This volume deals with the classical NavierStokes system of
equations governing the planar flow of incompressible, viscid
fluid. It is a first-of-its-kind book, devoted to all aspects of
the study of such flows, ranging from theoretical to numerical,
including detailed accounts of classical test problems such as
"driven cavity" and "double-driven cavity."
A comprehensive treatment of the mathematical theory developed
in the last 15 years is elaborated, heretofore never presented in
other books. It gives a detailed account of the modern compact
schemes based on a "pure streamfunction" approach. In particular, a
complete proof of convergence is given for the full nonlinear
problem.
This volume aims to present a variety of numerical test
problems. It is therefore well positioned as a reference for both
theoretical and applied mathematicians, as well as a text that can
be used by graduate students pursuing studies in (pure or applied)
mathematics, fluid dynamics and mathematical physics.
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