An accurate adaptive solver for surface-tension-driven interfacial flows

By Stéphane Popinet. Journal of Computational Physics, 2009

1,505 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/f8f84166a2f65d2448db5c2af1257669dfece7f3

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In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

Numerical simulation of droplets, bubbles and waves: state of the art (2009, methodology): “To lift this restriction, Popinet [17] proposed to extend the VOF method to adaptive octree grids.”
Evaluating the performance of the two-phase flow solver interFoam (2012, background): “While these methods appear to perform well in mildly behaved test cases, several authors [32, 52] have indicated that these methods also become error-prone in high-curvature or poorly resolved regions.”
Air entrainment and bubble statistics in breaking waves (2016, positive): “In Gerris, the interface between volumes of water (tracer T = 1) and air (tracer T = 0) is reconstructed by a discrete geometric VOF method (Scardovelli & Zaleski 1999).”
Multiscale simulation of atomization with small droplets represented by a Lagrangian point-particle model (2014, methodology): “As in several other works [46] [21] [45], a balanced-force surface tension discretization is employed.”
r.avaflow v1, an advanced open-source computational framework for the propagation and interaction of two-phase mass flows (2016, neutral): “…2002; Hungr and Evans, 2004; Hungr et al., 2005b; Le and Pitman, 2009) have been recognized by the scientiﬁc community, attempts to simulate deposition of mass ﬂow material are sparsely documented (2015) developed a modelling tool relying on the open-source ﬂow solver GERRIS (Popinet, 2009).”
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].”
Capillary effects on wave breaking (2015, methodology): “It has been validated extensively, in particular through comparisons with wave-like solutions for capillary waves (Popinet 2009) as well as shearlayer instabilities (Bague et al. (2010); Fuster et al. (2013)).”
Multiscale simulations of primary atomization (2010, methodology): “For validation of the implementation of the Lagrangian particle-tracking algorithm, the motion of a particle computed using Gerris is compared with the results obtained from the Runge-Kutta integration using a prescribed shearflow field.”
Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability (2016, neutral): “[30,32], which also provide several validation cases.”
A review of level-set methods and some recent applications (2018, background): “They are however more complicated than level-set methods in three spatial dimensions and it is difficult to compute accurately smooth geometric properties such as curvatures from the volume fraction alone, although we refer the reader to the interesting work of Popinet on this issue [20].”
A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities (2010, result): “It is interesting to note that the results in Figure 3 appear to be very similar to those in Figure 18 in [17] which was computed by using an adaptive volume-of-fluid approach under a similar physical situation.”
Numerical Models of Surface Tension (2018, methodology): “See Popinet (2009) and Lopez et al. (2009) for examples of this approach.”
Numerical simulation of a single rising bubble by VOF with surface compression (2013, methodology): “Methods following this approach include donor–acceptor method [3], simple line interface calculation, piecewise linear interface construction [15] or efficient least-squares volume of fluid interface reconstruction algorithm [16].”