Optimal Control problems of NS-$$\alpha $$ and NS-$$\omega $$ turbulence models: analysis and numerical tests
Yazarlar (4)
Aytekin Çıbık
Gazi Üniversitesi, Türkiye
Fikriye Yılmaz Gazi Üniversitesi, Türkiye
Songül Kaya
Middle East Technical University (Metu), Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Numerical Algorithms (Q1)
Dergi ISSN 1017-1398 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2025
Kabul Tarihi 14-01-2025 Yayınlanma Tarihi 30-01-2025
Cilt / Sayı / Sayfa 101 / 1 / 477–507 DOI 10.1007/s11075-025-02013-z
Makale Linki https://doi.org/10.1007/s11075-025-02013-z
Özet
In this study, optimal control problems for the Navier-Stokes- (NS-) model and the Navier-Stokes- (NS-) model are considered. Optimality conditions are derived, and semi-discrete a priori error estimates for all fluid variables are analyzed for both models. Numerical tests are performed to verify the accuracy of the theoretical findings and to demonstrate the effectiveness of optimal control. Given the proven utility of the NS- and NS- models in fluid dynamics, this study addresses a significant gap by exploring the potential of optimal control to enhance the performance, efficiency, safety, and environmental impact of fluid systems.
Anahtar Kelimeler
finite element method | Navier-Stokes equations | NS-α turbulence model | NS-ω turbulence model | optimal control
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 3
Scopus 1
Optimal Control problems of NS-$$\alpha $$ and NS-$$\omega $$ turbulence models: analysis and numerical tests

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