Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing cost-effective particle trajectories in numerically calculated
  incompressible fluids using geometric methods   We present an novel algorithm for tracking massless solid particles in a
divergence-free velocity field that is only available at discrete points in
space and time such as those arising from a direct numerical simulation of
Navier-Stokes. The algorithm creates a divergence-free approximation to the
numerical field using matrix valued radial basis functions, which is integrated
in time using a volume-preserving map. The resulting method is able to
calculate accurate trajectories in a helical vortex using much larger
step-sizes and a far lower number of interpolation points which results in a
more efficient algorithm compared to a conventional scheme.

2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph