A strategy with reduced models dedicated to parametrized nonlinear strongly coupled thermo-poroelasticity problems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909755523465216 |
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| author | Foulatier, Elise Néron, David Louf, François Boucard, Pierre-Alain |
| author_facet | Foulatier, Elise Néron, David Louf, François Boucard, Pierre-Alain |
| contents | This paper offers an approach to deal with parametrized nonlinear strongly coupled thermo-poroelasticity problems. The approach uses the LATIN-PGD method and extends previous work in multiphysics problems. Proper Generalized Decomposition (PGD) allows the building of independent reduced-order bases for each physics. This point is particularly appropriate for thermo-poroelasticity problems whose physics present different dynamics. In parametrized problems dealing with material variability, a new computation is initialized with the result of a previous simulation to speed up the computation times. As a first step, the solver is validated on a standard benchmark in thermo-poroelasticity. The solver shows good performance even in the nonlinear frame. Then, the approach for parametrized problems is addressed on an academic problem and a more complex one, which is part of an industrial process. The results show that the method is effective and less time-consuming than naive approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19885 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A strategy with reduced models dedicated to parametrized nonlinear strongly coupled thermo-poroelasticity problems Foulatier, Elise Néron, David Louf, François Boucard, Pierre-Alain Classical Physics This paper offers an approach to deal with parametrized nonlinear strongly coupled thermo-poroelasticity problems. The approach uses the LATIN-PGD method and extends previous work in multiphysics problems. Proper Generalized Decomposition (PGD) allows the building of independent reduced-order bases for each physics. This point is particularly appropriate for thermo-poroelasticity problems whose physics present different dynamics. In parametrized problems dealing with material variability, a new computation is initialized with the result of a previous simulation to speed up the computation times. As a first step, the solver is validated on a standard benchmark in thermo-poroelasticity. The solver shows good performance even in the nonlinear frame. Then, the approach for parametrized problems is addressed on an academic problem and a more complex one, which is part of an industrial process. The results show that the method is effective and less time-consuming than naive approaches. |
| title | A strategy with reduced models dedicated to parametrized nonlinear strongly coupled thermo-poroelasticity problems |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2508.19885 |