On an optimal control problem of the Leray-α model

Hacat, Gülnur; Çıbık, Aytekin; Yılmaz, Fikriye; Kaya Merdan, SONGÜL

doi:10.1016/j.cam.2023.115419

On an optimal control problem of the Leray-α model

Hacat G., Çıbık A. B., Yılmaz F. N., Kaya Merdan S.

Journal of Computational and Applied Mathematics, vol.436, 2024 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 436
Publication Date: 2024
Doi Number: 10.1016/j.cam.2023.115419
Journal Name: Journal of Computational and Applied Mathematics
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
Keywords: Leray-α, Navier–Stokes equations, Optimal control problem, Optimality conditions
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.