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

Tomas Mallmann Paganin; Sebastian Schunert; Richard Vasques; Leonardo Moraes

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

Tomas Mallmann Paganin
, Sebastian Schunert
, Richard Vasques
, Leonardo Moraes

Nuclear Reactor Technology

Research output: Contribution to conference › Paper › peer-review

Abstract

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.

Original language	Undefined/Unknown
State	Published - Aug 1 2023
Event	The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2023) - Ontario, Canada Duration: Aug 13 2023 → Aug 17 2023

Conference

Conference	The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2023)
Country/Territory	Canada
City	Ontario
Period	08/13/23 → 08/17/23

INL Publication Number

INL/CON-22-69788
141935

Access to Document

https://www.osti.gov/biblio/2007793

Cite this

@conference{566cffff18594ffdaf1756709647c74c,

title = "An Initial Study of the Convergence Rate of Griffin{\textquoteright}s Pebble Bed Reactors Algorithm",

abstract = "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{\textquoteright}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.",

author = "Paganin, \{Tomas Mallmann\} and Sebastian Schunert and Richard Vasques and Leonardo Moraes",

year = "2023",

month = aug,

day = "1",

language = "Undefined/Unknown",

note = "The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M\&C 2023) ; Conference date: 13-08-2023 Through 17-08-2023",

}

An Initial Study of the Convergence Rate of Griffin’s Pebble Bed Reactors Algorithm. / Paganin, Tomas Mallmann; Schunert, Sebastian; Vasques, Richard et al.
2023. Paper presented at The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2023) , Ontario, Canada.

Research output: Contribution to conference › Paper › peer-review

TY - CONF

T1 - An Initial Study of the Convergence Rate of Griffin’s Pebble Bed Reactors Algorithm

AU - Paganin, Tomas Mallmann

AU - Schunert, Sebastian

AU - Vasques, Richard

AU - Moraes, Leonardo

PY - 2023/8/1

Y1 - 2023/8/1

N2 - 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.

AB - 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.

M3 - Paper

T2 - The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2023)

Y2 - 13 August 2023 through 17 August 2023

ER -

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

Abstract

Conference

INL Publication Number

Access to Document

Fingerprint

Cite this