<p style='text-indent:20px;'>In this paper, we introduce the weak Galerkin (WG) finite element method for Stokes equations with damping. We establish WG numerical scheme on general meshes and prove well-posedness of scheme. Optimal error estimates velocity pressure are derived. Furthermore, in order to accelerate algorithm, present a two-level give corresponding estimates. Finally, some e...

The aim of this paper is to introduce and validate a coupled Navier-Stokes Boltzmann approach for the calculation of hypersonic rareeed ows around manoeuver-ing vehicles. The proposed strategy uses locally a kinetic model in the boundary layer coupled through wall friction forces to a global Navier-Stokes solver. Diierent numerical experiments illustrate the potentialities of the method. Coupla...

The gauge-Uzawa method which has been constructed in [11] is a projection type method to solve the evolution Navier-Stokes equations. The method overcomes many shortcomings of projection methods and displays superior numerical performance [11, 12, 15, 16]. However, we have obtained only suboptimal accuracy via the energy estimate in [11]. In this paper, we study semi-discrete gauge-Uzawa method...