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arXiv 1001.0487astro-ph.SR
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考虑对流的卡帕机制的数值模拟

Numerical simulations of the kappa-mechanism with convection

T. Gastine, B. Dintrans

摘要:

对流和脉动之间的强耦合被认为在经典造父变星不稳定带红边附近的不稳定模式消失中起着重要作用。由于时变对流的平均场模型依赖于弱约束参数,我们通过对kappa机制的二维直接数值模拟(DNS)来解决这个问题。使用线性稳定性分析,我们首先确定的物理条件有利于卡帕机制发生在一个纯辐射层。然后,通过相应的DNS确认了不稳定带和不稳定模式的非线性饱和。接下来,我们提出了新的模拟与对流,对流区和驱动区重叠。对流运动和声学模式之间的耦合,然后通过使用投影到一个声学子空间。

英文摘要:

A strong coupling between convection and pulsations is known to play a major role in the disappearance of unstable modes close to the red edge of the classical Cepheid instability strip. As mean-field models of time-dependent convection rely on weakly-constrained parameters, we tackle this problem by the means of 2-D Direct Numerical Simulations (DNS) of kappa-mechanism with convection. Using a linear stability analysis, we first determine the physical conditions favourable to the kappa-mechanism to occur inside a purely-radiative layer. Both the instability strips and the nonlinear saturation of unstable modes are then confirmed by the corresponding DNS. We next present the new simulations with convection, where a convective zone and the driving region overlap. The coupling between the convective motions and acoustic modes is then addressed by using projections onto an acoustic subspace.

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