Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme

In this paper, a second order Adams–Bashforth method is proposed to simulate foursided square lid-driven cavity flow. The convective term and diffusive term in Navier– Stokes equations are solved using a finite central difference scheme and the unsteady term is solved using the Adams–Bashforth method. All of the flow is simulated at below critical Reynolds numbers in a square cavity with an isothermal condition and the same speed for all walls. In this study, the flow structure for a four-sided lid-driven cavity with its four vortices and a graph of the velocity profile along the center of the cavity are presented. In addition, we also study the effect of the Reynolds number on the development of vortices in the cavity. We find that the Reynolds number has a dominant effect on the flow structure in the cavity. The computed results also show good agreement with the published data.