A two-mesh adaptive mesh refinement technique for SN neutral-particle transport using a higher-order DGFEM

Jean C. Ragusa; Yaqi Wang

doi:10.1016/j.cam.2009.12.020

A two-mesh adaptive mesh refinement technique for S_N neutral-particle transport using a higher-order DGFEM

Jean C. Ragusa
, Yaqi Wang

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

46 Scopus citations

Abstract

We present a two-mesh Adaptive Mesh Refinement technique for the S_N neutral-particle transport equation in 2D. A high-order (up to order 4) Discontinuous Galerkin (DG) finite element discretization is employed with standard upwinding. A suitable Diffusion Synthetic Acceleration (DSA) scheme is derived to precondition the transport solves. The DSA scheme, also based on a DG discretization, is derived directly from the discretized high-order DG S_N transport equation. Results are presented to demonstrate the superiority of AMR for DSA-accelerated S_N transport solves.

Original language	English
Pages (from-to)	3178-3188
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	233
Issue number	12
DOIs	https://doi.org/10.1016/j.cam.2009.12.020
State	Published - Apr 15 2010
Externally published	Yes

Keywords

Adaptive mesh refinement
Diffusion synthetic acceleration
Discontinuous Galerkin finite element method
SN transport

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10.1016/j.cam.2009.12.020

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title = "A two-mesh adaptive mesh refinement technique for SN neutral-particle transport using a higher-order DGFEM",

abstract = "We present a two-mesh Adaptive Mesh Refinement technique for the SN neutral-particle transport equation in 2D. A high-order (up to order 4) Discontinuous Galerkin (DG) finite element discretization is employed with standard upwinding. A suitable Diffusion Synthetic Acceleration (DSA) scheme is derived to precondition the transport solves. The DSA scheme, also based on a DG discretization, is derived directly from the discretized high-order DG SN transport equation. Results are presented to demonstrate the superiority of AMR for DSA-accelerated SN transport solves.",

keywords = "Adaptive mesh refinement, Diffusion synthetic acceleration, Discontinuous Galerkin finite element method, SN transport",

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

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T1 - A two-mesh adaptive mesh refinement technique for SN neutral-particle transport using a higher-order DGFEM

AU - Ragusa, Jean C.

AU - Wang, Yaqi

PY - 2010/4/15

Y1 - 2010/4/15

N2 - We present a two-mesh Adaptive Mesh Refinement technique for the SN neutral-particle transport equation in 2D. A high-order (up to order 4) Discontinuous Galerkin (DG) finite element discretization is employed with standard upwinding. A suitable Diffusion Synthetic Acceleration (DSA) scheme is derived to precondition the transport solves. The DSA scheme, also based on a DG discretization, is derived directly from the discretized high-order DG SN transport equation. Results are presented to demonstrate the superiority of AMR for DSA-accelerated SN transport solves.

AB - We present a two-mesh Adaptive Mesh Refinement technique for the SN neutral-particle transport equation in 2D. A high-order (up to order 4) Discontinuous Galerkin (DG) finite element discretization is employed with standard upwinding. A suitable Diffusion Synthetic Acceleration (DSA) scheme is derived to precondition the transport solves. The DSA scheme, also based on a DG discretization, is derived directly from the discretized high-order DG SN transport equation. Results are presented to demonstrate the superiority of AMR for DSA-accelerated SN transport solves.

KW - Adaptive mesh refinement

KW - Diffusion synthetic acceleration

KW - Discontinuous Galerkin finite element method

KW - SN transport

UR - https://www.scopus.com/pages/publications/76749156671

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DO - 10.1016/j.cam.2009.12.020

M3 - Article

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SN - 0377-0427

VL - 233

SP - 3178

EP - 3188

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 12

ER -

A two-mesh adaptive mesh refinement technique for S_N neutral-particle transport using a higher-order DGFEM

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Keywords

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