Summary: Explicit and implicit schemes for compressible and incompressible unsteady three-dimensional flows implemented on high-performance vector-parallel computers are presented with selected applications. The explicit scheme for compressible flows is based on a multi-stage Runge-Kutta scheme with multigrid acceleration. For incompressible flows, we use an explicit Adams-Bashforth method and an implicit dual-time stepping scheme with conjugate gradient method and local ILU preconditioning. We discuss essential details of of solution schemes, their implementation on parallel computer architectures, and their performance for different flow problems on different hardware platforms.
For the entire collection see [Zbl 0919.68131].