arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2107.13993astro-ph.SR
收藏

星周环境中近似通量限制扩散辐射转移的新边界条件:球对称包层的试验研究

New boundary conditions for the approximate flux-limited diffusion radiative transfer in circumstellar environments: test case study for spherically symmetric envelopes

Jérémy Perdigon, Gilles Niccolini, Marianne Faurobert

摘要:

为了约束描述星周环境的模型,需要求解存在吸收和散射的辐射转移方程以及辐射平衡方程。然而,解决这个问题需要大量的CPU时间,这使得使用自动最小化程序来解决这些环境具有挑战性。近似方法的使用是主要的兴趣。一种有前途的候选方法是通量限制扩散(FLD),它将辐射转移问题转化为非线性扩散方程。该方法的准确性的一个重要方面在于实施适当的边界条件(BC)。我们提出了新的BC的FLD近似在拱星环境中,我们在这里适用于球对称信封。在内边界处,进入的通量(来自恒星和包层本身)可以用FLD形式表示,并为我们提供了一个足够的BC。在自由外边界,我们使用FLD形式主义来约束平均辐射强度与出射通量的比值。在这两种情况下,我们推导出非线性混合BC的表面值的平均比强度和其梯度。我们实现了这些条件,并与以前的基准和蒙特卡罗辐射转移代码的结果进行了比较。与以前提出的在其他情况下,来自BC的结果进行比较。对于所有测试情况,温度分布与基准结果的平均相对误差小于2%,相应的光谱能量分布或出射通量的平均相对误差小于6%。我们指出,FLD方法与新的外BC一起,也使我们能够得到一个近似的新兴通量。

英文摘要:

In order to constrain the models describing circumstellar environments, it is necessary to solve the radiative transfer equation in the presence of absorption and scattering, coupled with the equation for radiative equilibrium. However, solving this problem requires much CPU time, which makes the use of automatic minimisation procedures to characterise these environments challenging. The use of approximate methods is then of primary interest. One promising candidate method is the flux-limited diffusion (FLD), which recasts the radiative transfer problem into a non-linear diffusion equation. One important aspect for the accuracy of the method lies in the implementation of appropriate boundary conditions (BCs). We present new BCs for the FLD approximation in circumstellar environments that we apply here to spherically symmetric envelopes. At the inner boundary, the entering flux (coming from the star and from the envelope itself) may be written in the FLD formalism and provides us with an adequate BC. At the free outer boundary, we used the FLD formalism to constrain the ratio of the mean radiation intensity over the emerging flux. In both cases we derived non-linear mixed BCs relating the surface values of the mean specific intensity and its gradient. We implemented these conditions and compared the results with previous benchmarks and the results of a Monte Carlo radiative transfer code. A comparison with results derived from BCs that were previously proposed in other contexts is presented as well. For all the tested cases, the average relative difference with the benchmark results is below 2\% for the temperature profile and below 6\% for the corresponding spectral energy distribution or the emerging flux. We point out that the FLD method together with the new outer BC also allows us to derive an approximation for the emerging flux.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑