Numerical simulation of 2D lid-driven cavity flow with CLEARER algorithm on extremely highly skewed grids at high Reynolds numbers

Abstract

It is crucial to deal with the grid non-orthogonality effectively in solving the flow in complex geometries, especially at high Reynolds numbers. In this study, the newly proposed Coupled and Linked Equations Algorithm Revised-ER (CLEARER) algorithm is adopted to solve this problem successfully. In CLEARER algorithm the second relaxation factor is introduced in constructing the contravariant interface velocities, by setting it to a low value. CLEARER algorithm can overcome the severe grid non-orthogonality and non-linearity of equations effectively. After the numerical results with CLEARER are validated with the benchmark solutions, this algorithm is used to solve the lid-driven flow in inclined cavity with inclination angles varying from 10 to 170{ring operator}, and Reynolds numbers varying from 5000 to 15 000. The streamlines and the centerline velocity distributions are provided in detail for all cases, which may offer some guidance for the study in this area. © 2010 John Wiley & Sons, Ltd.