Space–Time Computational Flow Analysis (STCFA) was developed in 1990 in the context of flows with moving boundaries and interfaces, which is a wide class of problems that includes fluid–particle interactions, fluid–structure interactions (FSI), and free-surface and multi-fluid flows. It is a computational framework made of unconventional methods, which have evolved over the years as more unconventional methods were introduced to increase its scope and accuracy. It brought first-of-its-kind solutions in many classes of problems, including fluid–particle interactions in particle-laden flows, FSI in parachute aerodynamics, flapping-wing aerodynamics of an actual locust, ventricle-valve-aorta flow analysis, and car and tire aerodynamics. With these successes in so many classes of problems, the STCFA has reached a level of remarkable sophistication, scope, and practical value.

This monograph presents, for the first time, a chronological catalog of STCFA methods and solutions from their development to the present. Part I focuses on the STCFA in the context of finite element analysis, and Part II in the context of isogeometric analysis. The methods presented include complementary general-purpose methods that were introduced in the evolution of STCFA. All researchers working on or interested in space–time computations in fluid mechanics, FSI, and solid mechanics, including graduate students, will benefit from the wealth of powerful computational methods and impressive solutions they will find in the book.