V. A. Balashov, A. A. Zlotnik, E. B. Savenkov, “Numerical algorithm for simulation of three-dimensional two-phase flows with surface effects within domains with voxel geometry”, Keldysh Institute preprints, 2017,091, 28 pp.

This article is cited in 6 papers

Numerical algorithm for simulation of three-dimensional two-phase flows with surface effects within domains with voxel geometry

V. A. Balashov^a, A. A. Zlotnik^b, E. B. Savenkov^a

^a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
^b National Research University "Higher School of Economics" (HSE), Moscow

Abstract: The paper presents a numerical algorithm for computing three-dimensional viscous compressible isothermal two-phase two-component flows with surface effects in domains of complex shape with voxel geometry. The algorithm is based on quasi-hydrodynamic regularization of the diffuse-interface model. A new improved finite-difference scheme is constructed. The method of its implementing on the domain boundary is described in detail. The simulation results are given for spreading of a drop on a substrate and displacement of a fluid by another one in a channel of complex shape.

Keywords: quasi-hydrodynamic system of equations, finite-difference scheme, multiphase flows, diffuse interface, regularized Navier–Stokes–Cahn–Hilliard equations, voxel geometry.

DOI: 10.20948/prepr-2017-91