Numerical Solution of the Incompressible Navier-Stokes Equations

By: L. Quartapelle, Quartapelle

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Hardcover | 1 September 1993

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308 Pages

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23.39 x 15.6 x 1.91

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This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.

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Preface
The incompressible Navier-Stokes equations
Nonprimitive variable formulations in 2D
Nonprimitive variable formulations in 3D
Vorticity-velocity representation
Primitive variable formulation
Evolutionary pressure-velocity equations
Fractional-step projection method
Incompressible Euler equations
App. A Vector differential operators
App. B Separation of vector elliptic equations
App. C Spatial difference operators
App. D Time derivative of integrals over moving domains
References	p. 281
Table of Contents provided by Blackwell. All Rights Reserved.

Numerical Solution of the Incompressible Navier-Stokes Equations

At a Glance

Hardcover

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