Transmission probability method for triangular meshes

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Abstract

This chapter presents a transmission probability method (TPM) based on two-dimensional triangular meshes and three-dimensional triangular-z meshes to solve the neutron integral transport equation. The meshes are coupled by the continuity of neutron flux and current at the interface. The neutron flux and neutron source within each mesh is assumed to be spatially uniform and isotropic. On the mesh surface, the flux over surface is set to be constant and the flux over angle is set to be simplified P1 approximation. Both the leakage probabilities and the transmission probabilities of the mesh are drived. A 2D code TPTRI and a 3D code TPMTD are developed according to the theory model. The numerical results of the benchmark problems demonstrate that the model is reliable. It is useful to solve the neutron transport problem in the unstructured geometry.

Original languageEnglish
Title of host publicationDeterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation
PublisherElsevier
Pages43-60
Number of pages18
ISBN (Electronic)9780128182215
DOIs
StatePublished - 1 Jan 2020

Keywords

  • Leakage probability
  • Probability calculation
  • Transmission probability method
  • Triangular meshes
  • Triangular-z meshes

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