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首页> 美国政府科技报告 >Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-Spline Finite Element Method.
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Numerical Solutions of Magnetohydrodynamic Stability of Axisymmetric Toroidal Plasmas Using Cubic B-Spline Finite Element Method.

机译：基于三次B样条有限元法的轴对称环面等离子体磁流体动力学稳定性数值解。

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A nonvariational ideal MHD stability code (NOVA) has been developed. In a general flux coordinate (/psi/, theta, /zeta/) system with an arbitrary Jacobian, the NOVA code employs Fourier expansions in the generalized poloidal angle theta and generalized toroidal angle /zeta/ directions, and cubic-B spline finite elements in the radial /psi/ direction. Extensive comparisons with these variational ideal MHD codes show that the NOVA code converges faster and gives more accurate results. An extended version of NOVA is developed to integrate non-Hermitian eigenmode equations due to energetic particles. The set of non-Hermitian integro-differential eigenmode equations is numerically solved by the NOVA-K code. We have studied the problems of the stabilization of ideal MHD internal kink modes by hot particle pressure and the excitation of ''fishbone'' internal kink modes by resonating with the energetic particle magnetic drift frequency. Comparisons with analytical solutions show that the values of the critical beta /sub h/ from the analytical theory can be an order of magnitude different from those computed by the NOVA-K code. 24 refs., 11 figs., 1 tab. (ERA citation 14:023812)

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