NUMERICAL SOLUTION OF SINGULAR PERTURBATION PROBLEMS WITH APPLICATION TO LID-DRIVEN CAVITY FLOW

摘要

This paper describes a finite difference approximation which has second order accuracy for arbitrary Reynolds numbers. The numerical scheme derived here is used to study the lid-driven cavity flow problem at Reynolds numbers in the range 1000 ≤ R ≤ 22000. The result of computations is compared with several well-known studies in the literature which include Direct Numerical Simulations (DNS) that have been recently reported. It is demonstrated that the present numerical scheme is capable of reproducing the flow structure reported by DNS for 20000 ≤ R ≤ 22000.