Rotational equilibria by Lagrangian variational principle: toward multi-dimensional stellar evolutions
Rotational equilibria by Lagrangian variational principle: toward multi-dimensional stellar evolutions
复制标题
拉格朗日变分原理的旋转平衡：走向多维恒星演化
DOI：
10.1093/mnras/stw2216
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
S.
中科院分区：
文献类型：
--
作者：
Yasutake;N.;Fujisawa;K. and Yamada;S.
我们已经开发了一个新的公式，以获得自引力，轴对称构型在永久旋转。该公式基于拉格朗日变分原理，采用三角网格。它不仅处理正压状态方程，也处理斜压状态方程。我们比较了用我们的新格式得到的各种恒星平衡与用Hachisu的自洽场格式得到的正压平衡和用Fujisawa的自洽场格式得到的斜压平衡。这些旋转构型中包括那些具有壳型旋转的构型，它们通常在旋转恒星的演化计算中被假设。虽然本研究没有考虑辐射过程、对流和经向流，但我们想到了将这种方法应用于旋转恒星的二维演化计算，其中拉格朗日公式是最适合的。
We have developed a new formulation to obtain self-gravitating, axisymmetric configurations in permanent rotation. The formulation is based on the Lagrangian variational principle with a triangulated mesh. It treats not only barotropic but also baroclinic equations of state. We compare the various stellar equilibria obtained by our new scheme with those by Hachisu's self-consistent field scheme for the barotropic case, and those by Fujisawa's self-consistent field scheme for the baroclinic case. Included in these rotational configurations are those with shellular-type rotations, which are commonly assumed in the evolution calculation of rotating stars. Although radiation processes, convections and meridional flows have not been taken into account in this study, we have in mind the application of this method to the two-dimensional evolution calculations of rotating stars, for which the Lagrangian formulation is best suited.