TY - JOUR
T1 - Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity
AU - Ballarin, Francesco
AU - Lee, Sanghyun
AU - Yi, Son-Young
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
KW - Fixed-stress
KW - Iterative
KW - Linear thermo-poroelasticity
KW - Proper orthogonal decomposition
KW - Reduced order modeling
KW - Fixed-stress
KW - Iterative
KW - Linear thermo-poroelasticity
KW - Proper orthogonal decomposition
KW - Reduced order modeling
UR - http://hdl.handle.net/10807/260054
U2 - 10.1016/j.rinam.2023.100430
DO - 10.1016/j.rinam.2023.100430
M3 - Article
SN - 2590-0374
VL - 21
SP - 100430-N/A
JO - Results in Applied Mathematics
JF - Results in Applied Mathematics
ER -