A continuous surface tension force formulation for diffuse-interface models

By Junseok Kim. 2005

298 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/785877a706e8cdf09a68cb6a3fbad40a7f06e1c1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

Citations in the corpus

Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method. (2008, unknown): “(65) was introduced by Kim (2005).”
Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, background): “(132), (133), and (134), have been demonstrated to be valid for both density-matched binary fluids [65, 303] and two-phase fluid flows with a density contrast [304].”
A practically unconditionally gradient stable scheme for the N-component Cahn-Hilliard system (2012, methodology): “The fluid dynamics is described by the Navier–Stokes–Cahn–Hilliard (NSCH) equations [3,7,9–13,30,46,48,56,68–70]:”
Phase field computations for ternary fluid flows (2007, methodology): “We propose a ternary phase field model which combines good features of previous multiphase models [5, 20 ].”
Study of a three component Cahn-Hilliard flow model (2006, unknown): “This coupling (but also some variants) can be justified by several means that we do not develop here (see [6, 15, 19, 21]).”
Cahn–Hilliard/Navier–Stokes Model for the Simulation of Three-Phase Flows (2010, methodology): “3 Coupling with the hydrodynamics To complete the modelling of three-phase incompressible flows, the Cahn-Hilliard system (5) is then coupled with Navier-Stokes equations (for more details see [3,4,11, 14]).”
Transition from squeezing to dripping in a microfluidic T-shaped junction (2008, methodology): “Chemical processing Micromixing inside drops Song et al. (2003) Drops and slugs as mixing elements Gunther et al.”
Phase-Field Models for Multi-Component Fluid Flows (2012, methodology): “The phase-field is defined to be either the difference between [73] or the fraction of one of [56] the concentrations of the two mixtures φ= m1−m2 m1+m2 , c= m1 m1+m2 , (2.”
A lattice Boltzmann model for multiphase flows with large density ratio (2006, background): “The oscillation frequency from the theory [22,12] is”
Diffuse interface model for incompressible two-phase flows with large density ratios (2007, methodology): “Kim [17] presented a comparison of (two-dimensional) numerical results obtained from the H Model for density-matched fluids with analytical results from the Navier-Stokes equations with a sharp interface for a capillary wave, and for a deformed droplet in a shear flow.”