A Momentum Interpolation Method for Laminar Incompressible Flows

Abstract

A new analysis of the momentum interpolation method is presented in this paper. A modified method using quadratic interpolating polynomials for the calculation of the cell-face velocities is projected. The performance of the proposed method is examined and its application to lid-driven cavity problem is tested. The numerical results are compared with standard reported benchmark solutions for a different flow conditions. The numerical results show clearly the advantage of the new approach over the original momentum interpolation method, in terms of numerical accuracy, rate of convergence, and computational efficiency.