Kniha Advances in the Finite Element Method for Fluid Flow Mohamed Hamdy Doweidar

Advances in the Finite Element Method for Fluid Flow

Stabilized Methods, A-Posteriori Error Estimation and Mesh Adaptivity

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: VDM Verlag
Dostupnost: U nakladatele na objednávku
Odesíláme za 17-27 dnů
1 874
Throughout this book three main topics are presented. The first one presents the new SGS/GSGS variat...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2011
Stránek
220
EAN
9783639369939
ISBN
3639369939
Enbook ID
06843739
Vydavatel
Hmotnost
327
Rozměry
152 x 229 x 13

Kompletní popis

Throughout this book three main topics are presented. The first one presents the new SGS/GSGS variational formulation. The local stability of this method is much better than that of the present stabilized methods. Moreover, in the advective-diffusive limit and for piecewise linear functional spaces, the method recovers the classical SUPG method. The second topic is the analysis of the most common transient methods for the transient advection-diffusion-reaction equation. This analysis includes semi-discrete, time-discontinuous space-time stabilized finite element methods and several predictor multi-corrector versions. In the last topic, a new explicit a-posteriori error estimator is presented, which is derived from the variational multiscale theory. The error estimator uses an approximation of the Green's function, which reproduces the error according to the dual problem. The technique is applied to fluid flow transport, showing that for convection-dominated flows, the efficiency index is independent of the diffusion coefficient.

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