包含任意磁场的二维恒星演化代码。II。Turbulence和旋转的精度改进和包含
Two-Dimensional Stellar Evolution Code Including Arbitrary Magnetic Fields. II. Precision Improvement and Inclusion of Turbulence and Rotation
摘要：
在本系列的第二篇论文中，我们追求两个目标。首先，为了使代码对小的影响更敏感，我们删除了论文I中的许多近似。其次，我们在二维框架中包括湍流和旋转。恒星的平衡是通过一组五个微分方程，引入一个新的因变量，即扰动的径向重力，这是发现当非径向效应被认为是在解决方案的泊松方程;以下的第一篇论文的计划，我们写的方程在这样一种方式，可以很容易地解开的二维效应。本系列中介绍的关键概念是等势面。我们使用潜在的因果关系，开发一个递归关系，计算等势面函数均匀旋转，微分旋转，旋转类环形磁场和湍流。基于等势面计算，我们还开发了一个更精确的程序来数值求解二维恒星结构和演化方程。我们已经表明，与此配方，我们可以通过适当地选择收敛标准，达到所需的观测精度。几个例子表明，该方法是行之有效的。由于我们感兴趣的是模拟发电机型场对太阳的详细包络结构和全局性质的影响，因此代码已针对短时间尺度现象（低至1年）进行了优化。到目前为止，代码的时间依赖性已经专门针对这些问题进行了测试。
英文摘要：
In the second paper of this series we pursue two objectives. First, in order to make the code more sensitive to small effects, we remove many approximations made in Paper I. Second, we include turbulence and rotation in the two-dimensional framework. The stellar equilibrium is described by means of a set of five differential equations, with the introduction of a new dependent variable, namely the perturbation to the radial gravity, that is found when the non-radial effects are considered in the solution of the Poisson equation; following the scheme of the first paper, we write the equations in such a way that the two-dimensional effects can be easily disentangled. The key concept introduced in this series is the equipotential surface. We use the underlying cause-effect relation to develop a recurrence relation to calculate the equipotential surface functions for uniform rotation, differential rotation, rotation-like toroidal magnetic fields and turbulence. We also develop a more precise code to numerically solve the two-dimensional stellar structure and evolution equations based on the equipotential surface calculations. We have shown that with this formulation we can achieve the precision required by observations by appropriately selecting the convergence criterion. Several examples are presented to show that the method works well. Since we are interested in modeling the effects of a dynamo-type field on the detailed envelope structure and global properties of the Sun, the code has been optimized for short timescales phenomena (down to 1 yr). The time dependence of the code has so far been tested exclusively to address such problems.
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。
