This paper presents a new numerical approach to the simulation of plasma equilibrium evolution in tokamaks. It is based on an unusual coupling formulation of current diffusion and axi-symmetric equilibrium equations that does not require the use of flux-surface averages and allows for fast Newton-type iterations schemes. A detailed derivation of the coupled system of non-linear equations and its discretization is provided. Numerical examples, based on an implementation in the free-boundary equilibrium code FEEQS, highlight feasibility and applicability.

中文翻译：

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托卡马克等离子体中电流扩散和力平衡弱公式的伽辽金方法

本文提出了一种模拟托卡马克等离子体平衡演化的新数值方法。它基于电流扩散和轴对称平衡方程的不寻常耦合公式，不需要使用通量表面平均值并允许快速牛顿型迭代方案。提供了非线性方程耦合系统的详细推导及其离散化。基于自由边界均衡代码 FEEQS 中的实现的数值示例突出了可行性和适用性。