Optimal Control problems of NS-α and NS-ω turbulence models: analysis and numerical tests

Haçat G., Çıbık A., YILMAZ F. N., KAYA MERDAN S.

Numerical Algorithms, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s11075-025-02013-z
  • Dergi Adı: Numerical Algorithms
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: finite element method, Navier-Stokes equations, NS-α turbulence model, NS-ω turbulence model, optimal control
  • Gazi Üniversitesi Adresli: Evet

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.