IDEAL MHD EQUATIONS IN TERMS OF COMPRESSIVE ELSASSER VARIABLES

IDEAL MHD EQUATIONS IN TERMS OF COMPRESSIVE ELSASSER VARIABLES
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DOI:
10.1029/ja092ia07p07363
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发表时间:
1987-07-01
影响因子:
2.8
通讯作者:
MANGENEY, A
MANGENEY, A
中科院分区:
地球科学2区
文献类型:
--
作者:
MARSCH, E;MANGENEY, A

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借助于所谓的Elsässer变量,如果适用于可压缩等离子体的情况,理想磁流体力学方程可以改写为新的形式。这似乎特别适合于描述压缩MHD湍流的情况。在推导出基本运动方程之后,能量和交叉螺旋度的守恒方程被重新表述为Elsässer变量。阐明了与等离子体的可压缩性相关的交叉螺旋度的汇和源。一个标准的正常模式分析,进行Elsässer变量,强调他们在处理流体动力波的有用性。在结论中,一些可能的未来,更复杂的应用概述。
By the help of the so‐called Elsässer variables, if adopted to the situation of a compressible plasma, the equations of ideal magnetohydrodynamics can be rewritten in a new form. This appears to be particularly suitable to describe the situation of compressive MHD turbulence. After having derived the basic equations of motion, the conservation equations for energy and cross‐helicity are rephrased in terms of Elsässer variables. The sinks and sources of cross‐helicity associated with the compressibility of the plasma are elucidated. A standard normal mode analysis, performed in terms of Elsässer variables, emphasizes their usefulness in treating hydrodynamic waves. In the conclusions some possible future, more sophisticated applications are outlined.