Spectral Methods for Incompressible Viscous Flow: 148

Peyret, Roger

Rilegato

ISBN 10: 0387952217 ISBN 13: 9780387952215

Casa editrice: Springer Nature, 2002

This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.

Recensione:

From the reviews:

"Spectral Methods for Incompressible Viscous Flow is a clear, thorough, and authoritative book ... . The author, throughout the book, frequently points out topics that are beyond the scope of this book and gives references to where such information is found. This makes the book an excellent resource for the entire field. ... this is an excellent book, which can serve both as a textbook for those who want to learn about spectral methods, as well as a reference for practitioners solving the Navier-Stokes equations." (Sigal Gottlieb and David Gottlieb, SIAM Review, Vol. 45 (2), 2003)

"The importance of spectral methods in obtaining the solutions of boundary value problems in a variety of situations of physical and engineering interest is well-known. ... This book gives a good understanding of spectral methods which deal with the flows of incompressible viscous fluid governed by Navier-Stokes equations. ... On the whole, this book is an excellent text for graduate students or researchers interested in learning spectral methods and in their application to incompressible fluid flows, and is a good addition to any library." (Adabala Ramachandra Rao, Zentralblatt MATH, Vol. 1005, 2003)

"The author sets out ‘to provide a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations.’ He has succeeded admirably. The book ... provides a clear exposition of the associated computational techniques, and gives information on the implementation of these techniques. ... It will appeal to applied mathematicians and CFD-oriented engineers at the post-graduate level and to anyone teaching or undertaking research on problems described by the Navier-Stokes equations. This book is highly recommended." (G de Vahl Davis, Applied Mechanics Reviews, Vol. 56 (1), 2003)

Dalla quarta di copertina:

This book provides a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations. The book is in three parts. The first part presents the fundamentals of the Fourier and Chebyshev methods for the solution of the Navier-Stokes equations considered in vorticity-streamfunction and velocity-pressure formulations. The third part of the book is concerned with the solution of stiff and singular problems, and with the domain decomposition method.
Every topic is accompanied by numerical examples, which further illustrate and assess the methods. Graduate students and researchers in applied mathematics and engineering working in fluid dxnamics, scientific computing, and numerical analysis will find this book of interest.