Dataset from: An intuitive form of the energy functional for resistive plasma perturbations

The energy functional of ideal magnetohydrodynamics (MHD) is extended to the regime of finite resistivity and transformed to an intuitive form, which separates pressure-gradient, current-density drive and stabilizing phenomena, analogously to the ideal version of the functional derived by Johnson and Greene. The resulting resistive energy functional is not in the form of a solvable eigenvalue problem but is intended to analyze the energetic composition of eigenfunctions which were calculated in advance by solving the MHD equations. The new resistive energy functional provides information on the different energetic drives and stabilizing phenomena of an eigenfunction. The new energy functional has been implemented in the CASTOR3D code in general 3D curvilinear coordinates and successfully validated across three different coordinate systems for a numerical test case.

将理想磁流体力学（magnetohydrodynamics, MHD）的能量泛函拓展至有限电阻率工况，并转化为直观形式，该形式可分离压强梯度项、电流密度驱动项与稳定效应，类比于约翰逊与格林（Johnson and Greene）推导的理想版本能量泛函。所得电阻性能量泛函并非可直接求解的本征值问题形式，而是用于分析此前通过求解磁流体力学方程得到的本征函数的能量构成。该新型电阻性能量泛函可提供本征函数的各类能量驱动项与稳定效应的相关信息。此新型能量泛函已在通用三维曲线坐标系下的CASTOR3D代码中实现，并针对一个数值测试算例在三种不同坐标系中完成了有效验证。