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

Francesco Ballarin*, Sanghyun Lee, Son-Young Yi

*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivistaArticolo in rivista

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.
Lingua originaleEnglish
pagine (da-a)100430-N/A
RivistaResults in Applied Mathematics
Volume21
DOI
Stato di pubblicazionePubblicato - 2024

Keywords

  • Fixed-stress
  • Iterative
  • Linear thermo-poroelasticity
  • Proper orthogonal decomposition
  • Reduced order modeling

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