The variational nodal method in R-Z geometry

Hui Zhang; E. E. Lewis

The variational nodal method in R-Z geometry

Hui Zhang, E. E. Lewis^*

^*Corresponding author for this work

Mechanical Engineering

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

Abstract

The variational nodal method contained in the Argonne National Laboratory code VARIANT is generalized to include R-Z geometry. Spherical harmonic trial functions are used in angle, and polynomials in space. The nodal volumes correspond to toroids, with rectangular cross sections, except along centerline where they are cylinders. The R-Z response matrix equations are solved using the iterative methods already contained in VARIANT. Results are given for both a one-group fixed source and a two-group eigenvalue problem.

Original language	English (US)
Title of host publication	Proceedings of the PHYSOR 2004
Subtitle of host publication	The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments
Pages	1469-1478
Number of pages	10
State	Published - 2004
Event	PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments - Chicago, IL, United States Duration: Apr 25 2004 → Apr 29 2004

Publication series

Name	Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

Other

Other	PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments
Country/Territory	United States
City	Chicago, IL
Period	4/25/04 → 4/29/04

Keywords

Boltzmann Equation
Neutron Transport
Nodal Method
R-Z Geometry
Spherical Harmonics
Variational Method

ASJC Scopus subject areas

General Engineering

Cite this

@inproceedings{451da7f6454a404a8074a269a8f9b21c,

title = "The variational nodal method in R-Z geometry",

abstract = "The variational nodal method contained in the Argonne National Laboratory code VARIANT is generalized to include R-Z geometry. Spherical harmonic trial functions are used in angle, and polynomials in space. The nodal volumes correspond to toroids, with rectangular cross sections, except along centerline where they are cylinders. The R-Z response matrix equations are solved using the iterative methods already contained in VARIANT. Results are given for both a one-group fixed source and a two-group eigenvalue problem.",

keywords = "Boltzmann Equation, Neutron Transport, Nodal Method, R-Z Geometry, Spherical Harmonics, Variational Method",

author = "Hui Zhang and Lewis, {E. E.}",

year = "2004",

language = "English (US)",

isbn = "0894486837",

series = "Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments",

pages = "1469--1478",

booktitle = "Proceedings of the PHYSOR 2004",

note = "PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments ; Conference date: 25-04-2004 Through 29-04-2004",

}

Zhang, H & Lewis, EE 2004, The variational nodal method in R-Z geometry. in Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments. Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments, pp. 1469-1478, PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments, Chicago, IL, United States, 4/25/04.

The variational nodal method in R-Z geometry. / Zhang, Hui; Lewis, E. E.
Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments. 2004. p. 1469-1478 (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).

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

TY - GEN

T1 - The variational nodal method in R-Z geometry

AU - Zhang, Hui

AU - Lewis, E. E.

PY - 2004

Y1 - 2004

N2 - The variational nodal method contained in the Argonne National Laboratory code VARIANT is generalized to include R-Z geometry. Spherical harmonic trial functions are used in angle, and polynomials in space. The nodal volumes correspond to toroids, with rectangular cross sections, except along centerline where they are cylinders. The R-Z response matrix equations are solved using the iterative methods already contained in VARIANT. Results are given for both a one-group fixed source and a two-group eigenvalue problem.

AB - The variational nodal method contained in the Argonne National Laboratory code VARIANT is generalized to include R-Z geometry. Spherical harmonic trial functions are used in angle, and polynomials in space. The nodal volumes correspond to toroids, with rectangular cross sections, except along centerline where they are cylinders. The R-Z response matrix equations are solved using the iterative methods already contained in VARIANT. Results are given for both a one-group fixed source and a two-group eigenvalue problem.

KW - Boltzmann Equation

KW - Neutron Transport

KW - Nodal Method

KW - R-Z Geometry

KW - Spherical Harmonics

KW - Variational Method

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M3 - Conference contribution

AN - SCOPUS:22344441943

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T3 - Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

SP - 1469

EP - 1478

BT - Proceedings of the PHYSOR 2004

T2 - PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

Y2 - 25 April 2004 through 29 April 2004

ER -

The variational nodal method in R-Z geometry

Abstract

Publication series

Other

Keywords

ASJC Scopus subject areas

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