Analysis and Improvement of the Q-iteration Method

Abstract

Abstract The q-iteration method is simple, efficient and robust in determining the concentration distribution in an isotope separation cascade with a known hydraulic state. The expression of the quantity q and the value of the relaxation factor of the q-iteration method have a significant influence on the convergence rate of iteration. Through analyzing the convergence of the q-iteration method, an improved method for updating q is proposed, and the value range of the relaxation factor is obtained. Numerical analysis shows that the improved method can significantly speed up the convergence. By selecting an appropriate value of the relaxation factor, the convergence can be further improved.