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Introduction and Mathematical Preliminaries

Computational fluid dynamics, (abbreviated CFD) studies problems of fluid dynamics using numerical methods on a computer. Although the subject fluid dynamics is about three centuries old, CFD is a relatively new subject. It is hardly four decades old. Remarkable success has been achieved in CFD during this time, particularly, in handling nonlinear problems and problems involving complex geometries. Computational methods developed in CFD are being increasingly applied to other branches of science and engineering. The problems of study in CFD are often formulated in terms of a partial differential equation or in terms of a system of such equations, together with boundary and/or initial conditions. ...

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