InterPore2018 New Orleans

Decoupled, energy stable scheme for Cahn-Hilliard phase field model of two-phase incompressible flows

17 May 2018, 11:41

15m

New Orleans

Oral 20 Minutes MS 2.02: Modeling and simulation of subsurface flow at various scales Parallel 10-H

Speaker

Dr Guangpu Zhu (Research Center of Multiphase Flow in Porous Media，School of Petroleum Engineering, China University of Petroleum (East China))

Description

In this paper, an efficient, totally decoupled and energy stable scheme is presented for the Cahn-Hilliard phase field model of two-phase incompressible flows. The rigorous proof of unconditional energy stability for the semi-implicit scheme and the fully discrete scheme are provided. The scalar auxiliary variable (SAV) approach is implemented to solve the Cahn-Hilliard equation while a splitting method based on the pressure stabilization is used to solve the Navier-Stokes equation. At each step, the scheme involves solving only a sequence of linear elliptic equations, including a pressure Poisson equation. An efficient finite difference spatial discretization on the staggered grids is applied to verify the accuracy and efficiency of the proposed schemes. Numerical results in both 2D and 3D demonstrate that the proposed schemes is very efficient, accurate and energy stable.

References

Shen, Jie, Jie Xu, and Jiang Yang. "The scalar auxiliary variable (SAV) approach for gradient flows." Journal of Computational Physics 353 (2018): 407-416.