Author: Daniela Lorenzato
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 366

View

Book Description

Author: Claudio Canuto
Publisher: Springer Science & Business Media
ISBN: 3540307281
Category : Mathematics
Languages : en
Pages : 616

View

Book Description
Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: 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 focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. 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. This book is a companion to Spectral Methods: Fundamentals in Single Domains.

Author: M. Y. Hussaini
Publisher:
ISBN:
Category :
Languages : en
Pages : 44

View

Book Description

Author: Gottlieb
Publisher:
ISBN:
Category :
Languages : en
Pages : 4

View

Book Description
The investigators pursued research on the use of spectral methods in computational fluid dynamics. The implementation is examined for the solution of time dependent partial differential equations. Other topics pursued included the adaptation of spectral methods for compressible flow problems involving shocks, and the exploration of information content in spectral calculations. Papers produced during this effort included such titles as Spectral methods for time dependent partial differential equations, recovering pointwise values of discontinuous data within spectral accuracy, and Information content in spectral calculations.

Author: Claudio Canuto
Publisher: Springer Science & Business Media
ISBN: 3642841082
Category : Science
Languages : en
Pages : 582

View

Book Description
This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.

Author: David Gottlieb
Publisher:
ISBN:
Category :
Languages : en
Pages : 7

View

Book Description
This document discusses briefly the following research topics: 1) Spectral methods for time dependent partial differential equations; 2) Spectral methods for compressible flow problems; 3) Recovering pointwise values of discontinuous data within spectral accuracy; 4) Information content in spectral calculations; 5) Spectral methods for discontinuous problems; 6) Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method; and 7) boundary conditions for incompressible flows.

Author: John P. Boyd
Publisher: Courier Corporation
ISBN: 0486141926
Category : Mathematics
Languages : en
Pages : 690

View

Book Description
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Author: David Gottlieb
Publisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 28

View

Book Description

Author: Robert G. Voigt
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 284

View

Book Description

Author: Claudio Canuto
Publisher: Springer Science & Business Media
ISBN: 3540307265
Category : Science
Languages : en
Pages : 585

View

Book Description
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.