A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows

نویسندگان

چکیده

In this paper, we present an efficient numerical algorithm for solving the time-dependent Cahn–Hilliard–Navier–Stokes equations that model flow of two phases with different densities. The pressure-correction step in projection method consists a Poisson problem modified right-hand side. Spatial discretization is based on discontinuous Galerkin methods piecewise linear or quadratic polynomials. One important contribution work formulation flux and slope limiting techniques successfully eliminate bulk shift, overshoot undershoot order parameter. bound-preserving property discrete parameter proved. Several results demonstrate proposed effective robust modeling two-component immiscible flows porous structures digital rocks.

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2022

ISSN: ['1090-2716', '0021-9991']

DOI: https://doi.org/10.1016/j.jcp.2021.110769