反应堆高阶κ本征方程数值计算方法的改进

针对反应堆高阶κ-本征方程数值计算问题，提出了提高计算效率和计算精度的改进方法，并以一维问题为例，对该方法进行了验证。The solution methods for the higher order oped yet in the nuclear reactor engineering. Based on harmonics and higher order eigenvalues are not well develthe analysis of the convergence process of power iteration, a new approach for setting the starting values of higher order harmonic flux has been proposed. The results of numerical tests demonstrate that the proposed method could effectively improve the efficiency of calculations of higher order harmonics. In addition, a new type of criterion that judges the convergence of higher order harmonics dynamically has been proposed, it has been verified that the new convergence criterion could effectively prevent the buildup of numerical errors introduced in the solution of lower order harmonics in the solution of higher order harmonics.

An Improved Method for the Numerical Solution of Higher Order Nuclear Reactor k-eigenvalue Problem

The solution methods for the higher order harmonics and higher order eigenvalues are not well developed yet in the nuclear reactor engineering.Based on the analysis of the convergence process of power iteration,a new approach for setting the starting values of higher order harmonic flux has been proposed.The results of numerical tests demonstrate that the proposed method could effectively improve the efficiency of calculations of higher order harmonics.In addition,a new type of criterion that judges the convergence of higher order harmonics dynamically has been proposed,it has been verified that the new convergence criterion could effectively prevent the buildup of numerical errors introduced in the solution of lower order harmonics in the solution of higher order harmonics.