论文标题
背景流的热震建模
Helioseismic Modeling of Background Flows
论文作者
论文摘要
我们提出了线性化的可压缩欧拉方程（大风 - 全局声学线性欧拉）的3维（3D）数值求解器，用于在整个太阳能内部建模声学振荡。管理方程式以保护形式在完全全局的球形网状网格上解决（$ 0 \ le ϕ \le2π$，$ 0 \leθ\leπ$，$ 0 \ le r \ le r \ le r _ {\ odot} $）在由标准的solar模型中生成的背景状态。对于内部速度扰动，计算任意3D背景速度字段的振荡。该模型使用热疗学技术探索内部质量流动的各种制度，为“前向模型”方法奠定了基础。我们通过再现观察到的太阳能谱，显示出由于差异旋转而显示的旋转分裂，并应用局部的Helioseology技术来测量由单细胞子午线循环的简单模型创建的旅行时间，从而证明了本文中介绍的数值方法的疗效。
We present a 3-dimensional (3D) numerical solver of the linearized compressible Euler equations (GALE -- Global Acoustic Linearized Euler), used to model acoustic oscillations throughout the solar interior. The governing equations are solved in conservation form on a fully global spherical mesh ($0 \le ϕ\le 2π$, $0 \le θ\le π$, $0 \le r \le R_{\odot}$) over a background state generated by the standard Solar Model S. We implement an efficient pseudo-spectral computational method to calculate the contribution of the compressible material derivative dyad to internal velocity perturbations, computing oscillations over arbitrary 3D background velocity fields. This model offers a foundation for a "forward-modeling" approach, using helioseismology techniques to explore various regimes of internal mass flows. We demonstrate the efficacy of the numerical method presented in this paper by reproducing observed solar power spectra, showing rotational splitting due to differential rotation, and applying local helioseismology techniques to measure travel times created by a simple model of single-cell meridional circulation.
