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Title: A Pebble Tracking Transport Algorithm for Pebble Bed Reactor Analysis

Abstract

Pebble bed reactor (PBR) designs pose unique challenges to modeling and simulation. The challenges originate from the multiple levels of heterogeneity partly due to random packing in and flow through the core of fuel pebbles. This paper proposes a novel pebble tracking transport (PTT) algorithm to address some of the challenges facing PBR analysis. Each individual pebble is tracked and modeled on an unstructured mesh of which the nodes are aligned with the pebble centroids. The neutron transport equation is solved on this pebble tracking mesh with pre-assembled elemental matrices. These elemental matrices are independent of the cross sections and the streaming directions, thus can be assembled before the calculation without introducing too much memory overhead especially when combined with spatial domain decomposition. Numerical results show that these matrices can be assembled efficiently. PTT is implemented in Rattlesnake, the INL MOOSE-based multigroup radiation transport application. Both the angular and spatial convergence are investigated and the results indicate that low order angular and spatial resolution is typically sufficient for analysis. A complete work flow for PBR analysis with PTT including, pebble packing, meshing, cross section generation, solution of the transport equation, postprocessing, etc. is demonstrated with a simplified reactor with 41,048more » pebbles.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Idaho National Laboratory
Publication Date:
Research Org.:
Idaho National Lab. (INL), Idaho Falls, ID (United States)
Sponsoring Org.:
USDOE Office of Nuclear Energy (NE)
OSTI Identifier:
1478317
Report Number(s):
INL/CON-17-43540-Rev000
DOE Contract Number:  
AC07-05ID14517
Resource Type:
Conference
Resource Relation:
Conference: PHYSOR 2018: Reactor Physics Paving The Way Towards More Efficient Systems, Cancun, Mexico, 04/22/2018 - 04/26/2018
Country of Publication:
United States
Language:
English
Subject:
97 - MATHEMATICS AND COMPUTING; pebble bed reactor; pebble tracking transport; unstructured mesh; Rattlesnake

Citation Formats

Wang, Yaqi, Ortensi, Javier, Schunert, Sebastian, and Laboure, Vincent. A Pebble Tracking Transport Algorithm for Pebble Bed Reactor Analysis. United States: N. p., 2018. Web.
Wang, Yaqi, Ortensi, Javier, Schunert, Sebastian, & Laboure, Vincent. A Pebble Tracking Transport Algorithm for Pebble Bed Reactor Analysis. United States.
Wang, Yaqi, Ortensi, Javier, Schunert, Sebastian, and Laboure, Vincent. Sun . "A Pebble Tracking Transport Algorithm for Pebble Bed Reactor Analysis". United States. https://www.osti.gov/servlets/purl/1478317.
@article{osti_1478317,
title = {A Pebble Tracking Transport Algorithm for Pebble Bed Reactor Analysis},
author = {Wang, Yaqi and Ortensi, Javier and Schunert, Sebastian and Laboure, Vincent},
abstractNote = {Pebble bed reactor (PBR) designs pose unique challenges to modeling and simulation. The challenges originate from the multiple levels of heterogeneity partly due to random packing in and flow through the core of fuel pebbles. This paper proposes a novel pebble tracking transport (PTT) algorithm to address some of the challenges facing PBR analysis. Each individual pebble is tracked and modeled on an unstructured mesh of which the nodes are aligned with the pebble centroids. The neutron transport equation is solved on this pebble tracking mesh with pre-assembled elemental matrices. These elemental matrices are independent of the cross sections and the streaming directions, thus can be assembled before the calculation without introducing too much memory overhead especially when combined with spatial domain decomposition. Numerical results show that these matrices can be assembled efficiently. PTT is implemented in Rattlesnake, the INL MOOSE-based multigroup radiation transport application. Both the angular and spatial convergence are investigated and the results indicate that low order angular and spatial resolution is typically sufficient for analysis. A complete work flow for PBR analysis with PTT including, pebble packing, meshing, cross section generation, solution of the transport equation, postprocessing, etc. is demonstrated with a simplified reactor with 41,048 pebbles.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {4}
}

Conference:
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