Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (repost)
Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics
Springer; 1 edition | July 31, 2007 | ISBN-10: 3540307273 | 598 pages | PDF | 9.8 Mb
Springer; 1 edition | July 31, 2007 | ISBN-10: 3540307273 | 598 pages | PDF | 9.8 Mb
Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then.
This second new treatment, Evolution to Complex Geometries and Applications to Fluid Dynamics, provides an extensive overview of the essential algorithmic and theoretical aspects of spectral methods for complex geometries, in addition to detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. Modern strategies for constructing spectral approximations in complex domains, such as spectral elements, mortar elements, and discontinuous Galerkin methods, as well as patching collocation, are introduced, analyzed, and demonstrated by means of numerous numerical examples.