From Domain Decomposition to Model Reduction for Large Nonlinear Structures
The numerical simulation of multiscale and multiphysics problems requires efficient tools for spatial localization and model reduction. A general strategy combining Domain Decomposition and Nonuniform Transformation Field Analysis (NTFA) is proposed herein for the simulation of nuclear fuel assembli...
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| Format: | Article |
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Académie des sciences
2023-05-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.168/ |
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| _version_ | 1825206025329836032 |
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| author | Leturcq, Bertrand Le Tallec, Patrick |
| author_facet | Leturcq, Bertrand Le Tallec, Patrick |
| author_sort | Leturcq, Bertrand |
| collection | DOAJ |
| description | The numerical simulation of multiscale and multiphysics problems requires efficient tools for spatial localization and model reduction. A general strategy combining Domain Decomposition and Nonuniform Transformation Field Analysis (NTFA) is proposed herein for the simulation of nuclear fuel assemblies at the scale of a full nuclear reactor. The model at subdomain level solves the full elastic problem but with a reduced nonlinear loading, based on simplified boundary conditions, reduced creep flow rules, projected sign preserving contact conditions, and a NTFA like reduced friction law to get the evolution of each slipping mode. With this loading reduction, the local solution can be explicitly obtained from a small set of precomputed elementary elastic solutions. The numerical tests indicate that considerable cost reduction (a factor of 50 to 1000) can be achieved while preserving engineering accuracy. |
| format | Article |
| id | doaj-art-a2bd62cf542b4c3fb96e2e5ea49f1815 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-a2bd62cf542b4c3fb96e2e5ea49f18152025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-05-01351S157358910.5802/crmeca.16810.5802/crmeca.168From Domain Decomposition to Model Reduction for Large Nonlinear StructuresLeturcq, Bertrand0Le Tallec, Patrick1Université Paris-Saclay, CEA, Service d’études mécaniques et thermiques, 91191 Gif-sur-Yvette, FranceM3DISIM/LMS, École Polytechnique, CNRS, Institut Polytechnique de Paris, 91128 Palaiseau, FranceThe numerical simulation of multiscale and multiphysics problems requires efficient tools for spatial localization and model reduction. A general strategy combining Domain Decomposition and Nonuniform Transformation Field Analysis (NTFA) is proposed herein for the simulation of nuclear fuel assemblies at the scale of a full nuclear reactor. The model at subdomain level solves the full elastic problem but with a reduced nonlinear loading, based on simplified boundary conditions, reduced creep flow rules, projected sign preserving contact conditions, and a NTFA like reduced friction law to get the evolution of each slipping mode. With this loading reduction, the local solution can be explicitly obtained from a small set of precomputed elementary elastic solutions. The numerical tests indicate that considerable cost reduction (a factor of 50 to 1000) can be achieved while preserving engineering accuracy.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.168/Model reductionDomain decompositionNuclear fuel assembliescreepcontact |
| spellingShingle | Leturcq, Bertrand Le Tallec, Patrick From Domain Decomposition to Model Reduction for Large Nonlinear Structures Comptes Rendus. Mécanique Model reduction Domain decomposition Nuclear fuel assemblies creep contact |
| title | From Domain Decomposition to Model Reduction for Large Nonlinear Structures |
| title_full | From Domain Decomposition to Model Reduction for Large Nonlinear Structures |
| title_fullStr | From Domain Decomposition to Model Reduction for Large Nonlinear Structures |
| title_full_unstemmed | From Domain Decomposition to Model Reduction for Large Nonlinear Structures |
| title_short | From Domain Decomposition to Model Reduction for Large Nonlinear Structures |
| title_sort | from domain decomposition to model reduction for large nonlinear structures |
| topic | Model reduction Domain decomposition Nuclear fuel assemblies creep contact |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.168/ |
| work_keys_str_mv | AT leturcqbertrand fromdomaindecompositiontomodelreductionforlargenonlinearstructures AT letallecpatrick fromdomaindecompositiontomodelreductionforlargenonlinearstructures |