Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem

2016 ◽  
Vol 170 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Lukas Failer ◽  
Dominik Meidner ◽  
Boris Vexler
Keyword(s):  
Optimal Control ◽  
Fluid Structure Interaction ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Unsteady Fluid ◽  
Interaction Problem

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.

An implicit full Eulerian method for the fluid-structure interaction problem

2010 ◽  
Vol 65 (1-3) ◽  
pp. 150-165 ◽  
Author(s):  
S. Ii ◽  
K. Sugiyama ◽  
S. Takeuchi ◽  
S. Takagi ◽  
Y. Matsumoto
Keyword(s):  
Fluid Structure Interaction ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Eulerian Method ◽  
Interaction Problem

scholarly journals Space/time multigrid for a fluid–structure-interaction problem

2008 ◽  
Vol 58 (12) ◽  
pp. 1951-1971 ◽  
Author(s):  
E.H. van Brummelen ◽  
K.G. van der Zee ◽  
R. de Borst
Keyword(s):  
Fluid Structure Interaction ◽  
Space Time ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Interaction Problem
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