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反应堆高阶κ本征方程数值计算方法的改进

吕栋 张少泓 王涛

吕栋, 张少泓, 王涛. 反应堆高阶κ本征方程数值计算方法的改进[J]. 原子核物理评论, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115
引用本文: 吕栋, 张少泓, 王涛. 反应堆高阶κ本征方程数值计算方法的改进[J]. 原子核物理评论, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115
Lü Dong, ZHANG Shao-hong, WANG Tao. An Improved Method for the Numerical Solution of Higher Order Nuclear Reactor κ-eigenvalue Problem[J]. Nuclear Physics Review, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115
Citation: Lü Dong, ZHANG Shao-hong, WANG Tao. An Improved Method for the Numerical Solution of Higher Order Nuclear Reactor κ-eigenvalue Problem[J]. Nuclear Physics Review, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115

反应堆高阶κ本征方程数值计算方法的改进

doi: 10.11804/NuclPhysRev.23.02.115

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

  • 摘要: 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.
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  1900-01-01
  • 刊出日期:  2006-06-20

反应堆高阶κ本征方程数值计算方法的改进

doi: 10.11804/NuclPhysRev.23.02.115

摘要: 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.

English Abstract

吕栋, 张少泓, 王涛. 反应堆高阶κ本征方程数值计算方法的改进[J]. 原子核物理评论, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115
引用本文: 吕栋, 张少泓, 王涛. 反应堆高阶κ本征方程数值计算方法的改进[J]. 原子核物理评论, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115
Lü Dong, ZHANG Shao-hong, WANG Tao. An Improved Method for the Numerical Solution of Higher Order Nuclear Reactor κ-eigenvalue Problem[J]. Nuclear Physics Review, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115
Citation: Lü Dong, ZHANG Shao-hong, WANG Tao. An Improved Method for the Numerical Solution of Higher Order Nuclear Reactor κ-eigenvalue Problem[J]. Nuclear Physics Review, 2006, 23(2): 115-118. doi: 10.11804/NuclPhysRev.23.02.115

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