Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical comparison of Riemann solvers for astrophysical hydrodynamics   The idea of this work is to compare a new positive and entropy stable
approximate Riemann solver by Francois Bouchut with a state-of the-art
algorithm for astrophysical fluid dynamics. We implemented the new Riemann
solver into an astrophysical PPM-code, the Prometheus code, and also made a
version with a different, more theoretically grounded higher order algorithm
than PPM. We present shock tube tests, two-dimensional instability tests and
forced turbulence simulations in three dimensions. We find subtle differences
between the codes in the shock tube tests, and in the statistics of the
turbulence simulations. The new Riemann solver increases the computational
speed without significant loss of accuracy.

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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio