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arXiv · 2109.10999

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

Rami Masri·Chen Liu·Beatrice Riviere
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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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Rami Masri, Chen Liu, Beatrice Riviere. 2021-09-22. A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. https://arxiv.org/abs/2109.10999

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