161 citations · 288 across the 26 of their papers we have counts for
5 papers · 2 filters
Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations
Rami Masri, Chen Liu, Beatrice Riviere
The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier-Stokes equations. Optimal error estimates are deri…
Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media
Giselle Sosa Jones, Beatrice Riviere, Loic Cappanera
This paper presents and analyzes a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media. We use a first order time extrapolation which allo…
A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence
Rami Masri, Chen Liu, Beatrice Riviere
A discontinuous Galerkin pressure correction numerical method for solving the incompressible Navier-Stokes equations is formulated and analyzed. We prove unconditional stability of…
Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow
M. S. Joshaghani, B. Riviere, M. Sekachev
This paper proposes a fully implicit numerical scheme for immiscible incompressible two-phase flow in porous media taking into account gravity, capillary effects, and heterogeneity…
A vertex scheme for two-phase flow in heterogeneous media
M. S. Joshaghani, V. Girault, B. Riviere
This paper presents the numerical solution of immiscible two-phase flows in porous media, obtained by a first-order finite element method equipped with mass-lumping and flux up-win…