1992
DOI: 10.1016/0167-2789(92)90227-e
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Computations of multi-fluid flows

Abstract: Full numerical simulations of three-dimensional flows of two or more immiscible fluids of different densities and viscosities separated by a sharp interface with finite surface tension are discussed. The method used is based on a finite difference approximation of the full Navier-Stokes equations and explicit tracking of the interface between the fluids. Preliminary simulations of the Rayleigh-Taylor instability and the motion of bubbles are shown.

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Cited by 130 publications
(71 citation statements)
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References 44 publications
(40 reference statements)
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“…For the simulations presented here, the method developed by Unverdi and Tryggvason [11] is used. They simulated the motion of buoyant bubbles in a periodic domain.…”
Section: Methodsmentioning
confidence: 99%
“…For the simulations presented here, the method developed by Unverdi and Tryggvason [11] is used. They simulated the motion of buoyant bubbles in a periodic domain.…”
Section: Methodsmentioning
confidence: 99%
“…The front tracking methods [47], level set methods [48] and volume of fluid methods [49] are the most commonly used ones for interface modeling. For the purpose of interface capturing Eq.…”
Section: Modeling the Interfacementioning
confidence: 99%
“…Applications include aquatic locomotion [25], blood platelet aggregation [27] [28], [29], and wave motion in the cochlea (by LeVeque's student Richard Beyer) [16], [17]. Similar approaches have also been used outside of biophysics, e.g., to sedimentation [64] and bubble dynamics [66], [67]. However, the method is at most first order accurate due to the way the singular force is smeared out over an O(h) region.…”
Section: Introductionmentioning
confidence: 99%