The use of a high-performance parallel computer system has been investigated to compute the incompressible flow and mixing efficiency of a static mixer. The flow computation is performed using a conventional Eulerian approach, by resolving the governing flow equations on a block-structured computational mesh. To examine the mixing process, a Lagrangian approach involving particle tracking is employed. The parallelization of both the flow computation and particle tracking phases of the numerical simulation, which are performed independently, is described. It is shown that a highperformance parallel computer system provides the possibility for more detailed and accurate simulations, leading to greater insights into the flow behaviour and mixing properties. (C) 1998 Elsevier Science Ltd. All rights reserved.