On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics

In this paper we apply a reduced basis framework for the computation of flow bifurcation (and stability) problems in fluid dynamics. The proposed method aims at reducing the complexity and the computational time required for the construction of bifurcation and stability diagrams. The method is quite...

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Veröffentlicht in:	Journal of scientific computing Jg. 73; H. 1; S. 157 - 177
Hauptverfasser:	Pitton, Giuseppe, Rozza, Gianluigi
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York Springer US 01.10.2017 Springer Nature B.V
Schlagworte:	Algorithms Approximation Bifurcations Boundary conditions Cavity flow Computational Mathematics and Numerical Analysis Computing time Dynamic stability Flow stability Fluid dynamics Fluid flow Fluid mechanics Incompressible flow Incompressible fluids Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Reduced order models Reynolds number Theoretical Velocity Vortices Flow stability Proper orthogonal decomposition Steady bifurcation Navier–Stokes Spectral element method Hopf bifurcation Reduced basis method
ISSN:	0885-7474, 1573-7691
Online-Zugang:	Volltext
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