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

09/22/2021

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by   Rami Masri, et al.

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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.