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An efficient mass-preserving interface-correction level set/ghost fluid method for droplet suspensions under depletion forces

Article dans une revue avec comité de lecture
Author
GE, Zhouyang
261076 KTH Mechanics
TAMMISOLA, Outi
261076 KTH Mechanics
BRANDT, Luca
261076 KTH Mechanics
ccLOISEAU, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]

URI
http://hdl.handle.net/10985/18775
DOI
10.1016/j.jcp.2017.10.046
10.1016/j.jcp.2017.10.046
Date
2018
Journal
Journal of Computational Physics

Abstract

Aiming for the simulation of colloidal droplets in microfluidic devices, we present here a numerical method for two-fluid systems subject to surface tension and depletion forces among the suspended droplets. The algorithm is based on an efficient solver for the incompressible two-phase Navier–Stokes equations, and uses a mass-conserving level set method to capture the fluid interface. The four novel ingredients proposed here are, firstly, an interface-correction level set (ICLS) method; global mass conservation is achieved by performing an additional advection near the interface, with a correction velocity obtained by locally solving an algebraic equation, which is easy to implement in both 2D and 3D. Secondly, we report a second-order accurate geometric estimation of the curvature at the interface and, thirdly, the combination of the ghost fluid method with the fast pressurecorrection approach enabling an accurate and fast computation even for large density contrasts. Finally, we derive a hydrodynamic model for the interaction forces induced by depletion of surfactant micelles and combine it with a multiple level set approach to study short-range interactions among droplets in the presence of attracting forces.

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