MOMCON: A spectral code for obtaining three-dimensional magnetohydrodynamic equilibria
MOMCON: A spectral code for obtaining three-dimensional magnetohydrodynamic equilibria
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MOMCON：用于获得三维磁流体动力学平衡的谱代码
DOI：
10.1016/0010-4655(86)90127-x
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发表时间：
1986
影响因子：
6.3
通讯作者：
D. Lee
中科院分区：
文献类型：
--
作者：
S. Hirshman;D. Lee
一个新的代码，MOMCON（谱矩代码与约束），描述了计算三维理想磁流体动力学（MHD）平衡在一个固定的环形域使用傅立叶展开的逆坐标（R，Z）表示嵌套的磁表面。用加速最速下降法求解了一组关于（R，Z）谱系数的非线性耦合常微分方程。引入流函数λ，改善了RandZ型Fourier级数的模收敛性质.在每个通量面上，通过求解与RandZ的≥ 2个谱系数相关的非线性约束方程，优化了R-Z谱的收敛速度。
A new code, MOMCON (spectral moments code with constraints), is described that computes three-dimensional ideal magnetohydrodynamic (MHD) equilibria in a fixed toroidal domain using a Fourier expansion for the inverse coordinates (R, Z) representing nested magnetic surfaces. A set of nonlinear coupled ordinary differential equations for the spectral coefficients of (R, Z) is solved using an accelerated steepest descent method. A stream function, λ, is introduced to improve the mode convergence properties of the Fourier series forRandZ. The convergence rate of theR - Zspectra is optimized on each flux surface by solving nonlinear constraint equations relating them≥ 2 spectral coefficients ofRandZ.