A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids

By Marcus Herrmann. Journal of Computational Physics, 2008

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An accurate conservative level set/ghost fluid method for simulating turbulent atomization (2008, methodology): “One additional benefit of using GFM is that because the surface tension force is embedded in the pressure gradient, the discrete balance of pressure forces and surface tension forces is guaranteed, whereas several other methods require an explicit treatment to obtain this property [7,25].”
An accurate adaptive solver for surface-tension-driven interfacial flows (2009, neutral): “1 AMS: 65M50; 76D05; 76D25; 76D45; 76M12; 76T10 Keywords: Adaptive mesh refinement; Surface tension; Navier-Stokes equations; Height-Function; Parasitic currents; Volume-Of-Fluid; Octree”
Lagrangian-Eulerian methods for multiphase flows (2013, background): “However, it is possible to use the LE approach to couple a Lagrangian description of the dispersed phase with large eddy simulations (LES) or direct numerical simulation (DNS) of the carrier gas phase, resulting in the following principal categories of LE methods: (1) Fully–resolved DNS (FR-DNS) of ”
Numerical Models of Surface Tension (2018, background): “Details can be found in e.g. (Torres & Brackbill 2000, Herrmann 2008, Fuster et al. 2009).”
Numerical simulation of droplets, bubbles and waves: state of the art (2009, result): “While mass conservation has always been a key advantage of VOF methods (compared to e.g. Level-Set methods), momentum conservation has generally received less attention.”