Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupling staggered-grid and vertex-centered finite-volume methods for
  coupled porous-medium free-flow problems   In this work, a new discretization approach for coupled free and
porous-medium flows is introduced, which uses a finite volume staggered-grid
method for the discretization of the Navier-Stokes equations in the free-flow
subdomain, while a vertex-centered finite volume method is used in the
porous-medium flow domain. The latter allows for the use of unstructured grids
in the porous-medium subdomain, and the presented method is capable of handling
non-matching grids at the interface. In addition, the accurate evaluation of
coupling terms and of additional nonlinear velocity-dependent terms in the
porous medium is ensured by the use of basis functions and by having degrees of
freedom naturally located at the interface. The available advantages of this
coupling method are investigated in a series of tests: a convergence test for
various grid types, an evaluation of the implementation of coupling conditions,
and an example using the velocity dependent Forchheimer term in the
porous-medium subdomain.

14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int