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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…
math.NA2020★ 1 cited
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…