Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well balancing of the SWE schemes for moving-water steady flows   In this work, the exact reproduction of a moving-water steady flow via the
numerical solution of the one-dimensional shallow water equations is studied. A
new scheme based on a modified version of the HLLEM approximate Riemann solver
[Dumbser M. and Balsara D.S., J. Comput. Phys. 304 (2016) 275--319] that
exactly preserves the total head and the discharge in the simulation of smooth
steady flows and that correctly dissipates mechanical energy in the presence of
hydraulic jumps is presented. This model is compared with a selected set of
schemes from the literature, including models that exactly preserve quiescent
flows and models that exactly preserve moving-water steady flows. The
comparison highlights the strengths and weaknesses of the different approaches.
In particular, the results show that the increase in accuracy in the
steady-state reproduction is counterbalanced by a reduced robustness and
numerical efficiency of the models. Some solutions to reduce these drawbacks,
at the cost of increased algorithm complexity, are presented.

36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg