Diffuse interface model for incompressible two-phase flows with large density ratios

By Hang Ding, Peter D. M. Spelt, Chi-Wang Shu. Journal of Computational Physics, 2007

714 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9aea641da86d419b8b7ff81189de76d26a004fff

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

1. Xiaofeng Yang
2. Jie Shen
3. Qing Liu
4. Qing Li
5. Yangyang He
6. Qinjun Kang
7. Albert J. Valocchi
8. Charles J. Werth

In Materials Chemistry

1. Xiaofeng Yang
2. Jie Shen
3. Junseok Kim
4. Xiaoming Wang
5. Dong Sun
6. Daozhi Han
7. Axel Voigt
8. Sebastian Aland

Citations in the corpus

• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “(172) over the occupied space and then using the divergence theorem [304].”
• Two‐phase flows in karstic geometry (2014, methodology): “The Cahn-Hilliard-Stokes system can be viewed as the low Reynolds number approximation of the better-known Cahn-Hilliard-Navier-Stokes system for two phase flow [28, 35, 34, 36, 40, 66, 67, 68, 69, 70].”
• Pore-Scale Simulations of Gas Displacing Liquid in a Homogeneous Pore Network Using the Lattice Boltzmann Method (2013, background): “In addition, the Cahn–Hilliard equation (CHE) is a fourth-order nonlinear partial differential equation, requiring an iterative solution procedure and a higher-order interpolation of the numerical discretization scheme when one uses a traditional CFD solver (Rajagopal et al. 2010).”
• Benchmark computations of diffuse interface models for two‐dimensional bubble dynamics (2012, methodology): “The model used in [6, 7] uses Equations (4)–(7) but with variable density and viscosity given by .”
• Phase-Field Models for Multi-Component Fluid Flows (2012, background): “In [30], the applicability of an incompressible diffuse interface model for two-phase incompressible fluid flows with large viscosity and density contrasts was investigated.”
• Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces (2010, methodology): “(1) can be rewritten as oC ot þr ðuCÞ 1⁄4 r j1: ð3Þ If the diffusive flow rate is not related to the densities but to the local compositions of two components, we have j1 = j2 = j, which yields [31]: r u 1⁄4 0: ð4Þ The above condition is only approximately satisfied in the LBE method at low Mach num”
• Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities (2011, background): “The further derivation of Boyer differs from the one in [12] and ours since the starting point are the equations for the conservation of linear momentum of each single fluid.”
• A conservative phase field method for solving incompressible two-phase flows (2011, methodology): “[16] and Sussman and Smereka[5]: There is a spherical bubble with radius R(=1) in the cubic domain [0,8R] [0,8R] [0,8R].”
• A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities (2010, background): “In recent years, the diffuse interface approach, whose origin can be traced back to [21] and [27], has been successfully used to model two-phase incompressible fluids under various situations (cf. [10] [1] [15] [11] [13] [29] and the references therein).”