A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework

By Marianne M. Francois, Sharen J. Cummins, E. Dendy, Douglas B. Kothe, J. Sicilian, M. W. Williams. Journal of Computational Physics, 2006

799 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/b3338b9779e1faed50eef8191a0ef6b3d06a460d

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In Computational Mechanics

Citations in the corpus

[INVITED] An overview of the state of art in laser welding simulation (2016, methodology): “Some quite recent numerical techniques can be used to enhance the simulation of the boundary gap: the “sharp interface method” [35] or the “balanced forced method” [24].”
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”
Influence of surface tension implementation in Volume of Fluid and coupled Volume of Fluid with Level Set methods for bubble growth and detachment (2013, background): “Three different pressure definitions are considered in this analysis (Francois et al., 2006):”
Multiscale simulation of atomization with small droplets represented by a Lagrangian point-particle model (2014, background): “As in several other works [46] [21] [45], a balanced-force surface tension discretization is employed.”
Multiscale simulations of primary atomization (2010, methodology): “(4) The surface tension force (σκδsn)n+ 1 2 is calculated using a balanced-force surface-tension calculation [48].”
A sharp interface method for incompressible two-phase flows (2007, methodology): “Our results are also comparable to recent work by [18] in which a height fraction approach for surface tension was tested.”
Benchmark numerical simulations of segmented two-phase flows in microchannels using the Volume of Fluid method (2013, methodology): “A second issue of the VOF method is the presence of parasitic currents, which originate from errors in calculating the curvature of the interface and from an imbalance between the discrete surface tension force and the pressure-gradient terms [6,27–29].”
Numerical Models of Surface Tension (2018, methodology): “…the GFM is attributed to the “sharper” surface tension representation provided by the GFM, a conclusion which is contested in the latter article by Francois et al. (2006), in connection with their “SharpSurface-Force” (SSF) model (this model is actually identical to the Dirac formulation (3) of…”
Height functions for applying contact angles to 2D VOF simulations (2008, methodology): “Second, methods have been developed recently to accurately calculate interface normals and curvatures from volume fractions: (E)LVIRA [16], PROST [4], and so-called height functions (HF) [1, 3, 5] yield normals and curvatures that converge with mesh refinement.”
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids (2008, methodology): “[16] is followed, resulting in ( ∂hp ∂r )”
An accurate conservative level set/ghost fluid method for simulating turbulent atomization (2008, background): “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].”
Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method (2012, methodology): “An often reported problem is the existence of the so-called spurious currents in the flow field of the numerical simulations [32,31,35,36,25,22,33,34,37].”