A continuum method for modeling surface tension
Journal of Computational Physics
Computation of multiphase systems with phase field models
Journal of Computational Physics
Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
A continuous surface tension force formulation for diffuse-interface models
Journal of Computational Physics
SIAM Journal on Numerical Analysis
AMDiS: adaptive multidimensional simulations
Computing and Visualization in Science
Diffuse interface model for incompressible two-phase flows with large density ratios
Journal of Computational Physics
Efficient Numerical Solution of Cahn-Hilliard-Navier-Stokes Fluids in 2D
SIAM Journal on Scientific Computing
Hi-index | 31.45 |
We propose a variant of the @q-scheme for diffuse interface models for two-phase flow, together with three new linearization techniques for the surface tension. These involve either additional stabilizing force terms, or a fully implicit coupling of the Navier-Stokes and Cahn-Hilliard equation. In the common case that the equations for interface and flow are coupled explicitly, we find a time step restriction which is very different to other two-phase flow models and in particular is independent of the grid size. We also show that the proposed stabilization techniques can lift this time step restriction. Even more pronounced is the performance of the proposed fully implicit scheme which is stable for arbitrarily large time steps. We demonstrate in a Taylor-flow application that this superior coupling between flow and interface equation can decrease the computation time by several orders of magnitude.