辐射冷却集团的自收敛
Self-Convergence of Radiatively Cooling Clumps
摘要：
数值收敛的研究表明，绝热块的演变是很好地捕获约100细胞每丛半径。然而，由于去除了热能，辐射冷却的存在对该问题施加了限制。包括辐射冷却的数值研究通常采用每团半径100- 200个单元的分辨率。在本文中，我们提出了一个收敛研究的结果，辐射冷却块进行了广泛的分辨率范围内，从12到1,536细胞每丛半径，采用自适应网格细化（AMR）在2D轴对称几何形状（“2.5D”）。我们还提供了一个完全的3D模拟，每丛半径192个细胞，这支持我们的2.5D结果。我们没有发现明显的自收敛在每丛半径100细胞的小规模的差异，由于越来越多的解决“冷却长度”具有全球性的影响。因此，我们的结论是，自收敛是一个不充分的标准，适用于自己解决的问题时，辐射冷却冲击块模拟足够的分辨率。我们建议采用替代标准来支持足够分辨率的声明，例如证明激波后面的冷却层具有足够的分辨率。我们讨论了AMR码的相关细化准则。
英文摘要：
Numeric convergence studies demonstrate that the evolution of an adiabatic clump is well-captured by roughly 100 cells per clump radius. The presence of radiative cooling, however, imposes limits on the problem due to the removal of thermal energy. Numerical studies which include radiative cooling typically adopt the 100--200 cells per clump radius resolution. In this paper we present the results of a convergence study for radiatively cooling clumps undertaken over a broad range of resolutions, from 12 to 1,536 cells per clump radius, employing adaptive mesh refinement (AMR) in a 2D axisymmetric geometry ("2.5D"). We also provide a fully 3D simulation, at 192 cells per clump radius, which supports our 2.5D results. We find no appreciable self-convergence at ~100 cells per clump radius as small-scale differences owing to increasingly resolving the "cooling length" have global effects. We therefore conclude that self-convergence is an insufficient criterion to apply on its own when addressing the question of sufficient resolution for radiatively cooled shocked clump simulations. We suggest the adoption of alternate criteria to support a statement of sufficient resolution, such as the demonstration of adequate resolution of the cooling layers behind shocks. We discuss an associated refinement criteria for AMR codes.
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