Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Curvilinear Grids for WENO Methods in Astrophysical Simulations   We investigate the applicability of curvilinear grids in the context of
astrophysical simulations and WENO schemes. With the non-smooth mapping
functions from Calhoun et al. (2008), we can tackle many astrophysical problems
which were out of scope with the standard grids in numerical astrophysics. We
describe the difficulties occurring when implementing curvilinear coordinates
into our WENO code, and how we overcome them. We illustrate the theoretical
results with numerical data. The WENO finite difference scheme works only for
high Mach number flows and smooth mapping functions whereas the finite volume
scheme gives accurate results even for low Mach number flows and on non-smooth
grids.

27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an