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ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352
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A Multi-Time-Scale Strategy for Multiphysics Problems: Application to Poroelasticity
ABSTRAKT
Usually, multiphysics phenomena and coupled-field problems lead to computationally intensive structural analysis. Strategies to keep these problems computationally affordable are of special interest. For coupled fluid-structure problems, for instance, partitioned procedures and staggered algorithms are often preferable to direct analysis.
In a previous article, a new strategy derived from the LArge Time INcrement (LATIN) method was described. This strategy was applied to the consolidation of saturated porous soils, which is a highly coupled fluid-solid problem. The feasibility of the method and the comparison of its performance with that of a standard partitioning scheme (the so-called ISPP method) was presented.
Here, we go one step further and use the LATIN method to take into account the different time scales that usually arise from the different physics. We propose a multi-time-scale strategy, which improves the existing method.
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Chinesta Francisco, Ladeveze Pierre, Cueto Elías, A Short Review on Model Order Reduction Based on Proper Generalized Decomposition, Archives of Computational Methods in Engineering, 18, 4, 2011. Crossref
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Ladevèze Pierre, Néron David, Gosselet Pierre, On a mixed and multiscale domain decomposition method, Computer Methods in Applied Mechanics and Engineering, 196, 8, 2007. Crossref
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Néron David, Ladevèze Pierre, Proper Generalized Decomposition for Multiscale and Multiphysics Problems, Archives of Computational Methods in Engineering, 17, 4, 2010. Crossref
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Chinesta Francisco, Huerta Antonio, Rozza Gianluigi, Willcox Karen, Model Reduction Methods, in Encyclopedia of Computational Mechanics Second Edition, 2017. Crossref
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Dureisseix David, Two examples of partitioning approaches for multiscale and multiphysics coupled problems, European Journal of Computational Mechanics, 17, 5-7, 2008. Crossref
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Néron David, Ladevèze Pierre, Dureisseix David, Schrefler Bernard A., Accounting for Nonlinear Aspects in Multiphysics Problems: Application to Poroelasticity, in Computational Science - ICCS 2004, 3039, 2004. Crossref
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Néron David, Ladevèze Pierre, Schrefler Bernhard A., A time-space framework suitable for the LATIN computational strategy for multiphysics problems, in III European Conference on Computational Mechanics, 2006. Crossref
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Scanff R., Nachar S., Boucard P. -A., Néron D., A Study on the LATIN-PGD Method: Analysis of Some Variants in the Light of the Latest Developments, Archives of Computational Methods in Engineering, 28, 5, 2021. Crossref
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Scanff Ronan, Néron David, Ladevèze Pierre, Barabinot Philippe, Cugnon Frédéric, Delsemme Jean-Pierre, Weakly-invasive LATIN-PGD for solving time-dependent non-linear parametrized problems in solid mechanics, Computer Methods in Applied Mechanics and Engineering, 396, 2022. Crossref
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