Abstract
In this paper, the shape optimal control for an obstacle immersed in the incompressible fluid governed by Boussinesq equations is investigated. The purpose of this work is to find the optimal shape that minimizes two types of cost functionals. The continuous adjoint method is applied to formulate and implement the nonlinear and strongly coupled system, which can avoid the differentiation of the state system. Then, the Eulerian derivative of the cost functional is derived by involving a Lagrangian functional based on the function space parametrization technique. Finally, the numerical examples of the shape inverse problem and the minimization of energy dissipation are presented to verify the feasibility and effectiveness of the proposed method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
