Parallel Computation Using Non-Overlapping Domain Decomposition Coupled with Compact Local Integrated RBF for Navier–Stokes Equations

Abstract

A non-overlapping domain decomposition-based parallel algorithm coupled with a compact local integrated radial basis function (CLIRBF) method is developed for solving Navier-Stokes equations. For this approach, a problem is divided into subdomains. In each sub-domain, a CLIRBF scheme is applied to solve the Navier-Stokes equations of flows. A relaxation factor is used at the interface between sub-domains to ensure the quick convergence of the present method. The Bitmap termination detection technique is introduced to complete the global termination. The present approach is verified using two fluid flow problems: the lid-driven cavity and the natural convection in concentric annuli flow. The numerical results have demonstrated the efficiency of the present parallel method compared with the corresponding sequential one and other published methods. Especially, super-linear speed-up was achieved for several CPUs. In terms of accuracy, the obtained results are in very good agreement with benchmark results.