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An optimal control method for time-dependent fluid-structure interaction problems
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DOI：10.1007/s00158-021-02956-6.png)
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摘要
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In this article, we derive an adjoint fluid-structure interaction (FSI) system in an arbitrary Lagrangian-Eulerian (ALE) framework, based upon a one-field finite element method. A key feature of this approach is that the interface condition is automatically satisfied and the problem size is reduced since we only solve for one velocity field for both the primary and adjoint system. A velocity (and/or displacement)-matching optimisation problem is considered by controlling a distributed force. The optimisation problem is solved using a gradient descent method, and a stabilised Barzilai-Borwein method is adopted to accelerate the convergence, which does not need additional evaluations of the objective functional. The proposed control method is validated and assessed against a series of static and dynamic benchmark FSI problems, before being applied successfully to solve a highly challenging FSI control problem.
Keyword:
Optimal control
Adjoint optimisation
Fluid-structure interaction
Finite element
Arbitrary Lagrangian-Eulerian
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分享收藏An immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problems用于固定流体-结构相互作用问题的形状和拓扑优化的浸入边界方法
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