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A projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems
arXiv - CS - Numerical Analysis Pub Date : 2021-09-13 , DOI: arxiv-2109.05786
Angelo Iollo, Giulia Sambataro, Tommaso Taddei

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.

中文翻译:

一种基于投影的内变量非线性力学模型约简方法:在热-水-机械系统中的应用

我们针对具有内部变量的非线性力学中的一类问题提出了基于投影的整体模型降阶 (MOR) 程序。这项工作的动机是应用于放射性废物处理的热水机械 (THM) 系统。THM 方程模拟了地质处置库附近的温度、孔隙水压力和固体位移的行为,这些处置库包含放射性废物并导致向地球表面的显着热通量。我们开发了一种基于 POD-Greedy 方法的自适应采样策略,并且我们开发了一种基于元素的经验正交超简化程序以降低组装成本。我们展示了二维 THM 系统的数值结果来说明和验证所提出的方法。
更新日期:2021-09-14
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