SPECTRE：适用于任意拓扑三维平衡态的鲁棒求解器
SPECTRE: A robust solver for 3D equilibria with arbitrary topology
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中文总结 AI 辅助
SPECTRE是一款基于MRxMHD模型的新型三维平衡态求解器，改进自SPEC，通过新力表述等优化，经多类基准案例验证，可准确计算含磁岛等的复杂拓扑三维平衡态。
中文摘要 AI 辅助
我们提出了SPECTRE，这是一款基于多区域松弛磁流体力学（Multi-Region relaxed MHD，MRxMHD）模型的新型平衡态代码，用于鲁棒计算具有一般磁拓扑的三维平衡态，允许存在磁通量面、磁岛和混沌。该代码基于先前的MRxMHD求解器SPEC构建，但由于采用了新的力的表述、基于稳定信赖域的最小二乘最小化方案以及若干附加功能，其性能显著提升。通过将其应用于具有已知平衡态解的构型进行验证，包括真空和有限β（等离子体热压与磁压之比）情形，以及固定边界和自由边界模式，具体涵盖固定边界模式下准轴对称（QA）装置的真空平衡态、自由边界模式下W7-X的真空平衡态，以及经典仿星器的有限β自由边界案例。最后，将该求解器应用于现代优化的有限β准准对称（QI）构型，成功计算出具有芯部磁岛的强塑形平衡态，其结果与HINT计算一致。
英文摘要
We present SPECTRE, a new equilibrium code based on the Multi-Region relaxed MHD model for robustly calculating 3D equilibria with general magnetic topology, allowing for flux surfaces, magnetic islands, and chaos. The code builds on a previous MRxMHD solver, SPEC, but performs significantly better thanks to a new formulation of force, the use of a stable trust-region-based least squares minimization scheme, as well as several additional features. SPECTRE is verified through application to configurations with known equilibrium solutions, in vacuum and with finite beta, both in the fixed boundary and the free boundary mode. Notably, these include vacuum equilibria of a quasi-axisymmetric (QA) device in fixed-boundary mode, and of W7-X in the free-boundary mode, along with a classical stellarator finite-beta free-boundary case. Finally, the solver is applied to a modern optimized finite-beta quasi-isodynamic (QI) configuration, where we demonstrate calculation of a strongly-shaped equilibrium with a core island which is in agreement with a HINT calculation.
