An optimal control approach to a fluid-structure interaction parameter estimation problem with inequality constraints

作     者：Chirco, Leonardo Manservisi, Sandro 

作者机构：Univ Bologna DIN Lab Montecuccolino Via Colli 16 I-40136 Bologna Italy 

出 版 物：《COMPUTERS & FLUIDS》 (计算机与流体)

年 卷 期：2021年第226卷

页      面：104999-104999页

核心收录：

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Optimal control Parameter estimation Fluid-structure interaction Adjoint equations 

摘      要：In this work, we present a new optimal control approach to fluid-structure interaction parameter estimation problems. The goal is to obtain the desired deformation by controlling the solid material properties, such as the Young modulus. We consider a stationary monolithic FSI problem where solid and liquid forces at the interface are automatically balanced. We consider inequality constraints in order to bound the Young modulus control admissible set. For the optimization, we adopt the Lagrange multiplier method with adjoint variables and obtain the optimality system which minimizes the augmented Lagrangian functional. We implement a projected gradient-based algorithm in a multigrid finite element code suitable for the study of large solid displacements. In order to support the proposed approach, we perform numerical tests with different objectives and control constraints. (C) 2021 Elsevier Ltd. All rights reserved.