IOLLO, Angelo; SAMBATARO, Giulia; TADDEI, Tommaso

doi:10.48550/arXiv.2109.05786

Metadatos

Licencia de uso del documento

IOLLO, Angelo
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

SAMBATARO, Giulia
MATHematics for MatERIALS [MATHERIALS]

TADDEI, Tommaso
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

Idioma

Autre document

Este ítem está publicado en

2021

arXiv

Resumen en inglés

We propose a projection-based monolithic model order reduction (MOR) procedure for a class of problems in nonlinear mechanics with internal variables. The work is is motivated by applications to thermo-hydro-mechanical (THM) systems for radioactive waste disposal. THM equations model the behaviour of temperature, pore water pressure and solid displacement in the neighborhood of geological repositories, which contain radioactive waste and are responsible for a significant thermal flux towards the Earth's surface. We develop an adaptive sampling strategy based on the POD-Greedy method, and we develop an element-wise empirical quadrature hyper-reduction procedure to reduce assembling costs. We present numerical results for a two-dimensional THM system to illustrate and validate the proposed methodology.< Leer menos

Palabras clave en inglés

Numerical Analysis (math.NA)

FOS: Mathematics

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190402

DOI

http://dx.doi.org/10.48550/arXiv.2109.05786

Proyecto europeo

Accurate Roms for Industrial Applications

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251