Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Velocity-Correction Projection Methods for Incompressible Flows
SIAM Journal on Numerical Analysis
Computation of multiphase systems with phase field models
Journal of Computational Physics
A continuous surface tension force formulation for diffuse-interface models
Journal of Computational Physics
Journal of Computational Physics
Short note: Spontaneous shrinkage of drops and mass conservation in phase-field simulations
Journal of Computational Physics
Diffuse interface model for incompressible two-phase flows with large density ratios
Journal of Computational Physics
Journal of Computational Physics
An efficient moving mesh spectral method for the phase-field model of two-phase flows
Journal of Computational Physics
Three-dimensional, fully adaptive simulations of phase-field fluid models
Journal of Computational Physics
An unconditionally stable rotational velocity-correction scheme for incompressible flows
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
We present an efficient time-stepping scheme for simulations of the coupled Navier-Stokes Cahn-Hilliard equations for the phase field approach. The scheme has several attractive characteristics: (i) it is suitable for large density ratios, and numerical experiments with density ratios up to 1000 have been presented; (ii) it involves only constant (time-independent) coefficient matrices for all flow variables, which can be pre-computed during pre-processing, so it effectively overcomes the performance bottleneck induced by variable coefficient matrices associated with the variable density and variable viscosity; (iii) it completely de-couples the computations of the velocity, pressure, and the phase field function. Strategy for spectral-element type spatial discretizations to overcome the difficulty associated with the large spatial order of the Cahn-Hilliard equation is also discussed. Ample numerical simulations demonstrate that the current algorithm, together with the Navier-Stokes Cahn-Hilliard phase field approach, is an efficient and effective method for studying two-phase flows involving large density ratios, moving contact lines, and interfacial topology changes.