Aerodynamic problems involving moving objects have many applications, including store separation, fluid-structure interaction, takeoff and landing, and fast maneuverability. While wind tunnel or flight test remain important, time accurate computational fluid dynamics (CFD) offers the option of calculating these procedures from first principles. However, such computations are complicated and time consuming. Parallel computing offers a very effective way to improve our productivity in doing CFD analysis. In this article, we review recent progress made in parallel computing in this area. The store separation problem will be used to offer a physical focus and to help motivate the research effort. The chimera grid technique will be emphasized du...