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arXiv 1201.2222astro-ph.IM
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基于短特征的Athena辐射传递求解器

A Radiation Transfer Solver for Athena using Short Characteristics

Shane W. Davis, James M. Stone, Yan-Fei Jiang

摘要:

我们描述了一个模块的雅典娜磁流体动力学(MHD)代码,解决了时间无关,多频辐射转移(RT)方程的多维笛卡尔模拟域,包括散射和非LTE的影响。该模块基于为模拟恒星大气而开发的著名且经过充分测试的算法,包括用于求解RT方程的短特征方法,用于处理散射和非LTE效应的加速Lambda迭代,以及通过区域分解的并行化。该模块有几个用途:它可用于生成光谱和图像,计算全辐射MHD模拟的可变爱丁顿张量(VET),以及计算辐射压力与气体压力相比较小的流动中MHD方程中的加热和冷却源项。对于后者的情况下,该模块与标准的MHD积分器使用运营商分裂,我们详细描述了这种方法。辐射压力主导流的VET方法的实现在配套文件中描述。我们提出的结果,从一套测试问题的RT求解器本身,和动力学问题,包括辐射加热和冷却。这些测试表明,辐射转移解是准确的,并确认算子分裂方法对于感兴趣的问题是稳定、收敛且有效的。我们证明,没有必要采取特设的假设有问题的准确性,以解决RT问题与MHD:计算成本为我们的通用模块简单(如LTE灰色)的问题可以媲美或小于一个单一的时间步长雅典娜的MHD积分,只有几倍更昂贵的比更一般的问题。(节录)

英文摘要:

We describe the implementation of a module for the Athena magnetohydrodynamics (MHD) code which solves the time-independent, multi-frequency radiative transfer (RT) equation on multidimensional Cartesian simulation domains, including scattering and non-LTE effects. The module is based on well-known and well-tested algorithms developed for modeling stellar atmospheres, including the method of short characteristics to solve the RT equation, accelerated Lambda iteration to handle scattering and non-LTE effects, and parallelization via domain decomposition. The module serves several purposes: it can be used to generate spectra and images, to compute a variable Eddington tensor (VET) for full radiation MHD simulations, and to calculate the heating and cooling source terms in the MHD equations in flows where radiation pressure is small compared with gas pressure. For the latter case, the module is combined with the standard MHD integrators using operator-splitting and we describe this approach in detail. Implementation of the VET method for radiation pressure dominated flows is described in a companion paper. We present results from a suite of test problems for both the RT solver itself, and for dynamical problems that include radiative heating and cooling. These tests demonstrate that the radiative transfer solution is accurate, and confirm that the operator split method is stable, convergent, and efficient for problems of interest. We demonstrate there is no need to adopt ad-hoc assumptions of questionable accuracy to solve RT problems in concert with MHD: the computational cost for our general-purpose module for simple (e.g. LTE grey) problems can be comparable to or less than a single timestep of Athena's MHD integrators, and only few times more expensive than that for more general problems. (Abridged)

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