In this contribution the multi-physics problem of fluid–structure–control interaction (FSCI) is solved by an iterative, partitioned approach utilizing Gauss–Seidel formulations. The aim is to conduct a fully coupled co-simulation of the FSCI problem, where the controller actively influences the dynamics of the structure. The purpose of this manuscript is twofold: In the first part, in order to get a profound idea of the behavior and parametric sensitivity of such systems involving multiple couplings, the simplified model problem introduced for fluid–structure interaction (FSI) by Joosten, Dettmer and Perić is extended by a generic control unit. Since a monolithic solution for this simplified model problem can be found, it is used for first investigations concerning solvability and stability. On this basis, three different variants for coupling the subsystems fluid, structure and controller by a Gauss–Seidel scheme, are derived and systematically investigated. More precisely the FSCI problem is solved without nesting of the subsystems in the first variant and with nesting of two of the respective subsystems in the second and third variant. In the second part, the resulting algorithms are applied to a complex, non-linear, multi-degree of freedom problem, which is a well-known benchmark problem in the FSI community and is therefore extended to FSCI. Applying those algorithms to the multi-degree of freedom problem shows good results and substantiates the applicability to such problems. It follows, actively influencing the dynamics of the structure in the FSCI problem by a controller reduces the structural vibrations induced by the fluid flow significantly.

中文翻译：

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高斯-塞德尔公式对流体-结构-控制相互作用问题的分区模拟策略

在这一贡献中，流体-结构-控制相互作用（FSCI）的多物理场问题通过使用高斯-塞德尔公式的迭代，分区方法得以解决。目的是对FSCI问题进行完全耦合的联合仿真，其中控制器会主动影响结构的动力学。该手稿的目的是双重的：在第一部分中，为了深入了解此类涉及多重耦合的系统的行为和参数敏感性，Joosten，Dettmer为流体-结构相互作用（FSI）引入了简化模型问题。 Perić由通用控制单元扩展。由于可以找到针对此简化模型问题的整体解决方案，因此将其用于有关可溶性和稳定性的首次研究。在此基础上，推导并系统地研究了通过高斯-赛德尔方案耦合子系统流体，结构和控制器的三种不同变体。更精确地，FSCI问题无需在第一个变体中嵌套子系统，而在第二个和第三个变体中嵌套相应子系统中的两个。在第二部分中，将得到的算法应用于复杂的非线性多自由度问题，该问题是FSI社区中众所周知的基准问题，因此扩展到FSCI。将这些算法应用于多自由度问题显示出良好的结果，并证实了这些问题的适用性。它遵循，