Implementation of Finite Element Methods for Navier-Stokes Equations by F. Thomasset (Paperback, 2012)

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Product Information

In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977 . (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.

Product Identifiers

PublisherSpringer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
ISBN-139783642870491
eBay Product ID (ePID)176283772

Product Key Features

Number of Pages164 Pages
Publication NameImplementation of Finite Element Methods for Navier-Stokes Equations
LanguageEnglish
SubjectMechanics, Physics
Publication Year2012
TypeTextbook
AuthorF. Thomasset
SeriesScientific Computation
FormatPaperback

Dimensions

Item Height235 mm
Item Weight272 g
Item Width155 mm

Additional Product Features

Country/Region of ManufactureGermany
Title_AuthorF. Thomasset
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