Hybrid PN-SN calculations with SAAF for the multiscale transport capability in Rattlesnake

Yaqi Wang; Sebastian Schunert; Mark DeHart; Richard Martineau

Hybrid P_N-S_N calculations with SAAF for the multiscale transport capability in Rattlesnake

Yaqi Wang
, Sebastian Schunert
, Mark DeHart
, Richard Martineau

Nuclear Reactor Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

An interface condition for hybrid P_N-S_N calculations is proposed for the self-adjoint angular flux (SAAF) formulation of the transport equation using the continuous finite element method (FEM) for spatial discretization. This interface condition is implemented in Rattlesnake, the radiation transport application built on MOOSE, for the on-going multiscale transport simulation effort at INL. The interface condition uses the mortar FEM framework in MOOSE for spatial coupling that is based on a Lagrange multiplier approach for constraining the solution in angle. For smoothing the solution at the interface a method based on S_N Lagrange interpolation on the sphere is proposed. Numerical results indicate that the interface condition gives the expected convergence.

Original language	English
Title of host publication	Physics of Reactors 2016, PHYSOR 2016
Subtitle of host publication	Unifying Theory and Experiments in the 21st Century
Publisher	American Nuclear Society
Pages	3396-3408
Number of pages	13
ISBN (Electronic)	9781510825734
State	Published - 2016
Event	Physics of Reactors 2016: Unifying Theory and Experiments in the 21st Century, PHYSOR 2016 - Sun Valley, United States Duration: May 1 2016 → May 5 2016

Publication series

Name	Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century
Volume	5

Conference

Conference	Physics of Reactors 2016: Unifying Theory and Experiments in the 21st Century, PHYSOR 2016
Country/Territory	United States
City	Sun Valley
Period	05/1/16 → 05/5/16

Keywords

Hybrid P-S
Lagrange multiplier
Mortar FEM
Multiscale transport
SAAF

Cite this

Wang, Y., Schunert, S., DeHart, M., & Martineau, R. (2016). Hybrid P_N-S_N calculations with SAAF for the multiscale transport capability in Rattlesnake. In Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century (pp. 3396-3408). (Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century; Vol. 5). American Nuclear Society.

Wang, Yaqi ; Schunert, Sebastian ; DeHart, Mark et al. / Hybrid P_N-S_N calculations with SAAF for the multiscale transport capability in Rattlesnake. Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century. American Nuclear Society, 2016. pp. 3396-3408 (Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century).

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title = "Hybrid PN-SN calculations with SAAF for the multiscale transport capability in Rattlesnake",

abstract = "An interface condition for hybrid PN-SN calculations is proposed for the self-adjoint angular flux (SAAF) formulation of the transport equation using the continuous finite element method (FEM) for spatial discretization. This interface condition is implemented in Rattlesnake, the radiation transport application built on MOOSE, for the on-going multiscale transport simulation effort at INL. The interface condition uses the mortar FEM framework in MOOSE for spatial coupling that is based on a Lagrange multiplier approach for constraining the solution in angle. For smoothing the solution at the interface a method based on SN Lagrange interpolation on the sphere is proposed. Numerical results indicate that the interface condition gives the expected convergence.",

keywords = "Hybrid P-S, Lagrange multiplier, Mortar FEM, Multiscale transport, SAAF",

author = "Yaqi Wang and Sebastian Schunert and Mark DeHart and Richard Martineau",

year = "2016",

language = "English",

series = "Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century",

publisher = "American Nuclear Society",

pages = "3396--3408",

booktitle = "Physics of Reactors 2016, PHYSOR 2016",

note = "Physics of Reactors 2016: Unifying Theory and Experiments in the 21st Century, PHYSOR 2016 ; Conference date: 01-05-2016 Through 05-05-2016",

}

Wang, Y, Schunert, S, DeHart, M & Martineau, R 2016, Hybrid P_N-S_N calculations with SAAF for the multiscale transport capability in Rattlesnake. in Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century. Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century, vol. 5, American Nuclear Society, pp. 3396-3408, Physics of Reactors 2016: Unifying Theory and Experiments in the 21st Century, PHYSOR 2016, Sun Valley, United States, 05/1/16.

Hybrid P_N-S_N calculations with SAAF for the multiscale transport capability in Rattlesnake. / Wang, Yaqi; Schunert, Sebastian; DeHart, Mark et al.
Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century. American Nuclear Society, 2016. p. 3396-3408 (Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Hybrid PN-SN calculations with SAAF for the multiscale transport capability in Rattlesnake

AU - Wang, Yaqi

AU - Schunert, Sebastian

AU - DeHart, Mark

AU - Martineau, Richard

PY - 2016

Y1 - 2016

N2 - An interface condition for hybrid PN-SN calculations is proposed for the self-adjoint angular flux (SAAF) formulation of the transport equation using the continuous finite element method (FEM) for spatial discretization. This interface condition is implemented in Rattlesnake, the radiation transport application built on MOOSE, for the on-going multiscale transport simulation effort at INL. The interface condition uses the mortar FEM framework in MOOSE for spatial coupling that is based on a Lagrange multiplier approach for constraining the solution in angle. For smoothing the solution at the interface a method based on SN Lagrange interpolation on the sphere is proposed. Numerical results indicate that the interface condition gives the expected convergence.

AB - An interface condition for hybrid PN-SN calculations is proposed for the self-adjoint angular flux (SAAF) formulation of the transport equation using the continuous finite element method (FEM) for spatial discretization. This interface condition is implemented in Rattlesnake, the radiation transport application built on MOOSE, for the on-going multiscale transport simulation effort at INL. The interface condition uses the mortar FEM framework in MOOSE for spatial coupling that is based on a Lagrange multiplier approach for constraining the solution in angle. For smoothing the solution at the interface a method based on SN Lagrange interpolation on the sphere is proposed. Numerical results indicate that the interface condition gives the expected convergence.

KW - Hybrid P-S

KW - Lagrange multiplier

KW - Mortar FEM

KW - Multiscale transport

KW - SAAF

UR - https://www.scopus.com/pages/publications/84992058811

M3 - Conference contribution

AN - SCOPUS:84992058811

T3 - Physics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century

SP - 3396

EP - 3408

BT - Physics of Reactors 2016, PHYSOR 2016

PB - American Nuclear Society

T2 - Physics of Reactors 2016: Unifying Theory and Experiments in the 21st Century, PHYSOR 2016

Y2 - 1 May 2016 through 5 May 2016

ER -