Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: gVOF: An open-source package for unsplit geometric volume of fluid
  methods on arbitrary grids   The gVOF package includes a complete and self-contained set of routines for
volume of fluid initialization, interface reconstruction and fluid advection,
which are used to implement several accurate and efficient geometric volume of
fluid (VOF) methods on arbitrary grids, either structured or unstructured with
convex or non-convex cells, based on multidimensional unsplit advection and
piecewise linear interface calculation (PLIC) schemes. The package uses the
non-convex analytical and geometrical tools developed by L\'opez et al. [J.
Comput. Phys. 392 (2019) 666-693] and the isosurface extraction procedure
proposed by L\'opez et al. [J. Comput. Phys. 444 (2021) 110579]. The operations
required during the advection step of unsplit geometric VOF methods in general
involve handling of high-complex non-convex flux polyhedra, even with
self-intersecting faces, which are robustly and efficiently treated in this
work without the need of costly techniques based on convex decomposition.
Results for the accuracy, computational efficiency, and volume (local and
global) conservation properties of different combinations of the implemented
advection and reconstruction methods are presented for several numerical tests
on structured and unstructured grids. An extensive comparison with results
obtained by other authors using advanced geometric VOF methods shows the
outstanding performance of the gVOF package in terms of efficiency and
accuracy. To demonstrate the performance of the package in solving complex
two-phase flow problems, the implemented methods are combined with an existing
in-house code to simulate the impact of a water drop on a free surface. The
package can be used in FORTRAN or C languages and will be publicly available
for download. The OpenMP application programming interface is also used to
improve computational efficiency.

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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat