Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A second-order pressure-accurate finite-difference scheme for the Stokes
  problem with rigid non-conforming boundaries   We present a finite-difference scheme which solves the Stokes problem in the
presence of curvilinear non-conforming interfaces and provides second-order
accuracy on physical field (velocity, vorticity) and especially on pressure.
The gist of our method is to rely on the Helmholtz decomposition of the Stokes
equation: the pressure problem is then written in an integral form devoid of
the spurious sources known to be the cause of numerical boundary layer error in
most implementations, leading to a discretization which guarantees a strict
enforcement of mass conservation. The ghost method is furthermore used to
implement the boundary values of pressure and vorticity near curved interfaces.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn