Evaluation of the boundary of the vacuum in a Tokamak

摘要

This note is concerned with two methods for the evaluation of the boundary of tore supra in a Tokamak. One method is based on optimization which seeks to minimize a cost functional. The other method is based on obtaining the poloidal flux within two concentric circles and interpolating the location of the boundary. Both methods are iterative, and consider Cauchy problems for the poloidal flux. The second method uses the method of proper solution space to generate the value of the poloidal flux within two concentric circles. It then interpolates for the location of the boundary. Both algorithms show good robustness to noise. A number of numerical examples are used to show the applicability of the methods.