A Regularized Approach for Solving Magnetic Differential Equations and a Revised Iterative Equilibrium Algorithm

S.R. Hudson

关键词: ALGORITHMS;    DIFFERENTIAL EQUATIONS;    DIFFUSION;    MAGNETOHYDRODYNAMICS;    MATHEMATICAL SOLUTIONS Chaos;    Computational Physics Magnetohydrodynamics (MHD);   

DOI  :  10.2172/990749
RP-ID  :  PPPL-4567
PID  :  OSTI ID: 990749
Others  :  TRN: US1007451

学科分类：原子、分子光学和等离子物理

美国|英语

来源: SciTech Connect

【 摘 要 】

A method for approximately solving magnetic differential equations is described. The approach is to include a small diffusion term to the equation, which regularizes the linear operator to be inverted. The extra term allows a "source-correction" term to be defned, which is generally required in order to satisfy the solvability conditions. The approach is described in the context of computing the pressure and parallel currents in the iterative approach for computing magnetohydrodynamic equilibria. __________________________________________________