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Composite matrix construction for structured grid adaptive mesh refinement

Mark F. Adams, Stephen Cornford Orcid Logo, Daniel F. Martin, Peter McCorquodale

Computer Physics Communications

Swansea University Author: Stephen Cornford Orcid Logo

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DOI (Published version): 10.1016/j.cpc.2019.07.006

Abstract

The solution of elliptic partial differential equations on block-structured meshes is the major computational expense in many real-world problems. For example, solving the elliptic stress balance equation is the most time-consuming computational task when simulating Antarctica with the BISICLES adap...

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Published in: Computer Physics Communications
ISSN: 00104655
Published: 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa51220
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first_indexed 2019-07-25T17:48:26Z
last_indexed 2019-08-15T21:29:08Z
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spelling 2019-08-15T15:39:07.3101325 v2 51220 2019-07-25 Composite matrix construction for structured grid adaptive mesh refinement 17ae00ff2346b8c23d7e2b34341610a4 0000-0003-1844-274X Stephen Cornford Stephen Cornford true false 2019-07-25 SGE The solution of elliptic partial differential equations on block-structured meshes is the major computational expense in many real-world problems. For example, solving the elliptic stress balance equation is the most time-consuming computational task when simulating Antarctica with the BISICLES adaptive mesh ice sheet model. Up till now, BISICLES and other applications based on the Chombo multiphysics library have depended on a geometric multigrid (GMG) method. This paper describes the extension of Chombo to make use of the general purpose algebraic multigrid (AMG) methods available in PETSc (Portable, Extensible Toolkit for Scientific Computation). Tests with the BISICLES model indicate that an AMG method (BoomerAMG) outperforms the GMG method. Journal Article Computer Physics Communications 00104655 31 12 2019 2019-12-31 10.1016/j.cpc.2019.07.006 COLLEGE NANME Geography COLLEGE CODE SGE Swansea University 2019-08-15T15:39:07.3101325 2019-07-25T14:31:40.2724758 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Geography Mark F. Adams 1 Stephen Cornford 0000-0003-1844-274X 2 Daniel F. Martin 3 Peter McCorquodale 4 0051220-07082019135146.pdf amr_comp_gridv2.pdf 2019-08-07T13:51:46.2270000 Output 1554509 application/pdf Accepted Manuscript true 2020-07-23T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng
title Composite matrix construction for structured grid adaptive mesh refinement
spellingShingle Composite matrix construction for structured grid adaptive mesh refinement
Stephen Cornford
title_short Composite matrix construction for structured grid adaptive mesh refinement
title_full Composite matrix construction for structured grid adaptive mesh refinement
title_fullStr Composite matrix construction for structured grid adaptive mesh refinement
title_full_unstemmed Composite matrix construction for structured grid adaptive mesh refinement
title_sort Composite matrix construction for structured grid adaptive mesh refinement
author_id_str_mv 17ae00ff2346b8c23d7e2b34341610a4
author_id_fullname_str_mv 17ae00ff2346b8c23d7e2b34341610a4_***_Stephen Cornford
author Stephen Cornford
author2 Mark F. Adams
Stephen Cornford
Daniel F. Martin
Peter McCorquodale
format Journal article
container_title Computer Physics Communications
publishDate 2019
institution Swansea University
issn 00104655
doi_str_mv 10.1016/j.cpc.2019.07.006
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Geography{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Geography
document_store_str 1
active_str 0
description The solution of elliptic partial differential equations on block-structured meshes is the major computational expense in many real-world problems. For example, solving the elliptic stress balance equation is the most time-consuming computational task when simulating Antarctica with the BISICLES adaptive mesh ice sheet model. Up till now, BISICLES and other applications based on the Chombo multiphysics library have depended on a geometric multigrid (GMG) method. This paper describes the extension of Chombo to make use of the general purpose algebraic multigrid (AMG) methods available in PETSc (Portable, Extensible Toolkit for Scientific Computation). Tests with the BISICLES model indicate that an AMG method (BoomerAMG) outperforms the GMG method.
published_date 2019-12-31T04:03:02Z
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score 10.999524

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