Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrange-Eulerian method for numerical integration of the gas dynamics
  equations: parallel implementation on GPUs   We describe a new CSPH-TVD method for numerical integration of hydrodynamical
equations. The method is based on combined Lagrange-Euler approaches, and it
has been devoted to simulations of hydrodynamical flows in various
astrophysical systems with non-homogeneous gravitational fields and the
non-steady boundary between gas and vacuum. A numerical algorithm was tested on
analytical solutions for various problems, and a detailed comparison of our
method with the MUSCL scheme is also presented in the paper. It is shown that
the CSPH-TVD scheme has a second order of accuracy for smooth solutions
(well-balanced approach) and it provides reliable solutions in the vicinity of
strong shock waves and at the open gas-vacuum interfaces. We also study the
effectiveness of parallel implementations of CSPH-TVD method for various NVIDIA
Tesla K20/40/80, P100 graphics processors.

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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph