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Title: Array-based Hierarchical Mesh Generation in Parallel

Abstract

In this paper, we describe an array-based hierarchical mesh generation capability through uniform refinement of unstructured meshes for efficient solution of PDE's using finite element methods and multigrid solvers. A multi-degree, multi-dimensional and multi-level framework is designed to generate the nested hierarchies from an initial mesh that can be used for a number of purposes such as multi-level methods to generating large meshes. The capability is developed under the parallel mesh framework “Mesh Oriented dAtaBase” a.k.a MOAB. We describe the underlying data structures and algorithms to generate such hierarchies and present numerical results for computational efficiency and mesh quality. In conclusion, we also present results to demonstrate the applicability of the developed capability to a multigrid finite-element solver.

Authors:
 [1];  [1];  [2];  [1];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Stony Brook Univ., Stony Brook, NY (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1391879
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Procedia Engineering
Additional Journal Information:
Journal Volume: 124; Journal Issue: C; Journal ID: ISSN 1877-7058
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; half-facet; hierarchical meshes; multigrid methods; parallel computation; uniform mesh refinement

Citation Formats

Ray, Navamita, Grindeanu, Iulian, Zhao, Xinglin, Mahadevan, Vijay, and Jiao, Xiangmin. Array-based Hierarchical Mesh Generation in Parallel. United States: N. p., 2015. Web. https://doi.org/10.1016/j.proeng.2015.10.140.
Ray, Navamita, Grindeanu, Iulian, Zhao, Xinglin, Mahadevan, Vijay, & Jiao, Xiangmin. Array-based Hierarchical Mesh Generation in Parallel. United States. https://doi.org/10.1016/j.proeng.2015.10.140
Ray, Navamita, Grindeanu, Iulian, Zhao, Xinglin, Mahadevan, Vijay, and Jiao, Xiangmin. Tue . "Array-based Hierarchical Mesh Generation in Parallel". United States. https://doi.org/10.1016/j.proeng.2015.10.140. https://www.osti.gov/servlets/purl/1391879.
@article{osti_1391879,
title = {Array-based Hierarchical Mesh Generation in Parallel},
author = {Ray, Navamita and Grindeanu, Iulian and Zhao, Xinglin and Mahadevan, Vijay and Jiao, Xiangmin},
abstractNote = {In this paper, we describe an array-based hierarchical mesh generation capability through uniform refinement of unstructured meshes for efficient solution of PDE's using finite element methods and multigrid solvers. A multi-degree, multi-dimensional and multi-level framework is designed to generate the nested hierarchies from an initial mesh that can be used for a number of purposes such as multi-level methods to generating large meshes. The capability is developed under the parallel mesh framework “Mesh Oriented dAtaBase” a.k.a MOAB. We describe the underlying data structures and algorithms to generate such hierarchies and present numerical results for computational efficiency and mesh quality. In conclusion, we also present results to demonstrate the applicability of the developed capability to a multigrid finite-element solver.},
doi = {10.1016/j.proeng.2015.10.140},
journal = {Procedia Engineering},
number = C,
volume = 124,
place = {United States},
year = {2015},
month = {11}
}

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