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

作者：Amerian Z; Salem M K; Elahi A Salar^*; Ghoranneviss M

来源：Pramana - Journal of Physics, 2017, 88(3): 48.

DOI：10.1007/s12043-016-1353-0

• Grad-Shafranov equation
• Chebyshev collocation

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.

• 出版日期2017-3