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Shifted proper orthogonal decomposition and artificial neural networks for time-continuous reduced order models of transport-dominated systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F22%3A00560836" target="_blank" >RIV/61388998:_____/22:00560836 - isvavai.cz</a>

  • Result on the web

    <a href="http://www2.it.cas.cz/fm2015/im/admin/showfile/data/my/Papers/2022/16-TPFM2022.pdf" target="_blank" >http://www2.it.cas.cz/fm2015/im/admin/showfile/data/my/Papers/2022/16-TPFM2022.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14311/TPFM.2022.016" target="_blank" >10.14311/TPFM.2022.016</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Shifted proper orthogonal decomposition and artificial neural networks for time-continuous reduced order models of transport-dominated systems

  • Original language description

    Transport-dominated systems are pervasive in both industrial and scientific applications. However, they provide a challenge for common mode-based model order reduction (MOR) approaches, as they often require a large number of linear modes to obtain a sufficiently accurate reduced order model (ROM). In this work, we utilize the shifted proper orthogonal decomposition (sPOD), a methodology tailored for MOR of transport-dominated systems, and combine it with an interpolation based on artificial neural networks (ANN) to obtain a time-continuous ROM usable in engineering practice. The resulting MOR framework is purely data-driven, i.e., it does not require any information on the full order model (FOM) structure, which extends its applicability. On the other hand, compared to the standard projection-based approaches to MOR, the dimensionality reduction utilizing sPOD and ANN is significantly more computationally expensive since it requires a solution of high-dimensional optimization problems.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20302 - Applied mechanics

Result continuities

  • Project

    <a href="/en/project/EF15_003%2F0000493" target="_blank" >EF15_003/0000493: Centre of Excellence for Nonlinear Dynamic Behaviour of Advanced Materials in Engineering</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Topical Problems of Fluid Mechanics 2022

  • ISBN

    978-80-87012-77-2

  • ISSN

    2336-5781

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    111-118

  • Publisher name

    Ústav termomechaniky AV ČR, v. v. i.

  • Place of publication

    Praha

  • Event location

    Praha

  • Event date

    Feb 16, 2022

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

    001235659500016