Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Consistent SPH simulations of the anisotropic dispersion of a
  contaminant plume   Solute transport through heterogeneous porous media is governed by fuid
advection, molecular diffusion and anisotropic dispersion. The dispersion is
assumed to obey Fick's law and the dispersion coefficient is defined as a
second rank tensor. However, this problem has revealed to be a very difficult
one because independently of the numerical methods employed, the solutions are
seen to exhibit artificial oscillations and negative concentrations when the
dispersivity becomes anisotropic. Here we report consistent SPH simulations of
the anisotropic dispersion of a Gaussian contaminant plume in porous media
using the open source code DualSPHysics. Consistency of the SPH method is
restored by increasing the spatial resolution along with the number of
neighbours within the compact support of the interpolating kernel. The solution
shows that as the number of neighbours is increased with resolution, full
convergence of the numerical solutions is guaranteed regardless of the
dispersivity. However, despite the restored consistency, negative
concentrations, albeit at a lower level, are still present. This suggests that
a compromise between the number of neighbours and the size of the smoothing
length must be guaranteed such that sufficient implicit numerical diffusion
remains to damp out unphysical oscillations.

13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio