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arXiv 1012.1017astro-ph.CO
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宇宙学流体动力学模拟中精确辐射转移的一种新方法

A novel approach for accurate radiative transfer in cosmological hydrodynamic simulations

Margarita Petkova, Volker Springel

摘要:

我们提出了一种基于显式光子守恒平流方案的辐射转移的数值实现,其中通过强度场的二阶重建来计算结构化或非结构化网格的单元界面上的辐射通量。该方法采用了直接离散的辐射转移方程的玻尔兹曼形式与可调角分辨率,在原则上同样适用于光学薄和光学厚制度。在我们最一般的配方的计划,当地的辐射场被分解成一个线性和方向箱的等立体角,镶嵌的单位球。这些“锥场”中的每一个都是独立传输的,其强度恒定,作为锥内方向的函数。光子以光速传播(或者可选地使用降低的光速近似以允许更大的时间步长),产生辐射转移方程的完全时间相关的解,该解可以自然地处理任意数量的源以及散射。该方法投射锐利的阴影,受到所采用的角分辨率的限制。如果点源的数量很小,散射是不重要的,我们的实现可以交替地对待每个源完全在角空间,产生阴影,其清晰度只受网格分辨率的限制。第三种混合替代方案是只明确地处理少数局部最亮的点源,其余的辐射强度遵循辐射扩散近似。我们已经实现了移动网格代码{ \small AREPO}中的方法,在那里它是耦合到流体动力学的运营商分裂的方法,子循环的辐射转移交替与流体动力学的演变步骤。

英文摘要:

We present a numerical implementation of radiative transfer based on an explicitly photon-conserving advection scheme, where radiative fluxes over the cell interfaces of a structured or unstructured mesh are calculated with a second-order reconstruction of the intensity field. The approach employs a direct discretisation of the radiative transfer equation in Boltzmann form with adjustable angular resolution that in principle works equally well in the optically thin and optically thick regimes. In our most general formulation of the scheme, the local radiation field is decomposed into a linear sum of directional bins of equal solid-angle, tessellating the unit sphere. Each of these "cone-fields" is transported independently, with constant intensity as a function of direction within the cone. Photons propagate at the speed of light (or optionally using a reduced speed of light approximation to allow larger timesteps), yielding a fully time-dependent solution of the radiative transfer equation that can naturally cope with an arbitrary number of sources, as well as with scattering. The method casts sharp shadows, subject to the limitations induced by the adopted angular resolution. If the number of point sources is small and scattering is unimportant, our implementation can alternatively treat each source exactly in angular space, producing shadows whose sharpness is only limited by the grid resolution. A third hybrid alternative is to treat only a small number of the locally most luminous point sources explicitly, with the rest of the radiation intensity followed in a radiative diffusion approximation. We have implemented the method in the moving-mesh code {\small AREPO}, where it is coupled to the hydrodynamics in an operator splitting approach that subcycles the radiative transfer alternatingly with the hydrodynamical evolution steps.

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