Presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. This book discusses the conditions required to satisfy the no-slip boundary conditions in the various formulations. For each formulation, it provides a statement of the mathematical problem. Series: International Series of Numerical Mathematics. Num Pages: 304 pages, biography. BIC Classification: PBKS; PDE; PHDF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 19. Weight in Grams: 609. . 1993. Hardback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Numerical Solution of the Incompressible Navier-Stokes Equations
Publisher: Birkhauser Verlag AG
Publication Date: 1993
Language: English
ISBN 10: 3764329351
ISBN 13: 9783764329358
Binding: Hardcover
Condition: New

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Synopsis

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 A substantial portion of the book contains new results and unpublished material.

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