Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spectral element method for modelling streamer discharges in
  low-temperature atmospheric-pressure plasmas   Streamers are ionization fronts that occur in gases at atmospheric and
sub-atmospheric pressures. Numerical studies of streamers are important for
practical applications but are challenging due to the multiscale nature of this
discharge type. This paper introduces a spectral element method for modelling
streamer discharges. The method is developed for Cartesian grids but can be
extended to be used on unstructured meshes. The streamer model is based on the
Poisson equation for the electric potential and the electron continuity
equation. The Poisson equation is discretized via a spectral method based on
the integral representation of the solution. The hierarchical Poincare-Steklov
(HPS) scheme is used to solve the resulting set of equations. The electron
continuity equation is solved by means of the discontinuous Galerkin spectral
element method (DGSEM). The DGSEM is extended by an alternative definition of
the diffusion flux. A subcell finite volume method is used to stabilize the
DGSEM scheme, if required. The entire simulation scheme is validated by solving
a number of test problems and reproducing the results of previous studies.
Adaptive mesh refinement is used to reduce the number of unknowns. The proposed
method is found to be sufficiently fast for being used in practical
applications. The flexibility of the method provides an interesting opportunity
to broaden the range of problems that can be addressed in numerical studies of
low-temperature plasma discharges.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci