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

Herrmann, Marcus

doi:10.1016/j.jcp.2007.11.002

Cited by 286 publications

(232 citation statements)

References 57 publications

(102 reference statements)

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“…This test case is similar to that used by Torres and Brackbill [25] and Hermann [12] and we compare the results obtained using Gerris with the results presented in both of these papers. A comparison between the theoretical and numerical values of the frequency is given in Figure 2 for n = 2 and = 0.05.…”

Section: Methodsmentioning

confidence: 89%

Numerical simulation of droplets, bubbles and waves: state of the art

et al. 2009

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Abstract. This work present current advances in the numerical simulation of twophase flows using a VOF method, balanced-force surface tension and quad/octree adaptive mesh refinement. The simulations of the atomization of a liquid sheet, the capillary retraction of a liquid sheet and two-and three-dimensional wave breaking all for air/water systems, are used to show the potential of the numerical techniques. New simulations of atomization processes for air/water conditions are allowing to investigate the processes leading to the appearance of instabilities in the primary atomization zone in real conditions. For the retracting liquid sheet, the new simulations show that two different regimes can be encountered as a function of the Ohnesorge number. For large values, a laminar flow is encountered inside the rim and a steady state is reached after a quick transient state. For small values, a turbulent flow is generated inside the rim which is responsible of large oscillations in the rim size and neck thickness. The breaking wave case study demonstrates the orders-of-magnitude efficiency gains of the adaptive mesh refinement method.

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Section: Methodsmentioning

confidence: 89%

Numerical simulation of droplets, bubbles and waves: state of the art

et al. 2009

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“…A number of test cases have been performed by Popinet 45 to determine the order of errors in the surface force calculation as compared with other methods like combined level set and volume of fluid (CLSVOF), and front tracking. Gerris is able to minimize the amplitude of spurious currents, scaled with (2R/s) 1/2 where s is the surface tension coefficient, to o10 À 12 as compared with other numerical simulations, which employed level-set (LS) 46 , CLSVOF 47 and front tracking 48 , which could go up to minimum amplitude of about 10 À 6 . As shown in ref.…”

Section: Methodsmentioning

confidence: 99%

Dynamics of an initially spherical bubble rising in quiescent liquid

2015

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“…This test case was already used in several articles, see for instance [14,25,16,13]. The initial configuration is a 2D droplet with a perturbed radius: r = r 0 1 + α cos(2θ) (in polar coordinates).…”

Section: Droplet Oscillationmentioning

confidence: 99%

An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model

Minjeaud

2012

Numerical Methods Partial

105

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Abstract. We propose an original scheme for the time discretization of a triphasic CahnHilliard/Navier-Stokes model. This scheme allows an uncoupled resolution of the discrete CahnHilliard and Navier-Stokes system, is unconditionally stable and preserves, at the discrete level, the main properties of the continuous model. The existence of discrete solutions is proved and a convergence study is performed in the case where the densities of the three phases are the same.

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

Cited by 286 publications

References 57 publications

Numerical simulation of droplets, bubbles and waves: state of the art

Numerical simulation of droplets, bubbles and waves: state of the art

Dynamics of an initially spherical bubble rising in quiescent liquid

An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model

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