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) identifier identifier

  • 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.