Finite Element Analysis for Stationary Incompressible Viscous Flows Using Balancing Domain Decomposition

Abstract

We have constructed a parallel algorithm of the Balancing Domain Decomposition (BDD) in structural analysis, and succeeded in solving problems with over 100 million degrees of freedom. The results are released as an open source software, named ADVENTURE_Solid, from the ADVENTURE project. In this study, as an application of the parallel BDD algorithm of ADVENTURE_Solid to other fields, we apply it to a stationary Stokes solver. The effectiveness is shown with the consideration of applications to Navier-Stokes solvers.