Model order reduction in viscoplastic flow modelling using proper orthogonal decomposition and neural networks

Ekaterina A. Muravleva, Ivan V. Oseledets, Dmitry A. Koroteev

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    This document provides information and instructions for preparing a Full Paper to be included in the Proceedings of ECCM ECFD 2018 Conference. e present a method to construct reduced-order models for duct flows of Bingham media. Our method is based on proper orthogonal decomposition (POD) to find a low-dimensional approximation to the velocity and artificial neural network to approximate the coefficients of a given solution in the constructed POD basis. We use well-established augmented Lagrangian method and finite-element discretization in the “offline” stage. We show that the resulting approximation has a reasonable accuracy, but the evaluation of the approximate solution several orders of magnitude times faster.

    Original languageEnglish
    Title of host publicationProceedings of the 6th European Conference on Computational Mechanics
    Subtitle of host publicationSolids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018
    EditorsRoger Owen, Rene de Borst, Jason Reese, Chris Pearce
    PublisherInternational Centre for Numerical Methods in Engineering, CIMNE
    Pages2475-2487
    Number of pages13
    ISBN (Electronic)9788494731167
    Publication statusPublished - 2020
    Event6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 - Glasgow, United Kingdom
    Duration: 11 Jun 201815 Jun 2018

    Publication series

    NameProceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018

    Conference

    Conference6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018
    Country/TerritoryUnited Kingdom
    CityGlasgow
    Period11/06/1815/06/18

    Keywords

    • Machine learning
    • Neural networks
    • Proper orthogonal decomposition
    • Viscoplastic flows

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