Stable numerical approximation of two-phase flow with a Boussinesq–Scriven surface fluid

Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid

We consider two-phase Navier–Stokes flow with a Boussinesq–Scriven surface fluid. In such a fluid the rheological behaviour at the interface includes surface viscosity effects, in addition to the classical surface tension effects. We introduce and analyze parametric finite element approximations, and show, in particular, stability results for semi-discrete versions of the methods, by demonstrat...

On the stable numerical approximation of two-phase flow with insoluble surfactant

We present a parametric finite element approximation of two-phase flow with insoluble surfactant. This free boundary problem is given by the Navier–Stokes equations for the two-phase flow in the bulk, which are coupled to the transport equation for the insoluble surfactant on the interface that separates the two phases. We combine the evolving surface finite element method with an approach prev...

Applying a Modified Two-Fluid Model to Numerical Simulation of Two-Phase Flow in the Membrane Chlor-Alkali Cells

In this study, gas evolution in a vertical electrochemical cell is investigated numerically with a modified two-fluid model. The mathematical model involves solution of separate transport equation for the gas and liquid phases with an allowance to inter-phase transfer of mass and momentum. The governing equations are discreted via the finite volume technique and then are solved by ...

Numerical modelling of some two-phase fluid flow problems

Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces

Abstract. We consider a simplified model of a two-phase flow through a heterogeneous porous medium. Focusing on the capillary forces motion, a nonlinear degenerate parabolic problem is approximated in a domain shared in two homogeneous parts, each of them being characterized by its relative permeability and capillary curves functions of the phase saturations. We first give a weak form of the co...