Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes

For the parallel solution of structural finite element problem with non-matching multi-domains, a nonmatched finite element tearing and interconnectiong (FETI) parallel algorithm is proposed based on L-FETI method by introducing the frame node force and modifying the frame displacement compatibility...

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Format: Article
Language:zho
Published: EDP Sciences 2019-08-01
Series:Xibei Gongye Daxue Xuebao
Subjects:
Online Access:https://www.jnwpu.org/articles/jnwpu/full_html/2019/04/jnwpu2019374p650/jnwpu2019374p650.html
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collection DOAJ
description For the parallel solution of structural finite element problem with non-matching multi-domains, a nonmatched finite element tearing and interconnectiong (FETI) parallel algorithm is proposed based on L-FETI method by introducing the frame node force and modifying the frame displacement compatibility condition and the load balance condition. Based on the radial basis functions (RBF) interpolation technique, the data transfer of internal force and displacement between the neighboring subdomains has a unified matrix format and is easy to program by introducing a local coordinate system into the non-matching interfaces. Taking the finite element model for plate bending problem with four subdomains as an example, two kinds of multi-domains models, matching and non-matching meshes, are constructed respectively. The numerical results show that the out-of-plane deflection of the same nodes on the domain decomposition frame is in a good agreement, which shows that the present method is reasonable and effective for solving the parallel non-matching multi-domains model.
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spelling doaj.art-417e84a6bf2c4bea8e7cd3425c9e9abd2023-10-02T10:49:24ZzhoEDP SciencesXibei Gongye Daxue Xuebao1000-27582609-71252019-08-0137465065510.1051/jnwpu/20193740650jnwpu2019374p650Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes01School of Aeronautics, Northwestern Polytechnical UniversitySchool of Aeronautics, Northwestern Polytechnical UniversityFor the parallel solution of structural finite element problem with non-matching multi-domains, a nonmatched finite element tearing and interconnectiong (FETI) parallel algorithm is proposed based on L-FETI method by introducing the frame node force and modifying the frame displacement compatibility condition and the load balance condition. Based on the radial basis functions (RBF) interpolation technique, the data transfer of internal force and displacement between the neighboring subdomains has a unified matrix format and is easy to program by introducing a local coordinate system into the non-matching interfaces. Taking the finite element model for plate bending problem with four subdomains as an example, two kinds of multi-domains models, matching and non-matching meshes, are constructed respectively. The numerical results show that the out-of-plane deflection of the same nodes on the domain decomposition frame is in a good agreement, which shows that the present method is reasonable and effective for solving the parallel non-matching multi-domains model.https://www.jnwpu.org/articles/jnwpu/full_html/2019/04/jnwpu2019374p650/jnwpu2019374p650.htmlparallel solutionnon-matching meshesfeti algorithmdomain decompositionrbf interpolation
spellingShingle Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes
Xibei Gongye Daxue Xuebao
parallel solution
non-matching meshes
feti algorithm
domain decomposition
rbf interpolation
title Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes
title_full Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes
title_fullStr Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes
title_full_unstemmed Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes
title_short Study on Parallel Numerical Calculation of Structural Domain Decomposition with Non-Matching Meshes
title_sort study on parallel numerical calculation of structural domain decomposition with non matching meshes
topic parallel solution
non-matching meshes
feti algorithm
domain decomposition
rbf interpolation
url https://www.jnwpu.org/articles/jnwpu/full_html/2019/04/jnwpu2019374p650/jnwpu2019374p650.html