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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| Veröffentlicht in: | Computer physics communications 2014-03, Vol.185 (3), p.764-776 |
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| container_title | Computer physics communications |
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| creator | Grimm-Strele, H. Kupka, F. Muthsam, H.J. |
| description | 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. |
| doi_str_mv | 10.1016/j.cpc.2013.11.005 |
| format | Article |
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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. 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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. 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| ispartof | Computer physics communications, 2014-03, Vol.185 (3), p.764-776 |
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| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Computer simulation Coordinates Curvilinear coordinates Finite difference method High Mach number Hydrodynamics Mapping Mathematical analysis Mathematical models Methods: numerical Numerical astrophysics WENO scheme |
| title | Curvilinear grids for WENO methods in astrophysical simulations |
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