The odd-even hopscotch (OEH) scheme, which is a time-integration technique for time-dependent partial differential equations, is applied to the incompressible Navier-Stokes equations in conservative form. In order to decouple the computation of the velocity and the pressure, the OEH scheme is combined with the pressure correction technique. The resulting scheme is referred to as the odd-even hopscotch pressure correction (OEH-PC) scheme. As a numerical example, we use the OEH-PC scheme to compute the flow through a reservoir. This contribution is based on the work reported in . We refer to that paper for a more comprehensive discussion of the OEH-PC scheme.