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March 16, 2026Nuclear Engineering and TechnologyOpen Access

Improved Adaptive Wielandt Acceleration Method for Solving Neutron Diffusion Equation under Extremely-distorted Flux Condition

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Authors

JBJiahe BaiTongji UniversityHGHanbo GaoTsinghua UniversityHFHe FangChina General Nuclear Power Corporation (China)

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Overview

Improved method solves neutron diffusion equation efficiently in reactors, suggesting enhanced safety.

Key Points

  • To develop an adaptive Wielandt acceleration method for solving the neutron diffusion equation under distorted flux conditions.
  • Developed an improved adaptive Wielandt acceleration method with segmented error amplification factors.
  • Implemented the method in the core physics code SPARK.
  • Evaluated the method using configurations like one-rod-out and two-rod-out in rectangular and hexagonal reactors.
  • Eliminated forbidden zones for parameters, enhancing numerical stability.
  • Reduced the need for negative flux corrections.
  • Achieved acceleration ratios significantly higher than the conventional method in both reactor configurations.

Cite This Study

Bai et al. (2026) studied this question.

synapsesocial.com/papers/69b79da78166e15b153aaf33https://doi.org/10.1016/j.net.2026.104268
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Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems1984 · 242 citations
  2. 2Iterative Procedures for Nonlinear Integral Equations1965 · 1,010 citations