dc.contributor
Universitat Politècnica de Catalunya. Doctorat en Anàlisi Estructural
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
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Universitat Politècnica de Catalunya. Doctorat en Enginyeria Civil
dc.contributor
Universitat Politècnica de Catalunya. ANiComp - Anàlisi Numèrica i Computació Científica
dc.contributor.author
Sekhavati, Javad
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Codina, Ramon
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Baiges Aznar, Joan
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Martínez Suárez, Ignacio
dc.identifier
Sekhavati, J. [et al.]. An a posteriori time error indicator for adaptive flow solvers. «Journal of computational physics», Octubre 2025, vol. 539, núm. article 114258.
dc.identifier
https://hdl.handle.net/2117/441919
dc.identifier
10.1016/j.jcp.2025.114258
dc.description.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.
dc.description.abstract
J. Sekhavati gratefully acknowledges the support received from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No. 955923. R. Codina gratefully acknowledges the support received from the ICREA Acadèmia Program, from the Catalan Government. I. Martínez-Suárez gratefully acknowledges the support received from the Agència de Gestió d’Ajuts i de Recerca (AGAUR) through the predoctoral FI grant 2022-FI-B-00517.
dc.description.abstract
Peer Reviewed
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Postprint (published version)
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application/pdf
dc.relation
https://www.sciencedirect.com/science/article/pii/S0021999125005418
dc.relation
info:eu-repo/grantAgreement/EC/H2020/955923/EU/Stability and Sensitivity Methods for Flow Control and Industrial Design/SSeCoID
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PDC2022-133230-I00/ES/BETWEEN & WITHIN: SCIENCE BASED ADVICE/
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
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Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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Time error indicator
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Stabilized finite element methods
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Fractional step schemes
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Variational multiscale method
dc.title
An a posteriori time error indicator for adaptive flow solvers
