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arXiv 1410.0959astro-ph.GAastro-ph.CO
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星系核合并中的大质量黑洞和气体动力学。I.数值实现

Massive black hole and gas dynamics in galaxy nuclei mergers. I. Numerical implementation

Alessandro Lupi, Francesco Haardt, Massimo Dotti

摘要:

已知在处理大质量粒子(例如,表示大质量黑洞(MBH))时,数值效应困扰自适应网格细化(AMR)代码。在不断发展的背景下,它们可能会经历强烈的虚假扰动,然后遵循非物理轨道。我们通过数值模拟的方法研究了一对MBH的动力学演化的快速和激烈演变的气体和恒星的背景下,以下的星系大合并。我们证实,虚假的数值效应改变了AMR模拟中的MBH轨道,并表明数值问题最终是由于在模拟过程中的空间分辨率下降,大大降低了引力计算的准确性。因此,我们提出了一个新的细化标准,适合大质量粒子,能够解决在一个快速和精确的方式为他们的轨道在高度动态的背景。我们设计的新的细化标准强制每个大质量粒子周围的区域保持在允许的最大分辨率,独立于局部气体密度。这样的最大分辨率区域然后沿着它们的轨道跟随MBH,并且有效地避免了由分辨率变化引起的所有虚假效应。我们的套件高分辨率,自适应网格细化流体动力学模拟,包括不同的处方的次网格气体物理,表明新的细化实施的优点是不改变的物理演变的MBH,占所有的非平凡的物理过程发生在暴力的动力学场景,如星系大合并的最后阶段。

英文摘要:

Numerical effects are known to plague adaptive mesh refinement (AMR) codes when treating massive particles, e.g. representing massive black holes (MBHs). In an evolving background, they can experience strong, spurious perturbations and then follow unphysical orbits. We study by means of numerical simulations the dynamical evolution of a pair MBHs in the rapidly and violently evolving gaseous and stellar background that follows a galaxy major merger. We confirm that spurious numerical effects alter the MBH orbits in AMR simulations, and show that numerical issues are ultimately due to a drop in the spatial resolution during the simulation, drastically reducing the accuracy in the gravitational force computation. We therefore propose a new refinement criterion suited for massive particles, able to solve in a fast and precise way for their orbits in highly dynamical backgrounds. The new refinement criterion we designed enforces the region around each massive particle to remain at the maximum resolution allowed, independently upon the local gas density. Such maximally-resolved regions then follow the MBHs along their orbits, and effectively avoids all spurious effects caused by resolution changes. Our suite of high resolution, adaptive mesh-refinement hydrodynamic simulations, including different prescriptions for the sub-grid gas physics, shows that the new refinement implementation has the advantage of not altering the physical evolution of the MBHs, accounting for all the non trivial physical processes taking place in violent dynamical scenarios, such as the final stages of a galaxy major merger.

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