Abstract
This paper analyzes the error estimates and convergence rate of a two-level MacCormack rapid solver scheme for solving a two-dimensional incompressible Navier–Stokes equations using L∞(0,T;L2)-norm. The proposed approach improves a large class of numerical schemes deeply studied in the literature for the considered problem. The theoretical result suggests that the rapid solver method is convergent and temporal second order accurate. A wide set of numerical evidences which confirm the theory are presented and discussed.
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