Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems

2013 ◽  
Vol 35 (5) ◽  
pp. B1085-B1104 ◽  
Author(s):  
T. Richter ◽  
T. Wick
Keyword(s):  
Optimal Control ◽  
Parameter Estimation ◽  
Fluid Structure Interaction ◽  
Fluid Structure ◽  
Structure Interaction

scholarly journals Optimal Pressure Boundary Control of Steady Multiscale Fluid-Structure Interaction Shell Model Derived from Koiter Equations

Fluids ◽  
2021 ◽  
Vol 6 (4) ◽  
pp. 149
Author(s):  
Andrea Chierici ◽  
Leonardo Chirco ◽  
Sandro Manservisi
Keyword(s):  
Optimal Control ◽  
Solid Wall ◽  
Fluid Structure Interaction ◽  
Computational Cost ◽  
Robin Boundary Condition ◽  
Design Parameters ◽  
Fluid Structure ◽  
Control Approach ◽  
Structure Interaction ◽  
Fluid Boundary

Fluid-structure interaction (FSI) problems are of great interest, due to their applicability in science and engineering. However, the coupling between large fluid domains and small moving solid walls presents numerous numerical difficulties and, in some configurations, where the thickness of the solid wall can be neglected, one can consider membrane models, which are derived from the Koiter shell equations with a reduction of the computational cost of the algorithm. With this assumption, the FSI simulation is reduced to the fluid equations on a moving mesh together with a Robin boundary condition that is imposed on the moving solid surface. In this manuscript, we are interested in the study of inverse FSI problems that aim to achieve an objective by changing some design parameters, such as forces, boundary conditions, or geometrical domain shapes. We study the inverse FSI membrane model by using an optimal control approach that is based on Lagrange multipliers and adjoint variables. In particular, we propose a pressure boundary optimal control with the purpose to control the solid deformation by changing the pressure on a fluid boundary. We report the results of some numerical tests for two-dimensional domains to demonstrate the feasibility and robustness of our method.

scholarly journals Distributed optimal control applied to Fluid Structure Interaction problems

2019 ◽  
Vol 1224 ◽  
pp. 012003
Author(s):  
A Chierici ◽  
L Chirco ◽  
R Da Vià ◽  
M Manservisi ◽  
S Magnaniand
Keyword(s):  
Optimal Control ◽  
Fluid Structure Interaction ◽  
Distributed Optimal Control ◽  
Fluid Structure ◽  
Structure Interaction

Analysis and finite element discretization for optimal control of a linear fluid–structure interaction problem with delay

2018 ◽  
Vol 40 (1) ◽  
pp. 140-206
Author(s):  
Gilbert Peralta ◽  
Karl Kunisch
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Fluid Structure Interaction ◽  
Interaction Model ◽  
Necessary Optimality Conditions ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
Fluid Structure ◽  
Delay Term ◽  
Structure Interaction

Abstract An optimal control problem for a linearized fluid–structure interaction model with a delay term in the structural damping is analyzed. A distributed control acting on the fluid domain, structure domain or both is considered. The necessary optimality conditions are derived both for rough and smooth initial data. A parabolic regularization of the problem and its convergence are investigated. Finite element discretization for the regularized problem and error estimates are provided. Piecewise linear elements with bubble functions for the fluid and a discontinuous Galerkin scheme for the spatial and temporal discretizations are utilized respectively. Numerical experiments illustrating the theoretical results are given.

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