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Spectral/HP Element Methods for Computational Fluid Dynamics: Second Edition

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Spectral/HP Element Methods for Computational Fluid Dynamics: Second Edition Cover

 

Synopses & Reviews

Publisher Comments:

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 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 Galerkin methods, 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 detailed explanation 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 mechanical engineering and climate/ocean modelling.

About the Author

George Karniadakis, Division of Applied Mathematics, Brown University

Spencer Sherwin, Department of Aeronautics, Imperial College London

Table of Contents

Introduction

Fundamental concepts in one dimension

Multi-dimensional expansion bases

Multi-dimensional formulations

Diffusion equation

Advection and advection-diffusion

Non-conforming elements

Algorithms for incompressible flows

Incompressible flow simulations:verification and validation

Hyperbolic conservation laws

Appendices

Jacobi polynomials

Gauss-Type integration

Collocation differentiation

Co discontinuous expansion bases

Characteristic flux decomposition

References

Index

Product Details

ISBN:
9780199671366
Author:
Karniadakis, George
Publisher:
Oxford University Press, USA
Author:
Sherwin, Spencer
Subject:
Applied
Subject:
Mathematics | Applied Mathematics
Subject:
Mathematics-Applied
Subject:
Mathematical Analysis
Publication Date:
20130431
Binding:
TRADE PAPER
Language:
English
Illustrations:
Over 200 b/w line illustrations
Pages:
680
Dimensions:
6.6 x 9.4 x 1.6 in 2.45 lb

Related Subjects


Reference » Science Reference » Technology
Religion » Comparative Religion » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Physics » Fluid Mechanics

Spectral/HP Element Methods for Computational Fluid Dynamics: Second Edition New Trade Paper
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Product details 680 pages Oxford University Press, USA - English 9780199671366 Reviews:
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