Mixed-hybrid methods for the linear transport equation

S. Van Criekingen; E. E. Lewis; R. Beauwens

Mixed-hybrid methods for the linear transport equation

S. Van Criekingen^*, E. E. Lewis, R. Beauwens

^*Corresponding author for this work

Mechanical Engineering

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

1 Scopus citations

Abstract

Mixed-hybrid methods generalize the existing mixed and hybrid methods combining their attractive features. A significant achievement is that not only odd- but also even-parity P_N approximations are used for the angular discretization. This leads to a promising enclosing property in our numerical tests. Furthermore, we establish flux and current interface continuity properties from the Rumyantsev conditions, for which we outline a new derivation.

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	1449-1458
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 transport equation
Mixed-hybrid methods
Rumyantsev conditions
Spherical harmonics

ASJC Scopus subject areas

General Engineering

Cite this

@inproceedings{01fc29ce1b574e05bc2ef26acf23caaa,

title = "Mixed-hybrid methods for the linear transport equation",

abstract = "Mixed-hybrid methods generalize the existing mixed and hybrid methods combining their attractive features. A significant achievement is that not only odd- but also even-parity PN approximations are used for the angular discretization. This leads to a promising enclosing property in our numerical tests. Furthermore, we establish flux and current interface continuity properties from the Rumyantsev conditions, for which we outline a new derivation.",

keywords = "Boltzmann transport equation, Mixed-hybrid methods, Rumyantsev conditions, Spherical harmonics",

author = "{Van Criekingen}, S. and Lewis, {E. E.} and R. Beauwens",

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 = "1449--1458",

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",

}

Van Criekingen, S, Lewis, EE & Beauwens, R 2004, Mixed-hybrid methods for the linear transport equation. 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. 1449-1458, PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments, Chicago, IL, United States, 4/25/04.

Mixed-hybrid methods for the linear transport equation. / Van Criekingen, S.; Lewis, E. E.; Beauwens, R.
Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments. 2004. p. 1449-1458 (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 - Mixed-hybrid methods for the linear transport equation

AU - Van Criekingen, S.

AU - Lewis, E. E.

AU - Beauwens, R.

PY - 2004

Y1 - 2004

N2 - Mixed-hybrid methods generalize the existing mixed and hybrid methods combining their attractive features. A significant achievement is that not only odd- but also even-parity PN approximations are used for the angular discretization. This leads to a promising enclosing property in our numerical tests. Furthermore, we establish flux and current interface continuity properties from the Rumyantsev conditions, for which we outline a new derivation.

AB - Mixed-hybrid methods generalize the existing mixed and hybrid methods combining their attractive features. A significant achievement is that not only odd- but also even-parity PN approximations are used for the angular discretization. This leads to a promising enclosing property in our numerical tests. Furthermore, we establish flux and current interface continuity properties from the Rumyantsev conditions, for which we outline a new derivation.

KW - Boltzmann transport equation

KW - Mixed-hybrid methods

KW - Rumyantsev conditions

KW - Spherical harmonics

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M3 - Conference contribution

AN - SCOPUS:22344439716

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

SP - 1449

EP - 1458

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 -

Mixed-hybrid methods for the linear transport equation

Abstract

Publication series

Other

Keywords

ASJC Scopus subject areas

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