With the objective of studying fluid-structure interaction (FSI) applications with sophisticated structural behavior, this work studies an approach that makes room for the use of complex structural models without penalizing the global computational time. The proposed approach is based on an algorithm that, simultaneously solving two subdomains, allows an asynchronous update of the boundary conditions at the interface according to the computational time spent by each of the solvers.

The implementation of this algorithm revealed the appearance of numerical instabilities related to the parallel operation, and the independent evolution of the local solution in each subdomain. To overcome these stability problems, this work proposes a two-part stabilization strategy, both based on the use of a modal approach, as well as the adjustment of the formulation of the Jacobian of the fluid at the interface. The first part consists of a predictor-corrector method for the parallel operation and the second in an auxiliary coupling to assist the solution of the fluid domain. The impact of parameters such as the amount of correction, the number of modes and under-relaxation are studied.

The use of the proposed asynchronous algorithm shows a positive impact when used for the solution of weakly coupled FSI applications (mass ratio $m^F/m^S=0.001$). However, for applications with a larger or equivalent mass ratio, $m^F/m^S=0.1$ or $m^F/m^S=1$, greater difficulty in stabilizing remain.

Even though it is found that the proposed approach requires to be improved to ensure a robust solution, the encountered results represent an advance towards the use of an innovative algorithm in the FSI domain, one that could naturally offer an intermediary algorithm between the implicit external algorithm and the implicit internal algorithm.

为了研究具有复杂结构行为的流体-结构相互作用（FSI）应用程序，这项工作研究了一种方法，该方法为使用复杂结构模型腾出了空间，而又不会浪费全局计算时间。所提出的方法基于一种算法，该算法可以同时求解两个子域，并根据每个求解器所花费的计算时间来允许界面处边界条件的异步更新。

该算法的实现揭示了与并行运算有关的数值不稳定性的出现，以及每个子域中局部解的独立演化。为了克服这些稳定性问题，这项工作提出了一种由两部分组成的稳定化策略，既基于模态方法的使用，又基于界面处流体雅可比公式的调整。第一部分由用于并行操作的预测器-校正器方法组成，第二部分由辅助耦合器中的辅助流体域解决方案组成。研究了校正量，模式数和欠松弛等参数的影响。

当用于弱耦合FSI应用的解决方案（质量比）时，所提出的异步算法的使用显示出积极的影响。 ${米}^F/{米}^{\mathrm{小号}}=0.001$）。但是，对于具有较大或等效质量比的应用，${米}^F/{米}^{\mathrm{小号}}=0.1$ 或者 ${米}^F/{米}^{\mathrm{小号}}=\mathrm{1个}$，在稳定方面仍然存在较大困难。

即使发现建议的方法需要改进以确保可靠的解决方案，所遇到的结果也代表着在FSI域中使用一种创新算法的进步，该算法自然可以在隐式外部算法之间提供一种中间算法。以及隐式内部算法。