Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Data-driven stochastic Lie transport modelling of the 2D Euler equations   Stochastic modelling of coarse-grid SPDEs of the two-dimensional Euler
equations, in the framework of Stochastic Advection by Lie Transport (SALT)
[Cotter et al, 2019], is considered. We propose and assess a number of models
as stochastic forcing. The latter is decomposed in terms of a deterministic
basis (empirical orthogonal functions) multiplied by temporal traces, here
regarded as stochastic processes. In particular, we construct the stochastic
forcing from the probability density functions (pdfs) and the correlation times
obtained from a fine-grid data set. We perform uncertainty quantification tests
to compare the different stochastic models. In particular, comparison to
Gaussian noise, in terms of ensemble mean and ensemble spread, is conducted.
Reduced uncertainty is observed for the developed models. On short timescales,
such as those used for data assimilation [Cotter et al, 2020a], the former
models show a reduced ensemble mean error and a reduced spread. Estimating the
pdfs yielded stochastic ensembles which rarely failed to capture the reference
solution on short timescales, as is demonstrated by rank histograms. Overall,
introducing correlation into the stochastic models improves the quality of the
coarse-grid predictions with respect to white noise.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin