论文标题
改进了3D MHD模型中极化辐射转移的接近最佳角四倍体
Improved near optimal angular quadratures for polarised radiative transfer in 3D MHD models
论文作者
论文摘要
准确的角四二次化对于三维（3D）辐射转移问题的数值溶液至关重要，尤其是在包括各向异性辐射散射产生的光谱线极化时。获得最佳正交有两个要求，并且很难同时满足：高精度和较短的计算时间。通过施加某些对称性，我们最近能够得出一组接近最佳的角四倍。在这里，我们通过考虑其他对称性来扩展以前的研究。此外，我们通过在太阳大气的3D模型中通过数值求解共振线极化的辐射转移问题来测试新的四倍体的性能。在这里得出的新角四倍数优于以前的四倍数，就实现给定准确性所需的射线数量而言。
Accurate angular quadratures are crucial for the numerical solution of three-dimensional (3D) radiative transfer problems, especially when the spectral line polarisation produced by the scattering of anisotropic radiation is included. There are two requirements for obtaining an optimal quadrature and they are difficult to satisfy simultaneously: high accuracy and short computing time. By imposing certain symmetries, we were recently able to derive a set of near optimal angular quadratures. Here, we extend our previous investigation by considering other symmetries. Moreover, we test the performance of our new quadratures by numerically solving a radiative transfer problem of resonance line polarisation in a 3D model of the solar atmosphere resulting from a magneto-hydrodynamical simulation. The new angular quadratures derived here outperform the previous ones in terms of the number of rays needed to achieve any given accuracy.
