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- W3102252125 abstract "Observations and magnetohydrodynamic simulations of solar and stellar atmospheres reveal an intermittent behavior or steep gradients in physical parameters, such as magnetic field, temperature, and bulk velocities. The numerical solution of the stationary radiative transfer equation is particularly challenging in such situations, because standard numerical methods may perform very inefficiently in the absence of local smoothness. However, a rigorous investigation of the numerical treatment of the radiative transfer equation in discontinuous media is still lacking. The aim of this work is to expose the limitations of standard convergence analyses for this problem and to identify the relevant issues. Moreover, specific numerical tests are performed. These show that discontinuities in the atmospheric physical parameters effectively induce first-order discontinuities in the radiative transfer equation, reducing the accuracy of the solution and thwarting high-order convergence. In addition, a survey of the existing numerical schemes for discontinuous ordinary differential systems and interpolation techniques for discontinuous discrete data is given, evaluating their applicability to the radiative transfer problem." @default.
- W3102252125 created "2020-11-23" @default.
- W3102252125 creator A5057812466 @default.
- W3102252125 date "2019-02-01" @default.
- W3102252125 modified "2023-09-24" @default.
- W3102252125 title "Discontinuities in numerical radiative transfer" @default.
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- W3102252125 doi "https://doi.org/10.1051/0004-6361/201833984" @default.
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