An optimal control method for time-dependent fluid-structure interaction problems

Abstract In this article, we derive an adjoint fluid-structure interaction (FSI) system in arbitrary Lagrangian-Eulerian (ALE) framework, based upon a one-field finite element method. A key feature of approach is that the interface condition automatically satisfied and problem size reduced since only solve for one velocity field both primary system. (and/or displacement)-matching optimisation considered by controlling distributed force. The solved using gradient descent method, stabilised Barzilai-Borwein method adopted to accelerate convergence, which does not need additional evaluations objective functional. proposed control validated assessed against series static dynamic benchmark FSI problems, before being applied successfully highly challenging problem.