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The error estimates and convergence rate of a two-level MacCormack rapidsolver method for solving a two-dimensional incompressible Navier-Stokesequations are analyzed. This represents a continuation of the work on thestability analysis of the method. The theoretical result suggests that therapid solver method is both convergent and second order accurate with respectto time step $\Delta t.$ A wide set of numerical evidences confirm thistheoretical analysis.

Error Estimate of MacCormack Rapid Solver Method for 2D Incompressible Navier-Stokes Problems