Nonlinear interactions of tearing modes in the presence of shear flow
The interaction of two near marginal tearing modes in the presence of shear flow is studied. To find the time asymptotic states, the resistive magnetohydrodynamic (MHD) equations are reduced to four amplitude equations, using center manifold reduction. These amplitude equations are subject to the constraints due to the symmetries of the physical problem. For the case without flow, the model which we adopted has translation and reflection symmetries. Presence of flow breaks the reflection symmetry, while the translation symmetry is preserved, and hence flow allows the coefficients of the amplitude equations to be complex. Bifurcation analysis is employed to find various possible time asymptotic states. In particular, the oscillating magnetic island states discovered numerically by Person and Bondeson are discussed. It is found that the flow introduced parameters (imaginary part of the coefficients) play an important role in driving these oscillating islands. 28 refs., 2 figs.
- Research Organization:
- Texas Univ., Austin, TX (United States)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG05-80ET53088
- OSTI ID:
- 5370546
- Report Number(s):
- DOE/ET/53088-511; IFSR-511; ON: DE91018420
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
TEARING INSTABILITY
SHEAR
FIELD EQUATIONS
MAGNETIC FLUX
MAGNETIC ISLANDS
MHD EQUILIBRIUM
NONLINEAR PROBLEMS
EQUATIONS
EQUILIBRIUM
INSTABILITY
MAGNETIC FIELD CONFIGURATIONS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
700107* - Fusion Energy- Plasma Research- Instabilities
700103 - Fusion Energy- Plasma Research- Kinetics