A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows

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A geometrical area-preserving volume-of-fluid advection method (2003, methodology): “This has led to several mixed approaches that combine a couple of these methods, such as VOF and level set [17], VOF and interface markers [18,19].”
Evaluating the performance of the two-phase flow solver interFoam (2012, methodology): “The performance of the solver is compared with (i) the geometrical PLIC implementation of Rider and Kothe [30] and (ii) a more recent hybrid method of Aulissa et al [33], which uses marker particles along with volume fractions to accurately track the interface.”
A sharp interface method for incompressible two-phase flows (2007, background): “We observe that there are possibly more accurate representations of the interface [49, 41, 16, 4, 3, 40].”
Sharp interface tracking using the phase-field equation (2007, methodology): “L 1 L 2 L 1 L VOF 1 L VOF 1 L VOF 1 1 6 4· 64 0.5 3.2 6.38 · 10 À3 4.09 · 10 À2 0.483 5.23 · 10 À4 5.85 · 10 À4 2.69 · 10 À4 2a 80 · 80 0.01 10.3 2.94 · 10 À2 9.97 · 10 À2 3.071 N/A N/A N/A 2b 0.5 2.2 3.41 · 10 À3 1.84 · 10 À2 0.237 3 128 · 128 0.5 1.3 8.51 · 10 À4 3.99 · 10 À3 6.44 · 10 À2 1.17 · 1”
Numerical Models of Surface Tension (2018, methodology): “The improved kinematic properties of these schemes have been demonstrated in Enright et al. (2002) or Hieber and Koumoutsakos (2005) for particles + levelset and Aulisa et al. (2003) for particles + VOF.”