Abstract: In this talk, I will present my past and ongoing work using adaptive mesh refinement (AMR) for incompressible fluid flow simulations. AMR was developed for compressible flows but has found its way into other scientific domains because of its inherent ability to resolve multiple scales by using a single composite mesh. Different approaches to AMR have been pursued by researchers, but block-structured AMR (SAMR) is the most popular. FLASH is a SAMR-based multicomponent multiphysics scientific code capable of performing simulations across multiple domains including astrophysics, HEDP, and compressible and incompressible flows. I will discuss the current work to build upon the existing capabilities of FLASH to simulate various types of flow problems.