Estimating curvature from volume fractions

434 citations recorded by the source corpus.

How researchers see this paper

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

A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework (2006, methodology): “We consider here two different curvature approximations: a convolution technique and a height function method, described next.”
Benchmark numerical simulations of segmented two-phase flows in microchannels using the Volume of Fluid method (2013, methodology): “a level set function [30] or height function [31,32]) used only to calculate the curvature.”
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”
Height functions for applying contact angles to 2D VOF simulations (2008, methodology): “[1] have shown that curvatures calculated in this way are second-order accurate.”
Numerical Models of Surface Tension (2018, methodology): “While results do improve when stronger diffusion is applied, several studies have since showed that this method is not consistent for curvature i.e. errors on curvature tend to increase with spatial resolution (see e.g. Wiliams et al. (1998), Cummins et al. (2005) or Tryggvason et al. (2011)).”