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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Mechanik & Akustik Implementation of Finite Element Methods for Navier-Stokes Equations
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Implementation of Finite Element Methods for Navier-Stokes Equations
F. Thomasset (Broschiert, Englisch)
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Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
12.12.2012
Sprache
Englisch
EAN
9783642870491
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Scientific Computation
Sonderedition
Nein
Autor
F. Thomasset
Seitenanzahl
164
Einbandart
Broschiert
Schlagwörter
Finite-Element-Methode, Navier-Stokes equation, Navier-Stokes equations, Navier-Stokessche Gleichung, Stokessche Gleichung, complexity, fluid mechanics, mechanics, solution, fluid- and aerodynamics
Thema-Inhalt
PHD - Klassische Mechanik
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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