Communicated by T. E. TezduyarThis paper presents a fluid-structure interaction (FSI) solution technique in which the incompressible fluid dynamics involving moving boundaries is solved with the deformingspatial-domain/stabilized space-time (DSD/SST) method and the structural dynamics is solved with the finite difference (FD) method. The DSD/SST and FD solvers are coupled by an implicit partitioned coupling strategy based on staggered subiterations. Three types of relaxation are applied on the FSI surface velocity and hydrodynamic force. The first one is applied to delay the coupling conditions at the beginning of each simulation; the second one is applied to relax the increment during each subiteration; and the third one is applied to filter high frequency oscillations between each time step. A pitching plate in a uniform flow is calculated to validate the FSI technique. The present results are in good agreement with data predicted by other methods. In addition, two problems are calculated to demonstrate the capability of this solver: an orbital flow over flapping foil propulsion and energy harvesting and a flexible plate in a cavity excited by an external force.
An FSI solution technique 3expense. The mesh moves following the immersed boundary motion every time step if moving boundaries are involved, and may be regenerated if the distortion of elements is severe. The advantage of these methods is that the boundary conditions can be directly imposed and thus it has high-order accuracy near the boundary. This treatment could be computationally expensive and complicated, especially for the cases involving complex geometries and large displacements/deformations. The DSD/SST method is one of the earliest space-time formulations for fluid dynamics simulations involving moving boundaries and interfaces. This method is based on stabilized finite element formulations written over the space-time domain of the fluid. In this method, the streamline-upwind/Petrov-Galerkin 42,43 and pressurestabilizing/Petrov-Galerkin 25,44 formulations are the stabilization strategies used to prevent numerical instabilities encountered in solving flow problems with high Reynolds number, high Mach number, shocks or strong boundary layers, and when using equal-order interpolation functions for both velocity and pressure. In addition, the DSD/SST method allows the spatial domain at various time levels to vary without introducing additional interpolation routines if the grid topology is preserved, and thus can be effectively applied to fluid dynamics computations involving moving boundaries and interfaces. 25-27 Since the work by Tezduyar et al. [25][26][27] the DSD/SST formulation has been extensively used to simulate problems involving moving boundaries and FSI. Some examples of these applications are animal swimming and flight, 39,45-55 flag flapping, 29,34 spacecraft parachutes, 56-68 cardiovascular fluid mechanics, 69-75 wind-turbine aerodynamics, 76-80 and non-Newtonian flow. 38,81 Some of these applications have been reported in two rece...