The site of Tipon, Peru, located about 30 km east of Cuzco, provides an example of Inka knowledge of hydraulic engineering and the civil engineering practices used in the design and operation of the complex water system. The inhabitants of Tipon used river- and spring-sourced surface and subterranean channels to convey, distribute, and drain water to and from multiple agricultural platforms, reservoirs, and urban ceremonial centers. Intricate intersecting surface and subterranean channel systems that combined and regulated water flows from different sources controlled the water to and drainage from 13 terraced agricultural platforms. This design served to maintain different ground moisture levels to sustain specialty crops. Within the site are fountains and multiple water display features requiring sophisticated hydraulic engineering necessary for aesthetic displays. To understand the technology used by the Inka to design the water systems at Tipon, I used computational fluid dynamics methodology and modern hydraulic engineering theory. I made computer models of key elements of the Principal Fountain and the Main Aqueduct to reproduce water flow patterns in these features as intended by Inka engineers’ designs and calculations. The Inka hydraulic technology used complex engineering principles similar to those in modern civil engineering practice centuries ahead of their formal discovery in Western hydraulic science.