MACH - a computer code for solution of the poloidal asymmetry eigenvalue problem in tokamaks

Abstract
Evaluation of the poloidal dependence of the plasma density involves solving the equation for momentum balance along the magnetic field. This is transformed into an eigenvalue equation of the Mathieu type with an extra damping term. The method presented here for determination of the appropriate eigenvalue is much faster than traditional matrix determinant methods.

Title of program: MACH
Catalogue Id: ACPY_v1_0

Nature of problem
The ions in a tokamak plasma gyrate around and stream along magnetic field lines that encircle the torus in both the poloidal (short- circumference) and toroidal (long circumference) directions. In the infinite aspect ratio limit, the geometry is cylindrical and the plasma ion density is poloidally symmetric, but at finite aspect ratios the symmetry is broken. Given a poloidal "Mach number" that is related to the plasma rotation velocity, the poloidal variation of the plasma density is determine ...

Versions of this program held in the CPC repository in Mendeley Data
ACPY_v1_0; MACH; 10.1016/0010-4655(94)90077-9

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
对等离子体密度极向依赖性的评估涉及沿磁场求解动量平衡方程。该方程转化为具有额外阻尼项的Mathieu型本征值方程。本文提出的确定适当本征值的方法比传统的矩阵行列式方法快得多。

程序标题：MACH
目录编号：ACPY_v1_0

问题性质
托卡马克等离子体中的离子围绕磁场线在极向（短周向）和环向（长周向）方向旋转并沿磁场线流动。在无限轴向比极限下，几何形状为圆柱形，等离子体离子密度在极向上呈对称分布，但在有限轴向比时，对称性被破坏。给定与等离子体旋转速度相关的极向“马赫数”，确定等离子体密度的极向变化...

此程序版本存放在Mendeley数据中CPC程序库
ACPY_v1_0; MACH; 10.1016/0010-4655(94)90077-9

此程序已从贝尔法斯特女王大学（1969-2019）持有的CPC程序库导入。