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首页> 外文期刊>The Astrophysical journal >THE DYNAMICS OF TWO-DIMENSIONAL LOCAL AND FINITE PERTURBATIONS IN ENVELOPES OF ROTATING WHITE DWARFS. Ⅰ.
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THE DYNAMICS OF TWO-DIMENSIONAL LOCAL AND FINITE PERTURBATIONS IN ENVELOPES OF ROTATING WHITE DWARFS. Ⅰ.

机译：旋转白色小波包络中二维局部和有限扰动的动力学。 Ⅰ。

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摘要

This is a first paper in a series in which we investigate the behavior of two-dimensional local and finite perturbations in envelopes of stars. In this paper we explore the dynamics of local and finite perturbations in an accreted envelope placed on a white dwarf. Viscosity and rotation are included in a full two-dimensional Navier-Stokes system of equations. A time-dependent Chebyshev method of collocation has been developed and implemented for solving numerically the problem of the propagation of perturbation in the envelope of a white dwarf. Our most important result is that a local perturbation develops in two basic phases: In phase A, which lasts about one dynamics timescale, the perturbation remains local. In phase B the perturbation expands all over the star by means of pressure waves. Thus, a local perturbation becomes a global one after about one dynamic timescale. The present calculations were carried out with a Reynolds number of 10~3 and 10~5 and we find that for these Reynolds numbers the viscosity (shear or turbulent) has a minor effect on the development of the local perturbation into a global one.
机译：这是该系列的第一篇论文，我们研究了恒星包络中的二维局部和有限扰动的行为。在本文中，我们探索了放置在白矮星上的积壳中的局部和有限扰动的动力学。粘度和旋转包括在完整的二维Navier-Stokes方程系统中。已经开发并实现了一种与时间有关的Chebyshev搭配方法，用于数字地解决白矮星包络中摄动传播的问题。我们最重要的结果是在两个基本阶段中产生了局部扰动：在持续大约一个动力学时间尺度的阶段A中，扰动仍然是局部的。在阶段B中，扰动通过压力波在整个恒星上扩展。因此，在大约一个动态时标之后，局部扰动变为全局扰动。目前的计算是在雷诺数为10〜3和10〜5的情况下进行的，我们发现对于这些雷诺数，粘度（剪切或湍流）对局部扰动发展为整体扰动的影响较小。

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