Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An artificial neural network framework for reduced order modeling of
  transient flows   This paper proposes a supervised machine learning framework for the
non-intrusive model order reduction of unsteady fluid flows to provide accurate
predictions of non-stationary state variables when the control parameter values
vary. Our approach utilizes a training process from full-order scale direct
numerical simulation data projected on proper orthogonal decomposition (POD)
modes to achieve an artificial neural network (ANN) model with reduced memory
requirements. This data-driven ANN framework allows for a nonlinear time
evolution of the modal coefficients without performing a Galerkin projection.
Our POD-ANN framework can thus be considered an equation-free approach for
latent space dynamics evolution of nonlinear transient systems and can be
applied to a wide range of physical and engineering applications. Within this
framework we introduce two architectures, namely sequential network (SN) and
residual network (RN), to train the trajectory of modal coefficients. We
perform a systematic analysis of the performance of the proposed reduced order
modeling approaches on prediction of a nonlinear wave-propagation problem
governed by the viscous Burgers equation, a simplified prototype setting for
transient flows. We find that the POD-ANN-RN yields stable and accurate results
for test problems assessed both within inside and outside of the database range
and performs significantly better than the standard intrusive Galerkin
projection model. Our results show that the proposed framework provides a
non-intrusive alternative to the evolution of transient physics in a POD basis
spanned space, and can be used as a robust predictive model order reduction
tool for nonlinear dynamical systems.

7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
1
The categories of this paper are: cs