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

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      https://www.ias.ac.in/article/fulltext/pram/088/03/0048

    • Keywords

       

      Grad–Shafranov equation; Chebyshev collocation

    • Abstract

       

      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 crosssection of the tokamak and present numerical result of magnetic surfaces on the IR-T1 tokamak and then compare the results with an analytical solution.

    • Author Affiliations

       

      Z AMERIAN1 M K SALEM1 A SALAR ELAHI1 M GHORANNEVISS1

      1. Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran, Iran
    • Dates

       
  • Pramana – Journal of Physics | News

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