Spectral Methods for Incompressible Viscous Flow

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ISBN-13:
9780387952215
Erscheinungsdatum:
01.03.2002
Seiten:
434
Autor:
Roger Peyret
Gewicht:
757 g
Format:
247x155x26 mm
Serie:
148, Applied Mathematical Sciences
Sprache:
Englisch
Beschreibung:

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.
Introduction * Fundamentals of Spectral Methods * Fourier Method * Chebyshev Method * Time-Dependent Equations * Navier-Stokes Equations for Incompressible Fluids * Vorticity-Streamfunction Equations * Velocity-Streamfunction Equations * Velocity-Pressure Equations * Stiff and Singular Problems * Domain Decomposition Method* Appendices * References * Index
This well-written book explains the theory of spectral methods and their aplication to incompressible fluid flow in clear and elementary terms. It begins with an introduction to the fundamentals of spectral methods and then moves on to cover, in particular, the Fourier and Chebyshev methods. Examples and exercises are included. Chapters 4 and 5 handle streamfunction-vorticity and velocity-pressure for Navier-Stokes equations. Chapter 6 addresses special topics such as self-adaptive coordinate transform, domain decomposition, treatment of singularities, and free-surface flow. The work will be useful to those teaching in the field at the graduate level, as well as to researchers working in the area.

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