托卡马克中实时等离子体平衡重建

Minimization of an energy error functional to solve a Cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a Tokamak

A numerical method for the computation of the magnetic flux in the vacuum surrounding the plasma in a Tokamak is investigated. It is based on the formulation of a Cauchy problem which is solved through the minimization of an energy error functional. Several numerical experiments are conducted which show the efficiency of the method.

托卡马克中的实时平衡重建

Real-Time Equilibrium Reconstruction in a Tokamak

本文通过有限元方法、非线性不动点算法和最小二乘优化，实时重建托卡马克等离子体电流密度及其平衡，解决了Grad-Shafranov方程中非线性源的识别问题。

A mimetic finite difference based quasi-static magnetohydrodynamic solver for force-free plasmas in tokamak disruptions

Force-free plasmas are a good approximation where the plasma pressure is tiny compared with the magnetic pressure, which is the case during the cold vertical displacement event (VDE) of a major disruption in a tokamak. On time scales long compared with the transit time of Alfven waves, the evolution of a force-free plasma is most efficiently described by the quasi-static magnetohydrodynamic (MHD) model, which ignores the plasma inertia. Here we consider a regularized quasi-static MHD model for force-free plasmas in tokamak disruptions and propose a mimetic finite difference (MFD) algorithm. Th…

托卡马克中壁-等离子体相互作用的双曲系统惩罚方法

Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak

针对托卡马克中限制器等障碍物，研究了一种非线性双曲系统的惩罚方法，通过切断动量输运项来模拟等离子体输运，并提出了新惩罚方法以避免狄拉克测度问题，数值测试显示最优收敛率且无虚假边界层。

用于托卡马克边缘等离子体输运的超几何系统的最优惩罚方法

An optimal penalty method for a hyperbolic system modeling the edge plasma transport in a tokamak

本文提出一种新的惩罚方法，用于解决托卡马克边缘等离子体输运中的超几何系统问题，通过渐近展开和数值测试实现了无伪边界层的最优收敛率。

托卡马克等离子体平衡重构与电流密度剖面实时识别

Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time

针对托卡马克等离子体平衡重构的自由边界问题，提出基于不动点算法、有限元求解、降基方法和最小二乘优化的实时非线性源识别方法，并通过Equinox软件验证了平均电流密度和安全因子剖面的鲁棒识别。