Back-averaging: An accelerated iterative method for simulating plasma diffusion. (English) Zbl 0638.76134
Summary: A fast accurate multi-stage numerical method, back-averaging, is developed, analyzed, and optimized. The technique is used to solve an alternating dimensional numerical simulation of fusion plasma transport based on nonlinear resistive magnetohydrodynamics (MHD) equations. The geometry of the model is a complicated time-dependent two-dimensional configuration of flux contours analogous to a doublet. Numerical convergence rate comparisons of the optimized back-averaging method with various other iterative techniques for solving the numerical problem show that optimized back-averaging is the fastest method of all those considered. Moreover, to accomplish convergence in a practical length of time for extremely peaked profiles and complicated time varying configurations, back-averaging is essential. Further, with a minimum of additional computation, optimized back-averaging yields extreme accuracy.
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 65Z05 | Applications to the sciences |
| 76M99 | Basic methods in fluid mechanics |
Keywords:
fast accurate multi-stage numerical method; back-averaging; alternating dimensional numerical simulation; fusion plasma transport; nonlinear resistive magnetohydrodynamics; time-dependent two-dimensional configuration of flux contours; Numerical convergence rate comparisons; optimized back-averaging method; iterative techniquesReferences:
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