In the presence of strong added mass effects, partitioned solution strategies for incompressible fluid‐structure interaction are known to lack robustness and computational efficiency. A number of strategies have been proposed to address this challenge. However, these strategies are often complicated or restricted to certain problem classes and generally require intrusive modifications of existing software. In this work, the well‐known Dirichlet‐Neumann coupling is revisited and a new combined two‐field relaxation strategy is proposed. A family of efficient staggered schemes based crucially on a force predictor is formulated alongside the classical iterative approach. Both methodologies are rigorously analyzed on the basis of a linear model problem derived from a simplified fluid‐conveying elastic tube. The investigation suggests that both the robustness and the efficiency of a partitioned Dirichlet‐Neumann coupling scheme can be improved by a relatively small nonintrusive modification of a standard implementation. The relevance of the model problem analysis for finite element‐based computational fluid‐structure interaction is demonstrated in detail for a submerged cylinder subject to an external force.

中文翻译：

---

基于Dirichlet-Neumann耦合的不可压缩流体-结构相互作用的新的迭代和交错求解方案

在存在强大的附加质量效应的情况下，众所周知，不可压缩流体与结构相互作用的分区求解策略缺乏鲁棒性和计算效率。已经提出了许多策略来应对这一挑战。但是，这些策略通常很复杂或局限于某些问题类别，并且通常需要对现有软件进行侵入式修改。在这项工作中，重新讨论了著名的Dirichlet-Neumann耦合，并提出了一种新的组合两场弛豫策略。与经典的迭代方法一起，提出了一系列基于力预测器的有效交错方案系列。基于简化的流体输送弹性管得出的线性模型问题，对两种方法进行了严格的分析。研究表明，分区Dirichlet-Neumann耦合方案的鲁棒性和效率都可以通过对标准实现方式进行较小的非侵入式修改来提高。对于受外力作用的浸入式气缸，模型问题分析与基于有限元的计算流体-结构相互作用的相关性得到了详细说明。