In preparation for extending the JOREK nonlinear magnetohydrodynamics (MHD) code to stellarators, a hierarchy of stellarator-capable reduced and full MHD models has been derived and tested. The derivation was presented at the EFTC 2019 conference. Continuing this line of work, we have implemented the reduced MHD model (Nikulsin et al., Phys. Plasmas, vol. 26, 2019, 102109) as well as an alternative model which was newly derived using a different set of projection operators for obtaining the scalar momentum equations from the full MHD vector momentum equation. With the new operators, the reduced model matches the standard JOREK reduced models for tokamaks in the tokamak limit and conserves energy exactly, while momentum conservation is less accurate than in the original model whenever field-aligned flow is present.

在准备将JOREK非线性磁流体动力学（MHD）代码扩展到恒星器时，已经推导并测试了具有恒星器功能的简化MHD模型和完整MHD模型的层次结构。该推导在EFTC 2019大会上进行了介绍。继续这条线的工作，我们已经实现了降低MHD模型（Nikulsin等人，物理学，等离子体，卷。26，2019，102109），以及使用一组不同的投影算子新推导出的替代模型，用于从完整的MHD矢量动量方程中获取标量动量方程。使用新的算子，简化模型与标准的JOREK简化模型在托卡马克极限内的托卡马克相匹配，并精确地节约能源，而动量守恒的精度不及原始模型（只要存在场对准流）。