Damping of sloshing impact on bottom-layer fluid by adding a viscous top-layer fluid

Korkmaz, Fatih C.

doi:10.1016/j.oceaneng.2022.111357

Cited by 7 publications

(1 citation statement)

References 29 publications

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“…Two-phase incompressible fluid flows exist widely in natural world, such as droplet formation in micro-fluid device [21,22], liquid sloshing in ship and ocean engineering [23], and fluid instability [24], etc. The Cahn-Hilliard-Navier-Stokes (CHNS) model is practical to describe the interfacial change and fluid motion.…”

Section: Introductionmentioning

confidence: 99%

Linear and Energy-Stable Method with Enhanced Consistency for the Incompressible Cahn–Hilliard–Navier–Stokes Two-Phase Flow Model

Huang¹,

Yang

2022

Mathematics

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The Cahn–Hilliard–Navier–Stokes model is extensively used for simulating two-phase incompressible fluid flows. With the absence of exterior force, this model satisfies the energy dissipation law. The present work focuses on developing a linear, decoupled, and energy dissipation-preserving time-marching scheme for the hydrodynamics coupled Cahn–Hilliard model. An efficient time-dependent auxiliary variable approach is first introduced to design equivalent equations. Based on equivalent forms, a BDF2-type linear scheme is constructed. In each time step, the unique solvability and the energy dissipation law can be analytically estimated. To enhance the energy stability and the consistency, we correct the modified energy by a practical relaxation technique. Using the finite difference method in space, the fully discrete scheme is described, and the numerical solutions can be separately implemented. Numerical results indicate that the proposed scheme has desired accuracy, consistency, and energy stability. Moreover, the flow-coupled phase separation, the falling droplet, and the dripping droplet are well simulated.

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