A coupled level-set and volume-of-fluid method for simulating axi-symmetric incompressible two-phase flows

Fushui Liu, Yang Xu and Yikai Li

Applied Mathematics and Computation, 2017, vol. 293, issue C, 112-130

Abstract: A coupled level-set and volume-of-fluid (CLSVOF) method, combining the advantages of LS method and VOF method, is presented for simulating axi-symmetric incompressible liquid–gas flow problems. In this method, the interface is implicitly captured by the LS function, and the VOF function is used as a complement to remedy the mass conservation problem aroused in the advection and re-initialization of LS function. We propose a novel explicit algebraic relation between the LS function and VOF function to achieve the coupling of the two methods. Four typical axi-symmetric liquid–gas flow problems, including an equilibrium spherical liquid drop suspending in a quiescent gas environment, a liquid drop falling under the action of gravitational force, a single spherical gas bubble rising in a container filled with quiescent liquid, and the Rayleigh–Taylor instability aroused in a cylindrical container are simulated to validate the CLSVOF method. It is shown that the calculation results obtained by the CLSVOF method agree well with the theoretical solutions and experimental results.

Keywords: Interface capturing; Axi-symmetric two-phase flow; CLSVOF method; Bubble rising; Rayleigh–Taylor instability (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:293:y:2017:i:c:p:112-130

DOI: 10.1016/j.amc.2016.08.006

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