Abstract
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 multistage Runge-Kutta scheme with multigrid acceleration. For incompressible flows, an explicit Adams-Bashforth method and an implicit dual-time-stepping scheme with a conjugate gradient method and a local ILU preconditioning is applied. The essential details of the solution schemes are presented are: their implementation on parallel computer architectures and their performance for different flow problems on different hardware platforms.
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