Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 54
Book Description
Spectral Methods for the Euler Equations
Author: Spectral Methods for the Euler Equations: Chebyshev Methods and Shock-fitting
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description
Spectral Methods for Inviscid, Compressible Flows
Author: M. Y. HussainiSpectral Methods
Author: Claudio CanutoPublisher: Springer Science & Business Media
ISBN: 3540307281
Category : Mathematics
Languages : en
Pages : 616
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.
Spectral Methods for Compressible Flow Problems
Author: David GottliebPublisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 28
Book Description
Chebyshev and Fourier Spectral Methods
Author: John P. BoydPublisher: Courier Corporation
ISBN: 0486141926
Category : Mathematics
Languages : en
Pages : 690
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.
Spectral Methods for Partial Differential Equations
Author: M. Y. HussainiPublisher:
ISBN:
Category :
Languages : en
Pages : 68
Book Description
Origins of spectral methods, especially their relation to the Method of Weighted Residuals, are surveyed. Basic Fourier, Chebyshev, and Legendre spectral concepts are reviewed, and demonstrated through application to simple model problems. Both collocation and tau methods are considered. These techniques are then applied to a number of difficult, nonlinear problems of hyperbolic, parabolic, elliptic, and mixed type. Fluid-dynamical applications are emphasized.
Spectral Methods in Fluid Dynamics
Author: Claudio CanutoPublisher: Springer Science & Business Media
ISBN: 3642841082
Category : Science
Languages : en
Pages : 582
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.
Spectral Methods for Partial Differential Equations
Author: Robert G. VoigtPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 284
Book Description
Chebyshev and Fourier Spectral Methods
Author: John P. BoydPublisher: Courier Corporation
ISBN: 0486411834
Category : Mathematics
Languages : en
Pages : 690
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.