Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-intrusive reduced order modeling framework for quasi-geostrophic
  turbulence   In this study, we present a non-intrusive reduced order modeling (ROM)
framework for large-scale quasi-stationary systems. The framework proposed
herein exploits the time series prediction capability of long short-term memory
(LSTM) recurrent neural network such that: (i) in the training phase, the LSTM
model is trained on the modal coefficients extracted from the high-resolution
data using proper orthogonal decomposition (POD) transform, and (ii) in the
testing phase, the trained model predicts the modal coefficients for the total
time recursively based on the initial time history. To illustrate the
predictive performance of the proposed framework, the mean flow fields and time
series response of the field values are reconstructed from the predicted modal
coefficients by using an inverse POD transform. As a representative benchmark
test case, we consider a two-dimensional quasi-geostrophic (QG) ocean
circulation model which, in general, displays an enormous range of fluctuating
spatial and temporal scales. We first illustrate that the conventional Galerkin
projection based ROM of such systems requires a high number of POD modes to
obtain a stable flow physics. In addition, ROM-GP does not seem to capture the
intermittent bursts appearing in the dynamics of the first few most energetic
modes. However, the proposed non-intrusive ROM framework based on LSTM
(ROM-LSTM) yields a stable solution even for a small number of POD modes. We
also observe that the ROM-LSTM model is able to capture quasi-periodic
intermittent bursts accurately, and yields a stable and accurate mean flow
dynamics using the time history of a few previous time states, denoted as the
lookback time-window in this paper. Our findings suggest that the proposed ROM
framework is capable of predicting noisy nonlinear fluid flows in an extremely
efficient way compared to the conventional projection based ROM.

6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph