Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913186350891008 |
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| author | Ballarin, Francesco Lee, Sanghyun Yi, Son-Young |
| author_facet | Ballarin, Francesco Lee, Sanghyun Yi, Son-Young |
| contents | This paper explores an iterative coupling approach to solve linear thermo-poroelasticity problems, with its application as a high-fidelity discretization utilizing finite elements during the training of projection-based reduced order models. One of the main challenges in addressing coupled multi-physics problems is the complexity and computational expenses involved. In this study, we introduce a decoupled iterative solution approach, integrated with reduced order modeling, aimed at augmenting the efficiency of the computational algorithm. The iterative coupling technique we employ builds upon the established fixed-stress splitting scheme that has been extensively investigated for Biot's poroelasticity. By leveraging solutions derived from this coupled iterative scheme, the reduced order model employs an additional Galerkin projection onto a reduced basis space formed by a small number of modes obtained through proper orthogonal decomposition. The effectiveness of the proposed algorithm is demonstrated through numerical experiments, showcasing its computational prowess. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01004 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity Ballarin, Francesco Lee, Sanghyun Yi, Son-Young Numerical Analysis This paper explores an iterative coupling approach to solve linear thermo-poroelasticity problems, with its application as a high-fidelity discretization utilizing finite elements during the training of projection-based reduced order models. One of the main challenges in addressing coupled multi-physics problems is the complexity and computational expenses involved. In this study, we introduce a decoupled iterative solution approach, integrated with reduced order modeling, aimed at augmenting the efficiency of the computational algorithm. The iterative coupling technique we employ builds upon the established fixed-stress splitting scheme that has been extensively investigated for Biot's poroelasticity. By leveraging solutions derived from this coupled iterative scheme, the reduced order model employs an additional Galerkin projection onto a reduced basis space formed by a small number of modes obtained through proper orthogonal decomposition. The effectiveness of the proposed algorithm is demonstrated through numerical experiments, showcasing its computational prowess. |
| title | Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2309.01004 |