Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Riemannian Barycentric Interpolation : Derivation of the Parametric
  Unsteady Navier-Stokes Reduced Order Model   A new application of subspaces interpolation for the construction of
nonlinear Parametric Reduced Order Models (PROMs) is proposed. This approach is
based upon the Riemannian geometry of the manifold formed by the quotient of
the set of full-rank N-by-q matrices by the orthogonal group of dimension q. By
using a set of untrained parametrized Proper Orthogonal Decomposition (POD)
subspaces of dimension q, the subspace for a new untrained parameter is
obtained as the generalized Karcher barycenter which solution is sought after
by solving a simple fixed point problem. Contrary to existing PROM approaches,
the proposed barycentric PROM is by construction easier to implement and more
flexible with respect to change in parameter values. To assess the potential of
the barycentric PROM, numerical experiments are conducted on the parametric
flow past a circular cylinder and the flow in a lid driven cavity when the
value of Reynolds number varies. It is demonstrated that the proposed
barycentric PROM approach achieves competitive results with considerably
reduced computational cost.

33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con