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Shape optimization for the Stokes system with threshold leak boundary conditions

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  • Haslinger, Jaroslav
  • Mäkinen, Raino A.E.

Abstract

This paper discusses the process of optimizing the shape of systems that are controlled by the Stokes flow with threshold leak boundary conditions. In the theoretical part it focuses on studying the stability of solutions to the state problem in relation to a specific set of domains. In order to facilitate computation, the slip term and impermeability condition are regulated. In the computational part, the optimized portion of the boundary is defined using Bézier polynomials, in order to create a finite dimensional optimization problem. The paper also includes numerical examples to demonstrate the computational efficiency of this approach.

Suggested Citation

  • Haslinger, Jaroslav & Mäkinen, Raino A.E., 2024. "Shape optimization for the Stokes system with threshold leak boundary conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 180-196.
    • Handle: RePEc:eee:matcom:v:221:y:2024:i:c:p:180-196
    DOI: 10.1016/j.matcom.2024.03.002
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    References listed on IDEAS

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    1. Jaroslav Haslinger & Radek Kučera & Kristina Motyčková & Václav Šátek, 2021. "Numerical Modeling of the Leak through Semipermeable Walls for 2D/3D Stokes Flow: Experimental Scalability of Dual Algorithms," Mathematics, MDPI, vol. 9(22), pages 1-24, November.
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