Vuik, C.; Frank, J.; Segal, A. A parallel block-preconditioned GCR method for incompressible flow problems. (English) Zbl 1032.68811 FGCS. Future Generation Computer Systems 18, No. 1, 31-40 (2001). Summary: Efficient parallel algorithms are required to simulate incompressible turbulent flows in complex two- and three-dimensional domains. The incompressible Navier-Stokes equations are discretized in general coordinates on a structured grid. For a flow on a general domain we use an unstructured decomposition of the domain into subdomains of simple shape, with a structured grid inside each subdomain. We have developed a parallel block-preconditioned GCR method to solve the resulting systems of linear equations. The method can be smoothly varied between a coarse grain parallel method in which the subdomain problems are solved accurately with an inner iteration process and a fine grain parallel method when only a preconditioner is used to approximate the solution on the blocks. Parallel performance results for Boussinesq flow in a cavity are included. Cited in 2 Documents MSC: 68U20 Simulation (MSC2010) 76D99 Incompressible viscous fluids 68W10 Parallel algorithms in computer science Keywords:incompressible turbulent flows PDFBibTeX XMLCite \textit{C. Vuik} et al., Future Gener. Comput. Syst. 18, No. 1, 31--40 (2001; Zbl 1032.68811) Full Text: DOI