Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large-scale empirical study on the momentum equation's inertia term   A common approach to reduce the Euler equations' complexity for the
simulation and optimization of gas networks is to neglect small terms that
contribute little to the overall equations. An example is the inertia term of
the momentum equation since it is said to be of negligible size under
real-world operating conditions. However, this justification has always only
been based on experience or single sets of artificial data points. This study
closes this gap by presenting a large-scale empirical evaluation of the
absolute and relative size of the inertia term when operating a real-world gas
network. Our data consists of three years of fine-granular state data of one of
the largest gas networks in Europe, featuring over 6,000 pipes with a total
length of over 10,000 km. We found that there are only 120 events in which a
subnetwork consisting of multiple pipes has an inertia term of high
significance for more than three minutes. On average, such an event occurs less
often than once every ten days. Therefore, we conclude that the inertia term is
indeed negligible for real-world transient gas network control problems.

10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg