Orthogonal Collocation on Finite Element Method for Driven Cavity Flow

Abstract

Among the candidates feasible to be used as Electrical Energy Storage (EES), Redox Flow Batteries (RFB) is advantageous in high capacity and long lifespan. However, the study of dynamic control of RFB systems which requires fast and accurate solver for fluid dynamics is still controversial. One of the reason is that the Navier-Stokes equation does not have any known analytical solution. It explains why the numerical method, which is excellent in both accuracy and speed, is essential but is largely unavailable. Among the numerous models and cases, the most prevalent one is lid-driven cavity flow. In this study, Orthogonal Collocation on Finite Element (OCFE) method on successive subdomains is discussed from the viewpoint of accuracy and computational cost. The results show that OCFE converges as fast as other popular methods and is accurate enough to serve as a solver for the RFB simulation.