Mesoscale Computational Approach for Shear Driven Cavity Flow

In this paper, we report an alternative numerical approach to predict the flow behavior for incompressible fluid. Current model applies the constrained interpolated profile method to discretise the governing equation of Boltzmann transport equation. The main advantage of the proposed scheme is it capability in producing third order accuracy with two points polynomial interpolation. Three numerical experiments were performed in order to demonstrate the effectiveness of the present approach. The results of lid-driven cavity flow indicate that the approach required mush less grid resolution to obtain acceptable result when compared with the benchmark results published in the literature.