1. Discrete empirical interpolation for hyper‐reduction of hydro‐mechanical problems in groundwater flow through soil
- Author
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Christina Nasika, Pedro Díez, Pierre Gerard, Thierry J. Massart, Sergio Zlotnik, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
- Subjects
Automatic control ,Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC] ,Embankment dams ,Computational Mechanics ,Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC] ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,Geofísica ,Geotechnical Engineering and Engineering Geology ,Control automàtic ,Partially saturated soil ,Geophysics ,Mechanics of Materials ,Coupled hydro-mechanical problem ,70 Mechanics of particles and systems::70Q05 Control of mechanical systems [Classificació AMS] ,General Materials Science ,Reduced basis method ,86 Geophysics [Classificació AMS] ,Strength of materials ,74 Mechanics of deformable solids::74S Numerical methods [Classificació AMS] ,Discrete empirical interpolation ,Resistència de materials - Abstract
This is the peer reviewed version of the following article: Nasika, C. [et al.]. Discrete empirical interpolation for hyper-reduction of hydro-mechanical problems in groundwater flow through soil. "International journal for numerical and analytical methods in geomechanics", 10 Abril 2023, vol. 47, núm. 5, p. 667-693, which has been published in final form at https://onlinelibrary.wiley.com/doi/10.1002/nag.3487. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. The recent surge in the availability of sensor data and computational resources has fostered the development of technologies for optimization, control, and monitoring of large infrastructures, integrating data and numerical modeling. The major bottleneck in this type of technologies is the model response time, since repetitive solutions are typically required. To reduce the computational time, reduced order models (ROMs) are used as surrogates for expensive finite element (FE) simulations enabling the use of complex models in this type of applications. In this work, ROMs are explored for the solution of the fully coupled hydro-mechanical system of equations that governs the water flow through partially saturated soil. The POD-based Reduced Basis Method and the Discrete Empirical Interpolation Method (DEIM), as well as its localized version (LDEIM), are examined in solving a parametrized problem simulating the mechanical loading of an embankment dam. Hydraulic and mechanical soil properties are considered as parameters. It is shown that the combination of these methods results in simulations that require 1/10 to 1/100 of the FE response time. Moreover, the method is shown to yield scaling efficiency gains with increasing problem size.
- Published
- 2023
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