionNon-conforming elementsAlgorithms for incompressible flowsIncompressible flow simulations:verification and validationHyperbolic conservation lawsAppendicesJacobi polynomialsGauss-Type integrationCollocation differentiationCo discontinuous expansion basesCharacteristic flux decompositionReferencesIndex

Editorial Reviews

Review from previous edition: "Karniadakis and Sherwin's book admirably meets its aim to "introduce a wider audience to spectral/hp element methods" --Journal of Fluid Mechanics