An Initial Study of the Convergence Rate of Griffin’s Pebble Bed Reactors Algorithm

Conference · Mon Aug 14 00:00:00 EDT 2023

OSTI ID:2007793

Paganin, Tomas Mallmann ^[1]; Schunert, Sebastian  ^[2]; Vasques, Richard ^[1]; Moraes, Leonardo ^[1]

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1. Ohio State University
2. Idaho National Laboratory

This paper presents an initial study of the convergence properties of an iterative algorithm for computing the burnup distribution in a pebble bed reactor (PBR) in its equilibrium core condition. The algorithm is implemented in the Griffin code. Griffin is a reactor multiphysics analysis application jointly developed by Idaho National Laboratory (INL) and Argonne National Laboratory (ANL). Griffin’s PBR algorithm is discussed and simulation data are presented. An alternative matrix formulation of the algorithm is presented that facilitates analysis of the iterative algorithm. The dependence of the spectral radius of the iterative algorithm on operational and discretization parameters is investigated.

• Research Organization: Idaho National Laboratory (INL), Idaho Falls, ID (United States)
• Sponsoring Organization: 58
• DOE Contract Number: DE-AC07-05ID14517
• OSTI ID: 2007793
• Report Number(s): INL/CON-22-69788-Rev000
• Resource Relation: Conference: Mathematics and Computation 2023, Niagara Falls, 08/13/2023 - 08/17/2023
• Country of Publication: United States
• Language: English

Related Subjects

97 - MATHEMATICS AND COMPUTING
Pebble Bed Reactor
Multiphysics object oriented simulation environment (MOOSE)
Griffin
Equilibrium core