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An a posteriori time error indicator for adaptive flow solvers.

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Title: An a posteriori time error indicator for adaptive flow solvers.
Authors: Sekhavati, Javad1,2 (AUTHOR) javad.sekhavati@upc.edu, Codina, Ramon1,2 (AUTHOR) ramon.codina@upc.edu, Baiges, Joan1,2 (AUTHOR) joan.baiges@upc.edu, Martínez-Suárez, Ignacio1,2 (AUTHOR) ignacio.martinez.suarez@upc.edu
Source: Journal of Computational Physics. Oct2025, Vol. 539, pN.PAG-N.PAG. 1p.
Subjects: Unsteady flow (Aerodynamics), Incompressible flow, Empirical research, Numerical analysis, Finite element method, Computer simulation, Computational fluid dynamics
Abstract: This study introduces a novel a posteriori time error indicator applied to a finite element flow solver. The proposed approach integrates stabilized finite element techniques in space and backward differentiation formula (BDF) schemes in time, adjusting time step sizes dynamically in unsteady flow simulations. The developed time error indicator and time adaptivity algorithm encompass monolithic and fractional step algorithms. In the case of fractional step algorithms, an additional term is incorporated in the error indicator to account for the error caused by the splitting. A series of numerical examples are presented to validate the reliability and robustness of the time error indicator across benchmark problems involving incompressible and isentropic compressible flows. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 187321408
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: An a posteriori time error indicator for adaptive flow solvers.
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  Data: <searchLink fieldCode="AR" term="%22Sekhavati%2C+Javad%22">Sekhavati, Javad</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> javad.sekhavati@upc.edu</i><br /><searchLink fieldCode="AR" term="%22Codina%2C+Ramon%22">Codina, Ramon</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> ramon.codina@upc.edu</i><br /><searchLink fieldCode="AR" term="%22Baiges%2C+Joan%22">Baiges, Joan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> joan.baiges@upc.edu</i><br /><searchLink fieldCode="AR" term="%22Martínez-Suárez%2C+Ignacio%22">Martínez-Suárez, Ignacio</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> ignacio.martinez.suarez@upc.edu</i>
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  Data: <searchLink fieldCode="DE" term="%22Unsteady+flow+%28Aerodynamics%29%22">Unsteady flow (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Incompressible+flow%22">Incompressible flow</searchLink><br /><searchLink fieldCode="DE" term="%22Empirical+research%22">Empirical research</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink>
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  Data: This study introduces a novel a posteriori time error indicator applied to a finite element flow solver. The proposed approach integrates stabilized finite element techniques in space and backward differentiation formula (BDF) schemes in time, adjusting time step sizes dynamically in unsteady flow simulations. The developed time error indicator and time adaptivity algorithm encompass monolithic and fractional step algorithms. In the case of fractional step algorithms, an additional term is incorporated in the error indicator to account for the error caused by the splitting. A series of numerical examples are presented to validate the reliability and robustness of the time error indicator across benchmark problems involving incompressible and isentropic compressible flows. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.jcp.2025.114258
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Unsteady flow (Aerodynamics)
        Type: general
      – SubjectFull: Incompressible flow
        Type: general
      – SubjectFull: Empirical research
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Computational fluid dynamics
        Type: general
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      – TitleFull: An a posteriori time error indicator for adaptive flow solvers.
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            NameFull: Sekhavati, Javad
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            NameFull: Codina, Ramon
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            NameFull: Baiges, Joan
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            NameFull: Martínez-Suárez, Ignacio
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              Text: Oct2025
              Type: published
              Y: 2025
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              Value: 539
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