| Abstract: |
| In this talk, we present fully-discrete, energy stable methods on a spatially staggered grid for a hydrodynamic phase field model of binary viscous fluid mixtures in a confined geometry subject to both physical and periodic boundary conditions. We apply the energy quadratization (EQ) strategy to develop a linear-implicit scheme.Then we extend it to a decoupled, linear scheme by introducing an intermediatevelocity term, where the phase variable, velocity field and pressure can be solvedsequentially. The two new fully discrete linear schemes are then shown to beunconditionally energy stable and the linear systems resulted from the schemes are proved uniquely solvable. |
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