In this work, we address the problem of fluid-structure interaction (FSI) with moving structures that may come into contact. We propose a penalization contact algorithm implemented in an unfitted numerical framework designed to treat large displacements. In the proposed method, the fluid mesh is fixed and the structure meshes are superimposed to it without any constraint on the conformity. Thanks to the Extended Finite Element Method (XFEM), we can treat discontinuities of the fluid solution on the mesh elements intersecting the structure. The coupling conditions at the fluid-structure interface are enforced via a discontinuous Galerkin mortaring technique, which is a penalization method that ensures the consistency of the scheme with the underlining problem. Concerning the contact problem, we consider a frictionless contact model in a master/slave approach. By considering the coupled FSI-contact problem, we perform some numerical tests to assess the sensitivity of the proposed method with respect to the discretization and contact parameters and we show some examples in the case of contact between a flexible body and a rigid wall and between two deformable structures.

在这项工作中，我们解决了可能与移动结构发生接触的流固耦合（FSI）问题。我们提出了一种在不适合处理大型位移的数值框架中实现的惩罚联系算法。在所提出的方法中，流体网格是固定的，结构网格被叠加到其上，而对一致性没有任何限制。多亏了扩展有限元方法（XFEM），我们可以在与结构相交的网格单元上处理流体溶液的不连续性。流体-结构界面处的耦合条件通过不连续的Galerkin砂浆技术强制实施，这是一种惩罚方法，可确保方案与下划线问题的一致性。关于接触问题，我们在主/从方法中考虑了无摩擦接触模型。通过考虑耦合的FSI接触问题，我们进行了一些数值测试，以评估所提出方法相对于离散化和接触参数的敏感性，并给出了在柔性体与刚性壁之间以及之间的接触情况下的一些示例。两个可变形的结构。