4 papers
Reduced order modelling of Hopf bifurcations for the Navier-Stokes equations through invariant manifolds
Alessio Colombo, Alessandra Vizzaccaro, Cyril Touzé +3
This work introduces a parametric simulation-free reduced order model for incompressible flows undergoing a Hopf bifurcation, leveraging the parametrisation method for invariant ma…
Parametric-ROM of Structures with Varying Geometry using Direct Parameterization of Invariant Manifolds
Tiago Martins, Alessandra Vizzaccaro, Daniel Rixen
This work presents a framework for parametric reduction in FEM, where geometry is controlled by a parameter without altering material properties or stress states. The inverse deter…
Reduced-order modelling of parameter-dependent systems with invariant manifolds: application to Hopf bifurcations in follower force problems
André de F. Stabile, Alessandra Vizzaccaro, Loïc Salles +3
The direct parametrisation method for invariant manifolds is adjusted to consider a varying parameter. More specifically, the case of systems experiencing a Hopf bifurcation in the…
High order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to large amplitude vibrations and uncovering of a folding point
Alessandra Vizzaccaro, Andrea Opreni, Loïc Salles +2
This paper investigates model-order reduction methods for geometrically nonlinear structures. The parametrisation method of invariant manifolds is used and adapted to the case of m…