This paper explores an iterative 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 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.

Ballarin, F., Lee, S., Yi, S., Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity, <<RESULTS IN APPLIED MATHEMATICS>>, 2024; 21 (N/A): 100430-N/A. [doi:10.1016/j.rinam.2023.100430] [https://hdl.handle.net/10807/260054]

Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity

Ballarin, Francesco
;
2024

Abstract

This paper explores an iterative 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 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.
2024
Inglese
Ballarin, F., Lee, S., Yi, S., Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity, <<RESULTS IN APPLIED MATHEMATICS>>, 2024; 21 (N/A): 100430-N/A. [doi:10.1016/j.rinam.2023.100430] [https://hdl.handle.net/10807/260054]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/260054
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