On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics
For researchers studying bifurcation problems in fluid dynamics, this method offers a way to reduce computational cost, though it is an incremental application of existing techniques.
The paper applies a reduced basis method to compute flow bifurcation and stability diagrams in fluid dynamics, reducing computational time. Validation on a benchmark cavity flow problem shows promising results.
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.