Abstract:
Grad Shafranov equation is equilibrium solution of ideal MHD. Several method
is developed to compute it numerically [6], [7] but in this project a variational
moment method is studied to estimate the solution to the Grad-shafranov
equation which is generalized to nd approximate free boundary solutions to
the grad-shafranov equation. Some ordinary di erential equation had to be
solved to calculate the poloidal magnetic ux
ψ(R, Z) those were nothing but
Grad-Shafranov equation's moments.
Grad-Shafranov equation's moment
are fourier amplitudes of the inverse mapping of
R(ψ, θ)
and
Z(ψ, θ).
Numerical and Analytical solutions of moment equations are constructed whose
results concur well with two dimensional equilibrium code . The main advantage of the variational moment method is that it signicantly reduces the
computational time required to determine two-dimensional equilibria without
sacrifi cing accuracy. In future the code will further be developed to calculate
the fl ux surface at separatrix and location of strike points.
