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Title: Diffusion Acceleration Schemes for Self-Adjoint Angular Flux Formulation with a Void Treatment

A Galerkin weak form for the monoenergetic neutron transport equation with a continuous finite element method and discrete ordinate method is developed based on self-adjoint angular flux formulation. This weak form is modified for treating void regions. A consistent diffusion scheme is developed with projection. Correction terms of the diffusion scheme are derived to reproduce the transport scalar flux. A source iteration that decouples the solution of all directions with both linear and nonlinear diffusion accelerations is developed and demonstrated. One-dimensional Fourier analysis is conducted to demonstrate the stability of the linear and nonlinear diffusion accelerations. Numerical results of these schemes are presented.
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Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 0029-5639
DOE Contract Number:
Resource Type:
Journal Article
Resource Relation:
Journal Name: Nuclear Science and Engineering; Journal Volume: 176; Journal Issue: 2
Research Org:
Idaho National Laboratory (INL)
Sponsoring Org:
Country of Publication:
United States
11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS continuous finite element method; discrete ordinates; Galerkin weak formulation; neutron transport equation; self-adjoint angular flux