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Spectral/hp element methods for computational fluid dynamics
Karniadakis, G.E.; Sherwin, S.J. (2005). Spectral/hp element methods for computational fluid dynamics. Second edition. Numerical Mathematics and Scientific Computation. Oxford University Press: Oxford. ISBN 978-0-19-967136-6. xviii, 657 pp.
Deel van: Numerical Mathematics and Scientific Computation. Oxford University Press: Oxford, meer
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Trefwoord |
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Author keywords |
Turbulent flows; Viscous flow equations; High-order discretization; Time-dependent oscillatory solutions; Multi-domain spectral methods; Discontinuous Galerkin methods; Stabilization techniques; Filtering techniques |
Auteurs | | Top |
- Karniadakis, G.E.
- Sherwin, S.J.
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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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