Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive boundary conditions for exterior stationary flows in three
  dimensions   Recently there has been an increasing interest for a better understanding of
ultra low Reynolds number flows. In this context we present a new setup which
allows to efficiently solve the stationary incompressible Navier-Stokes
equations in an exterior domain in three dimensions numerically. The main point
is that the necessity to truncate for numerical purposes the exterior domain to
a finite sub-domain leads to the problem of finding so called "artificial
boundary conditions" to replace the conditions at infinity. To solve this
problem we provide a vector filed that describes the leading asymptotic
behavior of the solution at large distances. This vector field depends
explicitly on drag and lift which are determined in a self-consistent way as
part of the solution process. When compared with other numerical schemes the
size of the computational domain that is needed to obtain the hydrodynamic
forces with a given precision is drastically reduced, which in turn leads to an
overall gain in computational efficiency of typically several orders of
magnitude.

29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat