Helioseismic Modeling of Background Flows

Abstract We present a three-dimensional (3D) numerical solver of the linearized compressible Euler equations (Global Acoustic Linearized Euler), used to model acoustic oscillations throughout solar interior. The governing are solved in conservation form on fully global spherical mesh (0 ? ? 2 ? , 0 ? r R ? ) over background state generated by standard S. implement an efficient pseudospectral computational method calculate contribution material derivative dyad internal velocity perturbations, computing arbitrary 3D fields. This offers foundation for “forward-modeling” approach, using helioseismology techniques explore various regimes mass flows. demonstrate efficacy presented this paper reproducing observed power spectra, showing rotational splitting due differential rotation, and applying local measure travel times created simple single-cell meridional circulation.