--------------- Space-Time Fluid-Structure Interaction Modeling Tayfun E. Tezduyar Team for Advanced Flow Simulation and Modeling (T*AFSM) Mechanical Engineering, Rice University Houston, TX 77005, USA http://www.tafsm.org/ Abstract The space-time fluid-structure interaction (FSI) techniques developed by the Team for Advanced Flow Simulation and Modeling (T*AFSM) are being used for some of the most challenging FSI problems, including parachute modeling and arterial FSI. We summarize the core numerical technologies of the space-time FSI techniques, and describe the enhancements and special supplementary techniques introduced recently by the T*AFSM to increase the scope and efficiency of these techniques. The special FSI techniques include interface projections techniques, such as the Homogenized Modeling of Geometric Porosity (HMGP), and multiscale sequentially-coupled FSI techniques. We present a number of 3D numerical examples computed with these space-time FSI techniques, including the FSI modeling of the parachutes to be used for the Orion spacecraft.