Numerical simulations of the Rayleigh-Taylor instability
Journal of Computational Physics
Weakly differentiable functions
Weakly differentiable functions
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Mathematics of Computation
Solving unsymmetric sparse systems of linear equations with PARDISO
Future Generation Computer Systems - Special issue: Selected numerical algorithms
Diffuse interface model for incompressible two-phase flows with large density ratios
Journal of Computational Physics
SIAM Journal on Scientific Computing
Hi-index | 31.45 |
In this paper, we present a numerical scheme for the diffuse-interface model in [3] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with thermodynamics, energy estimates are expected to carry over to the discrete setting. By a subtle discretization of the convective coupling with the flux of the phase-field in the momentum equation, we prove discrete consistency with thermodynamics. Numerical experiments in two spatial dimensions - ranging from Rayleigh-Taylor instability to a comparison with previous modeling approaches - indicate the full practicality of our scheme and enable a first validation of the new modeling approach in [3].