Computer Simulation of Systems of Axisymmetric Current-Carrying Superconducting Multi-Connected Bodies by the Method of Integral Equations

Abstract

The system of integral equations for surface currents of superconductors is obtained on the basis of the condition of magnetic flux conservation in the superconductor circuit for the axisymmetric system of superconducting bodies. The equations of the system have weakly singular kernels. A numerical method for solving model equations is developed using the method of singularity location. The study of the numerical model showed its correctness and convergence. However, there is a poor conditionality of the numerical model. On the example of the threebody problem, it is shown that with the number of sampling points about 100 on the contour of each body the calculation accuracy is 0,1%. It is noted that in comparison with the finite element method the number of degrees of freedom decreases by an order of magnitude.