Fluid-Structure Interaction (FSI) can be investigated by means of non-linear Finite Element Models (FEM), suitable to capture large deflections of structural parts interacting with fluids, and Computational Fluid Dynamics (CFD). High fidelity simulations are obtained using the fine spatial resolution of both the structural and fluid computational grids. A key enabler to have a proper exchange of information between the structural solver and the fluid one is the management of the interface at wetted surfaces where the grids are usually non matching. A class of applications, known also as one-way FSI problems, involves a complex movement of the walls that is known in advance as measured or as computed by FEM, and that has to be imposed at the boundaries during a transient CFD solution. Effective methods for the time marching adaption of the whole computational grid of the CFD model according to the evolving shape of its boundaries are required. A very well established approach consists of a continuum update of the mesh that is regenerated by adding and removing cells to fit the evolution of the moving walls. In this paper, starting from the work originally presented in Meshfree Methods in Computational Sciences, ICCS 2020 [1], an innovative method based on Radial Basis Functions (RBF) mesh morphing is proposed, allowing the retention of the same mesh topology suitable for a continuum update of the shape. The proposed method is exact at a set of given key configurations and relies on shape blending time interpolation between key frames. The study of the complex motion of a Polymeric-Prosthetic Heart Valve (P-PHV) is presented using the new framework and considering as a reference the established approach based on remeshing.

可以通过非线性有限元模型（FEM）来研究流体-结构相互作用（FSI），该模型适合捕获与流体相互作用的结构部件的大挠度，并可以使用计算流体动力学（CFD）。使用结构网格和流体计算网格的精细空间分辨率可以获得高保真度模拟。在结构求解器和流体之间进行正确信息交换的一个关键因素是对润湿表面处的界面进行管理，在这些表面上，网格通常是不匹配的。一类应用，也称为单向FSI问题，涉及壁的复杂运动，该运动是预先已知的，通过FEM进行测量或计算，并且必须在瞬态CFD解决方案中施加在边界处。需要一种有效的方法来根据其边界的不断变化的形状对CFD模型的整个计算网格进行时间适应。一种非常完善的方法包括对网格进行连续更新，通过添加和删除单元格以适应移动壁的演变来重新生成网格。在本文中，从最初在计算科学的Meshfree方法，ICCS 2020 [1]中提出的工作开始，提出了一种基于径向基函数（RBF）网格变形的创新方法，该方法允许保留适用于网格的相同网格拓扑。形状的连续更新。所提出的方法在一组给定的关键配置下是精确的，并且依赖于关键帧之间的形状融合时间插值。