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Navier-Stokes Equations in Planar Domains

Navier-Stokes Equations in Planar Domains

Hardcover

Technology & EngineeringGeneral Mathematics

ISBN10: 1848162758
ISBN13: 9781848162754
Publisher: Imperial College Press
Published: Jun 30 2011
Pages: 316
Weight: 1.35
Height: 0.90 Width: 6.10 Depth: 9.10
Language: English
This volume deals with the classical Navier-Stokes 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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