Implementation of Finite Element Methods for Navier-Stokes Equations

Lingua: inglese

Editore: Springer, Springer Dez 2012, 2012

364287049X / 9783642870491

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 172 pp. Englisch.…

Codice articolo 9783642870491

Titolo
Implementation of Finite Element Methods for Navier-Stokes Equations
Autore
F. Thomasset
Editore
Springer, Springer Dez 2012
Anno di pubblicazione
2012
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
364287049X
ISBN 13
9783642870491
Peso dell'articolo
271 grammi
Dimensioni
235x155x10 mm

buchversandmimpf2000

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