基于拉格朗日变分原理的转动平衡：面向多维恒星演化
Rotational equilibria by Lagrangian variational principle: toward multi-dimensional stellar evolutions
摘要：
我们已经开发了一种新的配方，以获得自引力，轴对称的配置在永久旋转。该公式是基于拉格朗日变分原理与三角网格。它不仅处理正压状态方程，而且处理斜压状态方程。我们比较了各种恒星的平衡，我们的新计划与Hachisu的自洽场计划的正压情况下，和藤泽的自洽场计划的斜压情况下。在这些旋转配置中包括那些具有壳状旋转的配置，这通常是在旋转恒星的演化计算中假设的。虽然辐射过程，对流和对流没有被考虑在这项研究中，我们考虑到这种方法的应用程序的旋转恒星的二维演化计算，拉格朗日公式是最适合的。
英文摘要：
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.
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