In this paper we present benchmark results from the parallel implementation of the three-dimensional Navier-Stokes solverPrism[1] on the Cray T3D, We compare the single processor performance with other Cray computers, namely the Cray C90, J90 and EL98, as well as Digital Equipment Corporation's DEC 3000/500 (which uses the same processor as the T3D) and AlphaServer 8400 5/300 (which uses the same processor as the Cray T3E, the successor system to the T3D). The numerical method used in the solver is based on mixed spectral element-Fourier expansions in (x−y) andz-directions, respectively. Each (or a group) of Fourier modes can be computed on a separate processor as the linear contributions (Helmholtz solves) in Navier-Stokes equations are completely uncoupled. Coupling is obtained via the nonlinear contributions (adveaion terms) and requires a global transpose of the data and one-dimensional multiple-point FFTs.