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- Title
An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems.
- Authors
Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso
- Abstract
We propose a projection‐based monolithic model order reduction procedure for a class of problems in nonlinear mechanics with internal variables. The work is motivated by applications to thermo‐hydro‐mechanical (THM) systems for radioactive waste disposal. THM equations model the behavior 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 toward 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.
- Subjects
NONLINEAR mechanics; PORE water pressure; GEOLOGICAL repositories; SURFACE of the earth; HEAT flux; RADIOACTIVE waste disposal
- Publication
International Journal for Numerical Methods in Engineering, 2022, Vol 123, Issue 12, p2894
- ISSN
0029-5981
- Publication type
Article
- DOI
10.1002/nme.6964