Joris Degroote

Title: Paper-review: Aeroelastic analysis of F-16 and F-18/A configurations
using adapted CFD-based reduced-order models (D. Amsallem, C. Farhat
and T. Lieu)

Abstract:

A lot of model reduction techniques project the full-order equations
on a set of basis vectors to obtain a reduced-order model. These basis
vectors can depend on one or more parameters. When a reduced-order
model is required for several values of a parameter, it is
time-consuming to generate a set of basis vectors for every value of
the parameter. The paper 'Aeroelastic analysis of F-16 and F-18/A
configurations using adapted CFD-based reduced-order models'
(D. Amsallem, C. Farhat and T. Lieu) presents a technique to obtain a
set of basis vectors for a new value of a parameter by interpolating
between sets of basis vectors obtained at other values of that
parameter.

The interpolation between the sets of basis vectors is based on
interpolation on a tangent space to a Grassmann manifold. The concept
of a Grassmann manifold and the mapping to and from the tangent space
to the manifold will be explained intuitively. The advantage of
interpolation in the tangent space to a Grassmann manifold over direct
interpolation will be shown. Other techniques to interpolate between
sets of basis vectors like subspace angle interpolation and direct
interpolation will be introduced briefly. An overview of the results
in the paper will demonstrate the possibilities and limitations of the
new technique.