An interfacial profile-preserving approach for phase field modeling of incompressible two-phase flows

Hao，Haohao; Li，Xiangwei; Jiang，Chenglin; Tan，Huanshu

2024-04-01

10.1016/j.ijmultiphaseflow.2024.104750

International Journal of Multiphase Flow   影响因子和分区

0301-9322

The Phase Field Method stands as a promising technique for modeling complex two-phase and multi-phase flow systems, with the advective Cahn–Hilliard equation adept at capturing the evolution of intricate interfacial structures. However, achieving simulation accuracy necessitates the preservation of the diffuse interface profile, which is often challenged by the convection term within the Cahn–Hilliard equation, leading to deviations from the equilibrium interface state. To address this challenge, we introduce an innovative approach aimed at iteratively restoring the equilibrium interface profile after each time step. This method combines a level-set profile-corrected equation with an algebraic relation between the phase field and the signed distance function, resulting in a preservation equation that relies on the phase-field-related signed distance function rather than the phase field function itself. Quantitative computational tests affirm the effectiveness of this approach in minimizing discretization errors, reducing dependence on the numerical Péclet number, and improving mass conservation accuracy for each phase, all while reducing computational time by approximately 20-fold due to the coarser grid used. Validation through simulations across various scenarios demonstrates the approach's reliability, with results closely aligning with analytical solutions, prior numerical findings, and experimental data, thereby underscoring the efficiency and precision of our proposed approach.

Advective Cahn–Hilliard Mass conservation Phase-field method Profile-preservation Surface tension Two-phase flow

SCI

英语

第一 ; 通讯

ENGINEERING

2-s2.0-85184594364

Scopus

Multicomponent Fluids group,Center for Complex Flows and Soft Matter Research & Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China

Hao，Haohao,Li，Xiangwei,Jiang，Chenglin,et al. An interfacial profile-preserving approach for phase field modeling of incompressible two-phase flows[J]. International Journal of Multiphase Flow,2024,174.

Hao，Haohao,Li，Xiangwei,Jiang，Chenglin,&Tan，Huanshu.(2024).An interfacial profile-preserving approach for phase field modeling of incompressible two-phase flows.International Journal of Multiphase Flow,174.

Hao，Haohao,et al."An interfacial profile-preserving approach for phase field modeling of incompressible two-phase flows".International Journal of Multiphase Flow 174(2024).