Abstract

AbstractFlows with moving boundaries and interfaces (MBI) include fluid–structure interaction and a number of other classes of problems, such as fluid–object interaction, fluid–particle interaction, free‐surface and multifluid flows, and flows with solid surfaces in fast, linear, or rotational relative motion. These problems are frequently encountered in engineering analysis and design, pose some of the most formidable computational challenges, and have a common core computational technology need. Bringing solution and analysis to them motivated the development of a good number of core computational methods and special methods targeting specific classes of MBI problems. This chapter is an overview of some of those core and special methods, with a focus on computational examples from the ST‐VMS and ALE‐VMS methods and special methods developed in conjunction with the two.

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