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Spectral Methods for Incompressible Viscous Flow
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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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