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 general since it can in principle be specialized to a wide class of nonlinear problems, but in this work we focus on an application in incompressible fluid dynamics at low Reynolds numbers. The validation of the reduced order model with the full order computation for a benchmark cavity flow problem is promising.


Reduced basis method Proper orthogonal decomposition Steady bifurcation Hopf bifurcation Navier–Stokes Flow stability Spectral element method 


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© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.mathLab, Mathematics AreaSISSA, International School for Advanced StudiesTriesteItaly

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