Spectral/hp Element Methods for Computational Fluid Dynamics
Second Edition
Series: Numerical Mathematics and Scientific Computation;
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Product details:
- Publisher OUP Oxford
- Date of Publication 10 January 2013
- ISBN 9780199671366
- Binding Paperback
- No. of pages680 pages
- Size 241x169x37 mm
- Weight 1078 g
- Language English
- Illustrations Over 200 b/w line illustrations 0
Categories
Short description:
Completely revised and expanded new edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Written by leading experts, it is a must-have for students, academics and practitioners in computational fluid mechanics and related fields.
MoreLong description:
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.
Review from previous edition Karniadakis & Sherwin's book admirably meets its aim to "introduce a wider audience to spectral/hp element methods"
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
