Plasma and Fusion Research
Volume 5, S2112 (2010)
Regular Articles
- Yamagata University, Yamagata 992-8510, Japan
- 1)
- National Institute of Fusion Science, Gifu 509-5292, Japan
Abstract
A high-performance method has been proposed for calculating the shielding current density in a high-temperature superconducting thin film. After spatially discretized, the initial-boundary-value problem of the shielding current density is reduced to a system of first-order ordinary differential equations that has a strong nonlinearity. However, the system cannot be always solved by means of the Runge-Kutta method even when an adaptive step-size control algorithm is incorporated to the method. In order to suppress an overflow in the algorithm, the following method is proposed: the J-E constitutive relation is modified so that its solution may satisfy the original constitutive relation. A numerical code for analyzing the shielding current density has been developed on the basis of the proposed method and the inductive method has been investigated by use of the code.
Keywords
high-temperature superconductor, nonlinear equation, Newton method, Runge-Kutta method, backward Euler method
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This paper may be cited as follows:
Atsushi KAMITANI, Teruou TAKAYAMA and Hiroaki NAKAMURA, Plasma Fusion Res. 5, S2112 (2010).