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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 (Gebundene Ausgabe, 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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.11.1981
Sprache
Englisch
EAN
9783540107712
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Scientific Computation
Sonderedition
Nein
Autor
F. Thomasset
Seitenanzahl
164
Einbandart
Gebundene Ausgabe
Schlagwörter
Navier-Stokessche Gleichung, Stokessche Gleichung, Navier-Stokes equations, solution, complexity, fluid mechanics, Finite-Element-Methode, Navier-Stokes equation, mechanics
Thema-Inhalt
PHDF - Strömungsmechanik
PHU - Mathematische Physik
PHU - Mathematische Physik
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