A pressure‐robust weak Galerkin finite element method for Navier–Stokes equations

Abstract

AbstractIn this article, we develop and analyze a novel numerical scheme for the steady incompressible Navier–Stokes equations by the weak Galerkin methods. By employing the divergence‐preserving velocity reconstruction operator, our algorithm can achieve pressure‐robustness, which means, the velocity error is independent of the pressure and the irrotational body force. Error analysis has been established to show the rate of convergence. Numerical experiments are presented to validate the theoretical conclusions.