Copy For Citation
Hacat G., Çıbık A. B., Yılmaz F. N., Kaya Merdan S.
Journal of Computational and Applied Mathematics, vol.436, 2024 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
436
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Publication Date:
2024
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Doi Number:
10.1016/j.cam.2023.115419
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Journal Name:
Journal of Computational and Applied Mathematics
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
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Keywords:
Leray-α, Navier–Stokes equations, Optimal control problem, Optimality conditions
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Middle East Technical University Affiliated:
Yes
Abstract
This study considers semi-discrete optimal control problem of Navier–Stokes equations which are regularized by the Leray-α model. After deriving optimality conditions, a priori error estimates of all fluid variables are investigated under regularity assumptions. Several numerical tests are given to affirm the theoretical findings and expose the effectiveness of the optimal control.