We present a three-dimensional (3D) numerical solver of the linearized compressible Euler equations (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 ≤ ϕ ≤ 2π, 0 ≤ θ ≤ π, 0 ≤ r ≤ R _⊙) over a background state generated by the standard solar model S. We implement an efficient pseudospectral 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.

我们介绍了线性可压缩的Euler方程（全局声学线性Euler）的三维（3D）数值求解器，用于对整个太阳能内部的声学振动进行建模。控制方程求解在保护形式在完全全球球形目（0≤ φ ≤2 π，0≤ θ ≤ π，0≤ [R ≤ [R _⊙）在由标准太阳模型S生成的背景状态下进行。我们实现了一种有效的伪谱计算方法，以计算可压缩材料导数对内部速度扰动的贡献，计算任意3D背景速度场的振荡。该模型为“前向建模”方法提供了基础，该方法使用螺旋地震学技术探索内部质量流的各种状态。我们通过再现观察到的太阳能光谱，显示由于旋转差而引起的旋转分裂以及应用局部弹性地震技术来测量由单细胞子午环流的简单模型创建的旅行时间，来证明本文提出的数值方法的有效性。