This volume contains 18 papers that consider finite element, finite volume and a two-step Taylor-Galerkin algorithm for the numerical solution of the Euler and Navier-Stokes equations on massively parallel computers with MIND and SIMD architecture and on work station clusters. Incompressible and compressible, steady and unsteady flows are considered, including turbulent combustion with complex chemistry. Structured and unstructured grids are used. High numerical efficiency is demonstrated by multiplicative, additive and multigrid methods. Various methods for domain decompositions are investigated. Shared memory, virtual shared memory and distributed memory systems are also investigated, in some cases based on an automatic grid partitioning technique.