An Improved Method for the Numerical Solution of Higher Order Nuclear Reactor κ-eigenvalue Problem
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Graphical Abstract
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Abstract
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.
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