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- W2303311491 abstract "To calculate instability flows where radiative transport plays a role, it is mandatory to have one-dimensional (1-D) spherical symmetry. To obtain this 1-D symmetry, a new approach for solving the transport equation in the context of the discrete ordinates method is proposed in two-dimensional cylindrical geometry. Based on a new formulation of the spatial transport term, this method allows us to derive a scheme preserving the 1-D symmetry on an equal-angle zoning mesh. We prove this property at both discrete angle and spatial levels. Numerical results show that the scheme based on our method preserves constant solutions and the 1-D symmetry, and it is consistent of order 1." @default.
- W2303311491 created "2016-06-24" @default.
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- W2303311491 date "2016-04-01" @default.
- W2303311491 modified "2023-09-25" @default.
- W2303311491 title "Discrete Ordinates Method for the Transport Equation Preserving One-Dimensional Spherical Symmetry in Two-Dimensional Cylindrical Geometry" @default.
- W2303311491 cites W1674269099 @default.
- W2303311491 doi "https://doi.org/10.13182/nse15-38" @default.
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