Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transported snapshot model order reduction approach for parametric,
  steady-state fluid flows containing parameter dependent shocks   A new model order reduction approach is proposed for parametric steady-state
nonlinear fluid flows characterized by shocks and discontinuities whose spatial
locations and orientations are strongly parameter dependent. In this method,
solutions in the predictive regime are approximated using a linear
superposition of parameter dependent basis. The sought after parametric
reduced-basis are obtained by transporting the snapshots in a spatially and
parametrically dependent transport field. Key to the proposed approach is the
observation that the transport fields are typically smooth and continuous,
despite the solution themselves not being so. As a result, the transport fields
can be accurately expressed using a low-order polynomial expansion. Similar to
traditional projection-based model order reduction approaches, the proposed
method is formulated mathematically as a residual minimization problem for the
generalized coordinates. The proposed approach is also integrated with
well-known hyper-reduction strategies to obtain significant computational
speed-ups. The method is successfully applied to the reduction of a parametric
1-D flow in a converging-diverging nozzle, a parametric 2-D supersonic flow
over a forward facing step and a parametric 2-D jet diffusion flame in a
combustor.

9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int