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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]
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Database: Engineering Source
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. [ABSTRACT FROM AUTHOR]
ISSN:00219991
DOI:10.1016/j.jcp.2025.114258