A spectral-element-based formulation of incompressible MHD is presented in the context of the open-source fluid-thermal code, Nek5000/RS. The formulation supports magnetic fields in a solid domain that surrounds the fluid domain. Several steady-state and time-transient model problems are presented as part of the code verification process. Nek5000/RS is designed for large-scale turbulence simulations, which will be the next step with this new MHD capability.

翻译：本文在开源流体热力学代码Nek5000/RS框架下，提出了一种基于谱元法的不可压缩磁流体动力学（MHD）数值格式。该格式支持流体域外围固体区域中的磁场计算。作为代码验证流程的组成部分，文中展示了若干稳态与瞬态模型问题的求解结果。Nek5000/RS专为大规模湍流模拟设计，该新型MHD功能将在此方向上展开后续研究。