2 citations · 3 across the 5 of their papers we have counts for
8 papers
A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows
Chen Liu, Deep Ray, Christopher Thiele +2
In this paper, we present an efficient numerical algorithm for solving the time-dependent Cahn--Hilliard--Navier--Stokes equations that model the flow of two phases with different…
A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant
Deep Ray, Chen Liu, Beatrice Riviere
A numerical method using discontinuous polynomial approximations is formulated for solving a phase-field model of two immiscible fluids with a soluble surfactant. The scheme recove…
Convergence of a finite element method for degenerate two-phase flow in porous media
Girault Vivette, Riviere Beatrice, Cappanera Loic
A finite element method with mass-lumping and flux upwinding, is formulated for solving the immiscible two-phase flow problem in porous media. The method approximates directly the…
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…
An interior penalty discontinuous Galerkin approach for 3D incompressible Navier--Stokes equation for permeability estimation of porous media
Chen Liu, Florian Frank, Faruk O. Alpak +1
Permeability estimation of porous media from direct solving Navier--Stokes equation has a wide spectrum of applications in petroleum industry. In this paper, we utilize a pressure-…
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
Maurice S. Fabien, Matthew G. Knepley, Beatrice M. Riviere
We present a new method for approximating solutions to the incompressible miscible displacement problem in porous media. At the discrete level, the coupled nonlinear system has bee…