Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bound-preserving discontinuous Galerkin method for compressible miscible
  displacement in porous media   In this paper, we develop bound-preserving discontinuous Galerkin (DG)
methods for the coupled system of compressible miscible displacement problems.
We consider the problem with two components and the (volumetric) concentration
of the $i$th component of the fluid mixture, $c_i$, should be between $0$ and
$1$. However, $c_i$ does not satisfy the maximum principle. Therefore, the
numerical techniques introduced in (X. Zhang and C.-W. Shu, Journal of
Computational Physics, 229 (2010), 3091-3120) cannot be applied directly. The
main idea is to apply the positivity-preserving techniques to both $c_1$ and
$c_2$, respectively and enforce $c_1+c_2=1$ simultaneously to obtain physically
relevant approximations. By doing so, we have to treat the time derivative of
the pressure $dp/dt$ as a source in the concentration equation. Moreover,
$c_i's$ are not the conservative variables, as a result, the classical
bound-preserving limiter in (X. Zhang and C.-W. Shu, Journal of Computational
Physics, 229 (2010), 3091-3120) cannot be applied. Therefore, another limiter
will be introduced. Numerical experiments will be given to demonstrate the
accuracy in $L^\infty$-norm and good performance of the numerical technique.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph