On an optimal control problem of the Leray-α model

Hacat, Guelnur; ÇIBIK, AYTEKİN; Yilmaz, FİKRİYE; Kaya, Songuel

doi:10.1016/j.cam.2023.115419

On an optimal control problem of the Leray-α model

Hacat G., ÇIBIK A. B., Yilmaz F. N., Kaya S.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.436, 2024 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 436
Basım Tarihi: 2024
Doi Numarası: 10.1016/j.cam.2023.115419
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: 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
Gazi Üniversitesi Adresli: Evet

Özet

This study considers semi-discrete optimal control problem of Navier-Stokes equations which are regularized by the Leray-a 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.