Space-Time Computational FSI and Flow Analysis: 2004 and Beyond

Abstract

The space-time (ST) computational fluid-structure interaction (FSI) and flow analysis started in 1990, with the inception of the Deforming-Spatial- Domain/Stabilized ST (DSD/SST) method. In 1990-2003, the DSD/SST enabled computational FSI and flowanalysis in many complex engineering problems, including parachute FSI and fluid-particle interaction with 1000 spheres. In 2004, the DSD/SST enabled some of the earliest cardiovascular FSI analyses, and, in combination with the “quasi-direct coupling, " enabled more robust FSI analysis for very light structures, such as large parachutes. New core and special ST methods introduced in 2006 and 2007 enabled computational FSI analysis of the Orion spacecraft parachutes, with hundreds and gaps and slits that the flow goes through. In 2004, the first author also met the second author, which eventually led to a unique research collaboration and a new generation of ST methods. It also led to some of the most complex computational FSI and flow analyses, ranging from clusters of spacecraft parachutes with contact between the parachutes to heart valves to flow around tires with road contact and tire deformation. This chapter is the story of the ST computational FSI and flow analysis in 2004 and beyond.