A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence

Masri, Rami; Liu, Chen; Riviere, Beatrice

doi:10.1090/mcom/3731

A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence
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by Rami Masri, Chen Liu and Beatrice Riviere HTML | PDF

Math. Comp. 91 (2022), 1625-1654

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 proposed scheme. Convergence of the discrete velocity is established by deriving a priori error estimates. Numerical results verify the convergence rates.

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