类造父变星的多维真实感模拟--II：造父变星模型的分析
Multidimensional realistic modelling of Cepheid-like variables-II: Analysis of a Cepheid model
摘要：
非局部的，随时间变化的对流模型已被用来解释的位置，在造父变星的双模式脉动的HR图，以及红边的不稳定带的存在和位置。这些属性对模型参数高度敏感。我们使用2D辐射流体动力学模拟与现实微观物理和灰色辐射传输模型的短周期造父变星。模拟结果表明，对流区的强度变化显着的脉动周期，并表现出相对于半径的变化相移。我们评估的对流通量和最常见的对流模型预测的功积分。结果表明，在一个脉动周期内，模型参数$α_{\rm c}$必须以超过2的因子变化，以匹配从模拟中获得的对流通量。为了使在He II对流区和下面的过冲区上积分的对流通量一致，该参数必须以高达$\sim 7.5$（Kuhfürklchen）的因子变化。然后，我们提出的对流和过冲区的径向对称和波动量的能量学的结果。通过静态、一维甚至简单的时间依赖模型来成功地对这种情况进行建模似乎极具挑战性。我们的结论是，需要显着的改进，使预测的基础上更强大的一维模型，并提高从他们得出的对流脉动耦合的结论的可靠性。多维模拟可以为发展对流描述提供指导，然后应用于传统的一维建模。
英文摘要：
Non-local, time-dependent convection models have been used to explain the location of double-mode pulsations in Cepheids in the HR diagram as well as the existence and location of the red edge of the instability strip. These properties are highly sensitive to model parameters. We use 2D radiation hydrodynamical simulations with realistic microphysics and grey radiative-transfer to model a short period Cepheid. The simulations show that the strength of the convection zone varies significantly over the pulsation period and exhibits a phase shift relative to the variations in radius. We evaluate the convective flux and the work integral as predicted by the most common convection models. It turns out that over one pulsation cycle the model parameter $α_{\rm c}$, has to be varied by up to a factor of beyond 2 to match the convective flux obtained from the simulations. To bring convective fluxes integrated over the He II convection zone and the overshoot zone below into agreement, this parameter has to be varied by a factor of up to $\sim 7.5$ (Kuhfuß). We then present results on the energetics of the convection and overshoot zone by radially symmetric and fluctuating quantities. To successfully model this scenario by a static, one dimensional or even by a simple time-dependent model appears extremely challenging. We conclude that significant improvements are needed to make predictions based on 1D models more robust and to improve the reliability of conclusions on the convection-pulsation coupling drawn from them. Multidimensional simulations can provide guidelines for developing descriptions of convection then applied in traditional 1D modelling.
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