Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A scalable DG solver for the electroneutral Nernst-Planck equations   The robust, scalable simulation of flowing electrochemical systems is
increasingly important due to the synergy between intermittent renewable energy
and electrochemical technologies such as energy storage and chemical
manufacturing. The high P\'eclet regime of many such applications prevents the
use of off-the-shelf discretization methods. In this work, we present a
high-order Discontinuous Galerkin scheme for the electroneutral Nernst-Planck
equations. The chosen charge conservation formulation allows for the specific
treatment of the different physics: upwinding for advection and migration, and
interior penalty for diffusion of ionic species as well the electric potential.
Similarly, the formulation enables different treatments in the preconditioner:
AMG for the potential blocks and ILU-based methods for the advection-dominated
concentration blocks. We evaluate the convergence rate of the discretization
scheme through numerical tests. Strong scaling results for two preconditioning
approaches are shown for a large 3D flow-plate reactor example.

34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph