With the increasing complexity of nuclear facility decommissioning and nuclear accident emergency response, accurate methods for radiation field reconstruction have become increasingly important. Gamma-ray transport simulation codes, as critical tools for radiation field reconstruction, are widely applied in nuclear safety analysis. Despite the advancements in computational technology and methodologies, many discrete ordinates method ( \({\text{S}}_{{\text{N}}}\) ) codes, commonly seen technique for radiation transport calculations, have not yet been rigorously verified. Thus, a comprehensive verification process is essential for gamma-ray transport codes based on \({\text{S}}_{{\text{N}}}\) . The Method of Manufactured Solutions (MMS) is a well-established and effective approach for code verification. However, research on verification of gamma-ray transport codes using \({\text{S}}_{{\text{N}}}\) remains limited. This study investigates the applicability of MMS in verifying gamma-ray transport simulation codes based on \({\text{S}}_{{\text{N}}}\) . Simplified analytical solutions were constructed using MMS, along with corresponding source terms and boundary conditions. The numerical solutions obtained from the code were compared to the analytical solutions to evaluate the code’s accuracy. The results demonstrate that MMS is an effective tool for verifying gamma-ray transport simulation codes based on \({\text{S}}_{{\text{N}}}\) . The study further confirms the stability and convergence of the code under varying computational grids and boundary conditions. This research provides a reliable verification tool for nuclear radiation field reconstruction and offers valuable data support for optimizing gamma-ray transport codes based on \({\text{S}}_{{\text{N}}}\) . It makes a positive contribution to the verification process of computational codes.

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An Attempt to Verify Gamma-Ray Transport Codes Based on the Discrete Ordinates Method Using the Method of Manufactured Solutions

  • Zhenwen Wei,
  • Jipu Wang,
  • Peitao Song,
  • Tengjie Chen,
  • Can Huang,
  • Ziyang Lin,
  • Haoyuan Song,
  • Hao Liang,
  • Sijuan Chen,
  • Ming Yang,
  • Yong Liu

摘要

With the increasing complexity of nuclear facility decommissioning and nuclear accident emergency response, accurate methods for radiation field reconstruction have become increasingly important. Gamma-ray transport simulation codes, as critical tools for radiation field reconstruction, are widely applied in nuclear safety analysis. Despite the advancements in computational technology and methodologies, many discrete ordinates method ( \({\text{S}}_{{\text{N}}}\) ) codes, commonly seen technique for radiation transport calculations, have not yet been rigorously verified. Thus, a comprehensive verification process is essential for gamma-ray transport codes based on \({\text{S}}_{{\text{N}}}\) . The Method of Manufactured Solutions (MMS) is a well-established and effective approach for code verification. However, research on verification of gamma-ray transport codes using \({\text{S}}_{{\text{N}}}\) remains limited. This study investigates the applicability of MMS in verifying gamma-ray transport simulation codes based on \({\text{S}}_{{\text{N}}}\) . Simplified analytical solutions were constructed using MMS, along with corresponding source terms and boundary conditions. The numerical solutions obtained from the code were compared to the analytical solutions to evaluate the code’s accuracy. The results demonstrate that MMS is an effective tool for verifying gamma-ray transport simulation codes based on \({\text{S}}_{{\text{N}}}\) . The study further confirms the stability and convergence of the code under varying computational grids and boundary conditions. This research provides a reliable verification tool for nuclear radiation field reconstruction and offers valuable data support for optimizing gamma-ray transport codes based on \({\text{S}}_{{\text{N}}}\) . It makes a positive contribution to the verification process of computational codes.