Optimal Control problems of NS-$$\alpha $$ and NS-$$\omega $$ turbulence models: analysis and numerical tests
Yazarlar (4)
Öğr. Gör. Dr. Gülnur HAÇAT YILMAZOĞLU
Yalova Üniversitesi, Türkiye
Aytekin Çıbık
Gazi Üniversitesi, Türkiye
Fikriye Yılmaz
Gazi Üniversitesi, Türkiye
Songül Kaya
Middle East Technical University (Metu), Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| 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 |
| 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-α (NS-α) model and the Navier-Stokes-ω (NS-ω) 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-α and NS-ω 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 | |
| SCOPUS | 1 |
| Google Scholar | 3 |