Prediction of particle dynamics in lid-driven cavity flow

Abstract

The prediction of the flow of solid particle through fluid has been an important research topic in the past decades. The difficulties arise to understand the interaction between the particle and surrounding fluid. Therefore, in the present study, the Cubic Interpolated Pseudo- Particle Navier Stokes equation (CIPNSE) was applied to investigate the two-dimensional square lid driven cavity flow of water at wide range of Reynolds numbers. The CIPNSE scheme was used to solve hyperbolic term of the vorticity transport equation. In the CIPNSE scheme, the gradient and the value of the vorticity at the nodes are determined and the stream function is then determined using the vorticity equation. It is discovered that the numerical simulation of CIPNSE provided a very good agreement with the established benchmark results by previous researchers. Then, in order to predict the velocity and position of the particle in the fluid flow, we applied the 4th order Runge-Kutta method to solve the effect from the drag and gravitational forces on the particle.