Free boundary fluid-elasticity interactions: Adjoint sensitivity analysis

摘要

We consider a PDE-constrained optimization problem governed by a free boundary fluid-elasticity interaction. The challenge of applying optimization tools to free boundary fluid-structure interactions is the proper derivation of the adjoint sensitivity information with correct balancing conditions on the common interface. As the interaction is a coupling of Eulerian (fluid state) and Lagrangian (motion of the solid) quantities, sensitivity analysis on the system falls into the framework of shape analysis. This paper builds upon the sensitivity theory developed in ~(5,6,8) and provides a description for the adjoint linearized model, necessary in the derivation of optimality conditions for controls and derivative-based optimization algorithms in free boundary fluidstructure interactions.