A nonconforming finite-element method for the two-dimensional Cahn-Hilliard equation
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
Mathematics of Computation
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
Multigrid
The Legendre collocation method for the Cahn-Hilliard equation
Journal of Computational and Applied Mathematics
Computation of multiphase systems with phase field models
Journal of Computational Physics
Conservative multigrid methods for Cahn-Hilliard fluids
Journal of Computational Physics
Large eddy simulation of mixing layer
Journal of Computational and Applied Mathematics - Special issue on proceedings of the international symposium on computational mathematics and applications
A continuous surface tension force formulation for diffuse-interface models
Journal of Computational Physics
A multigrid finite element solver for the Cahn-Hilliard equation
Journal of Computational Physics
On large time-stepping methods for the Cahn--Hilliard equation
Applied Numerical Mathematics
Diffuse interface model for incompressible two-phase flows with large density ratios
Journal of Computational Physics
Mathematics and Computers in Simulation
Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
Journal of Computational and Applied Mathematics
Analysis and approximation of linear feedback control problems for the Boussinesq equations
Computers & Mathematics with Applications
Numerical and computational efficiency of solvers for two-phase problems
Computers & Mathematics with Applications
Hi-index | 0.09 |
The Rayleigh-Taylor instability is a fundamental instability of an interface between two fluids of different densities, which occurs when the light fluid is pushing the heavy fluid. During the nonlinear stages, the growth of the Rayleigh-Taylor instability is greatly affected by three-dimensional effects. To investigate three-dimensional effects on the Rayleigh-Taylor instability, we introduce a new method of computation of the flow of two incompressible and immiscible fluids and implement a time-dependent pressure boundary condition that relates to a time-dependent density field at the domain boundary. Through numerical examples, we observe the two-layer roll-up phenomenon of the heavy fluid, which does not occur in the two-dimensional case. And by studying the positions of the bubble front, spike tip, and saddle point, we show that the three-dimensional Rayleigh-Taylor instability exhibits a stronger dependence on the density ratio than on the Reynolds number. Finally, we perform a long time three-dimensional simulation resulting in an equilibrium state.