二维多频隐式半模拟蒙特卡罗（ISMC）辐射转移求解器（无隐形传态）
Multi-Frequency Implicit Semi-analog Monte-Carlo (ISMC) Radiative Transfer Solver in Two-Dimensions (without Teleportation)
摘要：
我们研究了多维辐射转移现象使用ISMC计划，在灰色和多频问题。隐式蒙特卡罗（IMC）方法已经使用了50年。基本算法产生隐形传态误差，光子的传播速度比正确的热锋速度快。最近[Poëtte和Valentin，J. Comp. Phys.，412，109405（2020）]，提出了一种基于半模拟格式的隐式格式，并在几个一维灰问题上进行了验证。在这个方案中，细胞的物质能量由物质粒子携带，光子仅由现有的物质粒子产生。结果，隐形传态误差消失，由于无限的离散空间精度的计划。我们研究的有效性的新计划在二维问题，无论是在笛卡尔和圆柱形几何。此外，我们介绍了一个扩展的新计划的多频问题。我们表明，ISMC计划提出了良好的结果，在大量的基准，特别是对缓慢的经典IMC收敛没有隐形传态误差。
英文摘要：
We study the multi-dimensional radiative transfer phenomena using the ISMC scheme, in both gray and multi-frequency problems. Implicit Monte-Carlo (IMC) schemes have been in use for five decades. The basic algorithm yields teleportation errors, where photons propagate faster than the correct heat front velocity. Recently [Poëtte and Valentin, J. Comp. Phys., 412, 109405 (2020)], a new implicit scheme based on the semi-analog scheme was presented and tested in several one-dimensional gray problems. In this scheme, the material energy of the cell is carried by material-particles, and the photons are produced only from existing material particles. As a result, the teleportation errors vanish, due to the infinite discrete spatial accuracy of the scheme. We examine the validity of the new scheme in two-dimensional problems, both in Cartesian and Cylindrical geometries. Additionally, we introduce an expansion of the new scheme for multi-frequency problems. We show that the ISMC scheme presents excellent results without teleportation errors in a large number of benchmarks, especially against the slow classic IMC convergence.
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