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A discontinuous Galerkin pressure correction numerical method for solving theincompressible Navier-Stokes equations is formulated and analyzed. We proveunconditional stability of the propose scheme. Convergence of the discretevelocity is established by deriving a priori error estimates. Numerical resultsverify the convergence rates.

A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence