Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A direct Eulerian GRP scheme for a blood flow model in arteries   In this paper, we propose a direct Eulerian generalized Riemann problem (GRP)
scheme for a blood flow model in arteries. It is an extension of the Eulerian
GRP scheme, which is developed by Ben-Artzi, et. al. in J. Comput. Phys.,
218(2006). By using the Riemann invariants, we diagonalize the blood flow
system into a weakly coupled system, which is used to resolve rarefaction wave.
We also use Rankine-Hugoniot condition to resolve the local GRP formulation. We
pay special attention to the acoustic case as well as the sonic case. The
extension to the two dimensional case is carefully obtained by using the
dimensional splitting technique. We test that the derived GRP scheme is second
order accuracy.

25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga