161 citations · 288 across the 26 of their papers we have counts for
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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…