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A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence (2109.10999v1)

Published 22 Sep 2021 in math.NA and cs.NA

Abstract: A discontinuous Galerkin pressure correction numerical method for solving the incompressible Navier-Stokes equations is formulated and analyzed. We prove unconditional stability of the propose scheme. Convergence of the discrete velocity is established by deriving a priori error estimates. Numerical results verify the convergence rates.

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