Error Estimate of MacCormack Rapid Solver Method for 2D Incompressible Navier-Stokes Problems
Provides theoretical convergence guarantees for a specific numerical method, which is incremental for computational fluid dynamics researchers.
The paper analyzes error estimates and convergence of a MacCormack rapid solver for 2D incompressible Navier-Stokes equations, proving second-order accuracy in time step Δt and confirming it numerically.
The error estimates and convergence rate of a two-level MacCormack rapid solver method for solving a two-dimensional incompressible Navier-Stokes equations are analyzed. This represents a continuation of the work on the stability analysis of the method. The theoretical result suggests that the rapid solver method is both convergent and second order accurate with respect to time step $Δt.$ A wide set of numerical evidences confirm this theoretical analysis.