Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computational analysis of transport in three-dimensional heterogeneous
  materials   Porous and heterogeneous materials are found in many applications from
composites, membranes, chemical reactors, and other engineered materials to
biological matter and natural subsurface structures. In this work we propose an
integrated approach to generate, study and upscale transport equations in
random and periodic porous structures. The geometry generation is based on
random algorithms or ballistic deposition. In particular, a new algorithm is
proposed to generate random packings of ellipsoids with random orientation and
tunable porosity and connectivity. The porous structure is then meshed using
locally refined Cartesian-based or unstructured strategies. Transport equations
are thus solved in a finite-volume formulation with quasi-periodic boundary
conditions to simplify the upscaling problem by solving simple closure problems
consistent with the classical theory of homogenisation for linear
advection-diffusion-reaction operators. Existing simulation codes are extended
with novel developments and integrated to produce a fully open-source
simulation pipeline. A showcase of a few interesting three-dimensional
applications of these computational approaches is then presented. Firstly,
convergence properties and the transport and dispersion properties of a
periodic arrangement of spheres are studied. Then, heat transfer problems are
considered in a pipe with layers of deposited particles of different heights,
and in heterogeneous anisotropic materials.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex