SPACE–TIME FLUID–STRUCTURE INTERACTION METHODS

TLDR

The Deforming‑Spatial‑Domain/Stabilized Space–Time (DSD/SST) formulation, introduced in 1991, has become a core technology for simulating moving‑boundary flow problems—including free‑surface, two‑fluid, and fluid–structure interactions such as parachute and arterial models—while recent variants offer lower‑cost alternatives. The paper reviews the core DSD/SST space–time FSI technique, its recent variants, and specialized FSI extensions. Test computations using the DSD/SST‑VMST variant illustrate the method. The VMS‑based DSD/SST‑VMST variant improves computational accuracy and provides a reliable turbulence model, while specialized space–time FSI techniques expand the scope and accuracy of parachute and arterial simulations.

Abstract

Since its introduction in 1991 for computation of flow problems with moving boundaries and interfaces, the Deforming-Spatial-Domain/Stabilized Space–Time (DSD/SST) formulation has been applied to a diverse set of challenging problems. The classes of problems computed include free-surface and two-fluid flows, fluid–object, fluid–particle and fluid–structure interaction (FSI), and flows with mechanical components in fast, linear or rotational relative motion. The DSD/SST formulation, as a core technology, is being used for some of the most challenging FSI problems, including parachute modeling and arterial FSI. Versions of the DSD/SST formulation introduced in recent years serve as lower-cost alternatives. More recent variational multiscale (VMS) version, which is called DSD/SST-VMST (and also ST-VMS), has brought better computational accuracy and serves as a reliable turbulence model. Special space–time FSI techniques introduced for specific classes of problems, such as parachute modeling and arterial FSI, have increased the scope and accuracy of the FSI modeling in those classes of computations. This paper provides an overview of the core space–time FSI technique, its recent versions, and the special space–time FSI techniques. The paper includes test computations with the DSD/SST-VMST technique.