FORTVSH：用于矢量球谐函数计算的Fortran模块
FORTVSH: A Fortran Library For Vector Spherical Harmonics Computations
浏览论文内容
中文总结 AI 辅助
FORTVSH是一款用于矢量球谐函数计算的Fortran模块，可提供相关数值例程，支撑地球物理与天体物理等领域的高性能计算应用。
中文摘要 AI 辅助
矢量球谐函数（VSH）是数学物理中曲线坐标系下任意矢量场表示的关键要素，高效的VSH计算对利用谱分析的高性能计算应用至关重要，包括地球物理和天体物理中的磁流体动力学（MHD）模拟。开源FORTVSH包提供了计算各类VSH形式及相关数学函数的数值例程库，本文确立了其理论基础，满足高效VSH求解器的计算需求，并全面概述了FORTVSH例程。
英文摘要
The vector spherical harmonics (VSH) are crucial ingredients for representation of arbitrary vector fields in curvilinear coordinate systems throughout mathematical physics. Performant, efficient computations of the VSH are essential to high-performance computing applications that utilize spectral analysis, including magnetohydrodynamics (MHD) simulations for geophysics and astrophysics. The free open-source FORTVSH library provides a catalog of numerical routines for evaluating various VSH forms and related mathematical functions. This manuscript establishes the theoretical basis, addresses the computational need for efficient VSH solvers, and presents a comprehensive overview of the FORTVSH routines.
