The deployment of computational methods in the fluid-dynamics design cycle of modern transportation systems such as spacecraft, aircraft, cars and also ships, has shown a rapid increase, parallel with the progress in numerical mathematics and computer capability. At present, the use of computational fluid dynamics (CFD) in, e.g., ship design is such that, prior to any towing-tank model testing, the fluiddynamics design of a ship’s hull is analyzed by means of a computational method. If necessary, shortcomings of the design can thus be detected and corrected at an early stage. The large amount of data produced by a fluid-flow computation, allows us to gain a better insight in (i) topological flow properties such as flow separation, re-attachment, wave generation and vortex formation, as well as in (ii) quantitative data. Thus, the use of CFD methods results in better ship designs, within a shorter time span. In this way, CFD contributes to the economy of naval architecture and shipping, as well as to a reduction of pollution.