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. W...

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Bibliographic Details
Published in:Computer physics communications 2014-03, Vol.185 (3), p.764-776
Main Authors: Grimm-Strele, H., Kupka, F., Muthsam, H.J.
Format: Article
Language:English
Subjects:
Computer simulation
Coordinates
Curvilinear coordinates
Finite difference method
High Mach number
Hydrodynamics
Mapping
Mathematical analysis
Mathematical models
Methods: numerical
Numerical astrophysics
WENO scheme
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Summary: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.
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2013.11.005