SPECTRAL METHODS - EVOLUTION TO COMPLEX GEOMETRIES AND APPLICATIONS TO FLUID DYN

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Ouvrage 9783540307273 : SPECTRAL METHODS - EVOLUTION TO COMPLEX GEOMETRIES AND APPLICATIONS TO FLUID DYN
About this book
Since the publication of Spectral Methods in Fluid Dynamics, 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 the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988.
The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. Both the algorithmic and theoretical discussions cover spectral methods on tensor-product domains, triangles and tetrahedra.
This companion book Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow is focused on those algorithms that have proven most useful in practice over the past two decades, has much greater coverage of algorithms for two or more non-periodic directions, and describes how to treat outflow boundaries. The material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting.
Written for:
Students, researchers, mechanical engineers involved in numerical and scientific computing
Keywords:
Compressible Flows
Fluid Dynamics
Fourier Approximation
Galerkin Approximation
High-Order Methods
Incompressible Flows
Numerical Analysis
Scientific Computing
Spectral Algorithms
Spectral Methods
Spectral Multigrid Methods
Stability
Table of contents
Fluid Dynamics Fundamentals.- Single-Domain Methods for Stability Analyses.- Single-Domain Methods for Incompressible Flows.- Single-Domain Methods for Compressible Flows.- Multidomain Discretizations.- Multidomain Solution Strategies.- Incompressible Flows in Complex Domains.- Spectral Methods Primer.- Appendices.- References.

Auteur : CANUTO
Editeur : SPRINGER VERLAG
Nombre de pages : 630
Date de publication : 06 2007

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