3 papers
math.NA2022
Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System
Chen Liu, Rami Masri, Beatrice Riviere
This paper is devoted to the analysis of an energy-stable discontinuous Galerkin algorithm for solving the Cahn-Hilliard-Navier-Stokes equations within a decoupled splitting framew…
math.NA2021
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…
physics.flu-dyn2019
A reduced model for solute transport in compliant blood vessels with arbitrary axial velocity profile
Rami Masri, Charles Puelz, Beatrice Riviere
We derive a reduced model of solute transport in blood based on the center manifold theory. The derivation is carried out on a convection diffusion equation with general axial and…