A review on the solution of Grad–Shafranov equation in the cylindrical coordinates based on the Chebyshev collocation technique

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• 作者：Z AMERIAN ; M K SALEM ; A SALAR ELAHI ; M GHORANNEVISS
• 关键词：Grad–Shafranov equation ; Chebyshev collocation.
• 刊名：Pramana
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：88
• 期：3
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astronomy, Observations and Techniques; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0973-7111
• 卷排序：88

文摘

Equilibrium reconstruction consists of identifying, from experimental measurements, a distribution of the plasma current density that satisfies the pressure balance constraint. Numerous methods exist to solve the Grad–Shafranov equation, describing the equilibrium of plasma confined by an axisymmetric magnetic field. In this paper, we have proposed a new numerical solution to the Grad–Shafranov equation (an axisymmetric, magnetic field transformed in cylindrical coordinates solved with the Chebyshev collocation method) when the source term (current density function) on the right-hand side is linear. The Chebyshev collocation method is a method for computing highly accurate numerical solutions of differential equations. We describe a circular cross-section of the tokamak and present numerical result of magnetic surfaces on the IR-T1 tokamak and then compare the results with an analytical solution.