Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-time simulation of parameter-dependent fluid flows through deep
  learning-based reduced order models   Simulating fluid flows in different virtual scenarios is of key importance in
engineering applications. However, high-fidelity, full-order models relying,
e.g., on the finite element method, are unaffordable whenever fluid flows must
be simulated in almost real-time. Reduced order models (ROMs) relying, e.g., on
proper orthogonal decomposition (POD) provide reliable approximations to
parameter-dependent fluid dynamics problems in rapid times. However, they might
require expensive hyper-reduction strategies for handling parameterized
nonlinear terms, and enriched reduced spaces (or Petrov-Galerkin projections)
if a mixed velocity-pressure formulation is considered, possibly hampering the
evaluation of reliable solutions in real-time. Dealing with fluid-structure
interactions entails even higher difficulties. The proposed deep learning
(DL)-based ROMs overcome all these limitations by learning in a non-intrusive
way both the nonlinear trial manifold and the reduced dynamics. To do so, they
rely on deep neural networks, after performing a former dimensionality
reduction through POD enhancing their training times substantially. The
resulting POD-DL-ROMs are shown to provide accurate results in almost real-time
for the flow around a cylinder benchmark, the fluid-structure interaction
between an elastic beam attached to a fixed, rigid block and a laminar
incompressible flow, and the blood flow in a cerebral aneurysm.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org