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

Lü Dong; ZHANG Shao-hong; WANG Tao

doi:10.11804/NuclPhysRev.23.02.115

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Volume 23 Issue 2

Jun. 2006

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Article Navigation > Nuclear Physics Review > 2006 > 23(2): 115-118

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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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

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

doi: 10.11804/NuclPhysRev.23.02.115

Department of Nuclear Science and System Engineering, Shanghai Jiaotong University, Shanghai 200030, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2006-06-20

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.
- higher order harmonic,
- numerical method,
- iteration,
- convergence criteria
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

doi: 10.11804/NuclPhysRev.23.02.115

Department of Nuclear Science and System Engineering, Shanghai Jiaotong University, Shanghai 200030, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2006-06-20

Key words:

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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