Development and verification of a higher-order mathematical adjoint nodal diffusion solver

Muhammad Ramzy Altahhan,Rene Van Geemert,Maria Avramova,Kostadin Ivanov

Annals of Nuclear Energy（2021）

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摘要

•Development and verification of a NEM-M2B2 mathematical adjoint nodal diffusion solver.•Application of the Lagrangian multipliers method to derive the nodal mathematical adjoint.•A physical interpretation of the mathematical adjoint based on the derivation method.•Adjoint-based predictive sensitivity/perturbation analysis of the IAEA-3D benchmark.•Derivation and verification of a NEM-M2B2 model-based equation to predict the λ-eigenvalue change.

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关键词

Nodal Expansion Method (NEM),Lagrange multiplier,Adjoint,Diffusion equation,Verification,Perturbation analysis,Sensitivity analysis,IAEA-3D benchmark

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