Optimal Control problems of NS-α and NS-ωturbulencemodels: analysis and numerical tests

Date

2025-01-30

Author

Hacat, Gulnur
Cibik, Aytekin
YILMAZ, FİKRİYE NURAY
Kaya Merdan, Songül

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In this study, optimal control problems for the Navier-Stokes-alpha(NS-alpha) model andthe Navier-Stokes-omega(NS-omega) model are considered. Optimality conditions are derived,and semi-discrete a priori error estimates for all fluid variables are analyzed for bothmodels. Numerical tests are performed to verify the accuracy of the theoretical findingsand to demonstrate the effectiveness of optimal control. Given the proven utility ofthe NS-alpha and NS-omega models in fluid dynamics, this study addresses a significant gapby exploring the potential of optimal control to enhance the performance, efficiency,safety, and environmental impact of fluid systems.

URI

https://hdl.handle.net/11511/113641

Journal

NUMERICAL ALGORITHMS

DOI

https://doi.org/10.1007/s11075-025-02013-z

Collections

Department of Mathematics, Article

Citation Formats

G. Hacat, A. Cibik, F. N. YILMAZ, and S. Kaya Merdan, “Optimal Control problems of NS-α and NS-ωturbulencemodels: analysis and numerical tests,” NUMERICAL ALGORITHMS, pp. 0–0, 2025, Accessed: 00, 2025. [Online]. Available: https://hdl.handle.net/11511/113641.