A high-order discontinuous Galerkin method for the SN transport equations on 2D unstructured triangular meshes

Yaqi Wang; Jean C. Ragusa

doi:10.1016/j.anucene.2009.03.002

A high-order discontinuous Galerkin method for the S_N transport equations on 2D unstructured triangular meshes

Yaqi Wang
, Jean C. Ragusa

Research output: Contribution to journal › Article › peer-review

43 Scopus citations

Abstract

This paper presents high-order numerical solutions to the S_N transport equation on unstructured triangular meshes using a Discontinuous Galerkin Finite Element Method (DGFEM). Hierarchical basis functions, up to order 4, are used for the spatial representation of the solution. Numerical results are provided for source-driven and eigenvalue problems. Convergence rates (as a function of the mesh size and CPU time) are discussed.

Original language	English
Pages (from-to)	931-939
Number of pages	9
Journal	Annals of Nuclear Energy
Volume	36
Issue number	7
DOIs	https://doi.org/10.1016/j.anucene.2009.03.002
State	Published - Jul 2009
Externally published	Yes

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10.1016/j.anucene.2009.03.002

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title = "A high-order discontinuous Galerkin method for the SN transport equations on 2D unstructured triangular meshes",

abstract = "This paper presents high-order numerical solutions to the SN transport equation on unstructured triangular meshes using a Discontinuous Galerkin Finite Element Method (DGFEM). Hierarchical basis functions, up to order 4, are used for the spatial representation of the solution. Numerical results are provided for source-driven and eigenvalue problems. Convergence rates (as a function of the mesh size and CPU time) are discussed.",

author = "Yaqi Wang and Ragusa, \{Jean C.\}",

year = "2009",

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AU - Wang, Yaqi

AU - Ragusa, Jean C.

PY - 2009/7

Y1 - 2009/7

N2 - This paper presents high-order numerical solutions to the SN transport equation on unstructured triangular meshes using a Discontinuous Galerkin Finite Element Method (DGFEM). Hierarchical basis functions, up to order 4, are used for the spatial representation of the solution. Numerical results are provided for source-driven and eigenvalue problems. Convergence rates (as a function of the mesh size and CPU time) are discussed.

AB - This paper presents high-order numerical solutions to the SN transport equation on unstructured triangular meshes using a Discontinuous Galerkin Finite Element Method (DGFEM). Hierarchical basis functions, up to order 4, are used for the spatial representation of the solution. Numerical results are provided for source-driven and eigenvalue problems. Convergence rates (as a function of the mesh size and CPU time) are discussed.

UR - https://www.scopus.com/pages/publications/67349126440

U2 - 10.1016/j.anucene.2009.03.002

DO - 10.1016/j.anucene.2009.03.002

M3 - Article

AN - SCOPUS:67349126440

SN - 0306-4549

VL - 36

SP - 931

EP - 939

JO - Annals of Nuclear Energy

JF - Annals of Nuclear Energy

IS - 7

ER -

A high-order discontinuous Galerkin method for the S_N transport equations on 2D unstructured triangular meshes

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