Spectral Methods for Incompressible Viscous Flow
By: by Roger Peyret
Series: Applied Mathematical Sciences -- 148; Applied mathematical sciences (Springer-Verlag New York Inc.) -- 148.
Publisher: Springer New York
Published: 2002
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 434
ISBN-13: 9781441929136; 9781475765571
Subjects: Mathematics; Numerical analysis; Hydraulic engineering
Description: 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.
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Table of contents: title: Introduction; title: Chapter 1: Fundamentals of Spectral Methods; title: Chapter 2: Fourier Method; title: Chapter 3: Chebyshev Method; title: Chapter 4: Time-dependent Equations; title: Chapter 5: Navier-Stokes Equations for Incompressible Fluids; title: Chapter 6: Vorticity-Streamfunction Equations; title: Chapter 7: Velocity-Pressure Equations; title: Chapter 8: Stiff and Singular Problems; title: Chapter 9: Domain Decomposition Method; title: Appendices; title: References; title: Index.